Professor Alberto Cabada
Universidade de Santiago de Compostela
Professor, Mathematics
Spain
My co-authors include
Prof. Roberto Garrappa
Dr Erkinjon Karimov
Prof. Virginia S. Kiryakova
Find me at
My Publications
Existence of Solutions of Integral Equations Defined in Unbounded Domains Via Spectral ...
Mediterranean Journal of Mathematics
February 2020
Existence Results for Nonlinear Fractional Problems with Non-Homogeneous Integral Bound...
Mathematics
February 2020
Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities
Advances in Difference Equations
October 2019
Lower and Upper Solutions for Even Order Boundary Value Problems
Mathematics
September 2019
An alternative explicit expression of the kernel of the one dimensional heat equation w...
Applied Mathematics Letters
March 2019
A variational approach to perturbed impulsive fractional differential equations
Journal of Computational and Applied Mathematics
October 2018
Existence of solutions for nth-order nonlinear differential boundary value problems by ...
Nonlinear Analysis Real World Applications
August 2018
Existence of solutions of integral equations with asymptotic conditions
Nonlinear Analysis Real World Applications
August 2018
Positive homoclinic solutions of n-th order difference equations with sign-changing Gre...
Mathematical Methods in the Applied Sciences
April 2018
FCAA related news, events and books (FCAA–volume 21–1–2018)
Fractional Calculus and Applied Analysis
February 2018
Nonlinear perturbed integral equations related to nonlocal boundary value problems
Fixed Point Theory
February 2018
Existence of positive periodic solutions of some nonlinear fractional differential equa...
Communications in Nonlinear Science and Numerical Simulation
September 2017
On linear differential equations and systems with reflection
Applied Mathematics and Computation
July 2017
Existence of solutions of nonlocal perturbations of dirichlet discrete nonlinear problems
Acta Mathematica Scientia
July 2017
On the smoothness of solutions of the third order nonlinear differential equation
Boundary Value Problems
May 2017
Characterization of non-disconjugacy for a one parameter family of <mml:math id="mml1" ...
Applied Mathematics Letters
March 2017
Existence results for nonlinear fractional Dirichlet problems on the right side of the ...
Georgian Mathematical Journal
January 2017
Constant sign solution for a simply supported beam equation
Electronic journal of qualitative theory of differential equations
January 2017
Green’s functions and spectral theory for the Hill’s equation
Applied Mathematics and Computation
August 2016
Green’s Functions for Reducible Functional Differential Equations
Bulletin of the Malaysian Mathematical Sciences Society
April 2016
Periodic solutions for some phi-Laplacian and reflection equations
Boundary Value Problems
February 2016
The eigenvalue characterization for the constant sign Green’s functions of ( k , n − k ...
Boundary Value Problems
February 2016
Disconjugacy characterization by means of spectral <mml:math altimg="si1.gif" display="...
Applied Mathematics Letters
February 2016
Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments a...
Topological Methods in Nonlinear Analysis
January 2016
Operator Method for Construction of Solutions of Linear Fractional Differential Equatio...
Fractional Calculus and Applied Analysis
January 2016
The existence of a positive solution for nonlinear fractional differential equations wi...
Mathematical Methods in the Applied Sciences
January 2016
On solvability of some boundary value problem for polyharmonic equation with boundary o...
Applied Mathematical Modelling
August 2015
Constant sign solutions of two-point fourth order problems
Applied Mathematics and Computation
July 2015
Existence results for singular φ-Laplacian problems in presence of lower and upper solu...
Analysis and Applications
March 2015
Multiplicity Results for Integral Boundary Value Problems of Fractional Order with Para...
Fractional Calculus and Applied Analysis
January 2015
Differential Equations with Involutions
January 2015
Involutions and Differential Equations
January 2015
General Results for Differential Equations with Involutions
January 2015
Order One Problems with Constant Coefficients
January 2015
The Non-constant Case
January 2015
General Linear Equations
January 2015
A Cone Approximation to a Problem with Reflection
January 2015
A generalization of an extensible beam equation with critical growth in <mml:math altim...
Nonlinear Analysis Real World Applications
December 2014
A positive fixed point theorem with applications to systems of Hammerstein integral equ...
Boundary Value Problems
December 2014
On solvability of a boundary value problem for a nonhomogeneous biharmonic equation wit...
Acta Mathematica Scientia
November 2014
Construction of <mml:math altimg="si13.gif" overflow="scroll" xmlns:xocs="http://www.el...
Applied Mathematics and Computation
October 2014
Existence results for a linear equation with reflection, non-constant coefficient and p...
Journal of Mathematical Analysis and Applications
April 2014
An integral boundary value problem for nonlinear differential equations of fractional o...
Journal of Integral Equations and Applications
March 2014
Nonlinear fractional differential equations with integral boundary value conditions
Applied Mathematics and Computation
February 2014
Existence and multiplicity of solutions to boundary value problems for fourth-order imp...
Boundary Value Problems
January 2014
Solutions and Green’s function of the first order linear equation with reflection and i...
Boundary Value Problems
January 2014
Green’s Functions in the Theory of Ordinary Differential Equations
January 2014
Green’s Functions in the Theory of Ordinary Differential Equations
November 2013
Existence of homoclinic constant sign solutions for a difference equation on the integers
Applied Mathematics and Computation
November 2013
Extremal solutions to fourth order discontinuous functional boundary value problems
Mathematische Nachrichten
September 2013
Comparison results for first order linear operators with reflection and periodic bounda...
Nonlinear Analysis
February 2013
On the Volterra property of a boundary problem with integral gluing condition for a mix...
Boundary Value Problems
January 2013
Multiplicity of solutions of a two point boundary value problem for a fourth-order equa...
Applied Mathematics and Computation
January 2013
New criteria for the existence of non-trivial fixed points in cones
Fixed Point Theory and Applications
January 2013
Nontrivial solutions of Hammerstein integral equations with reflections
Boundary Value Problems
January 2013
Preface
Boundary Value Problems
January 2013
Computation of Green’s functions for boundary value problems with Mathematica
Applied Mathematics and Computation
November 2012
Functional fractional boundary value problems with singular -Laplacian
Applied Mathematics and Computation
November 2012
Existence results and the monotone iterative technique for systems of nonlinear fractio...
Applied Mathematics Letters
June 2012
Heteroclinic solutions of a second-order difference equation related to the Fisher–Kolm...
Applied Mathematics and Computation
May 2012
Positive solutions of nonlinear fractional differential equations with integral boundar...
Journal of Mathematical Analysis and Applications
May 2012
On comparison principles for the periodic Hill's equation
Journal of the London Mathematical Society
April 2012
On a non-local boundary problem for a parabolic–hyperbolic equation involving a Riemann...
Nonlinear Analysis
April 2012
A note on a question of Ricceri
Applied Mathematics Letters
February 2012
Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method
Abstract and Applied Analysis
January 2012
Partial neutral functional integro-differential equations of fractional order with delay
Boundary Value Problems
January 2012
Nonlinear second-order equations with functional implicit impulses and nonlinear functi...
Nonlinear Analysis
December 2011
The Samarskii–Ionkin type problem for the fourth order parabolic equation with fraction...
Computers & Mathematics with Applications
November 2011
Existence of heteroclinic solutions for discrete -Laplacian problems with a parameter
Nonlinear Analysis Real World Applications
August 2011
First order differential equations with piecewise constant arguments and nonlinear boun...
Journal of Mathematical Analysis and Applications
August 2011
On a class of singular Sturm–Liouville periodic boundary value problems
Nonlinear Analysis Real World Applications
August 2011
Positive solutions of fourth order problems with clamped beam boundary conditions
Nonlinear Analysis
July 2011
Existence of positive solutions fornth-order periodic difference equations
The Journal of Difference Equations and Applications
June 2011
An Overview of the Lower and Upper Solutions Method with Nonlinear Boundary Value Condi...
Boundary Value Problems
January 2011
Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric ...
Abstract and Applied Analysis
January 2011
Existence of Solutions for Elliptic Systems with Nonlocal Terms in One Dimension
Boundary Value Problems
January 2011
Existence of Solutions for Elliptic Systems with Nonlocal Terms in One Dimension
Boundary Value Problems
January 2011
Multiplicity results for nonlinear periodic fourth order difference equations with para...
Journal of Mathematical Analysis and Applications
November 2010
Integration of the Toda lattice with an integral-type source
Inverse Problems
June 2010
A generalized anti-maximum principle for the periodic one-dimensional -Laplacian with s...
Nonlinear Analysis
April 2010
On Homoclinic Solutions of a Semilinear p-Laplacian Difference Equation with Periodic C...
Advances in Difference Equations
January 2010
On Homoclinic Solutions of a Semilinear -Laplacian Difference Equation with Periodic Co...
Advances in Difference Equations
January 2010
Existence of a non-zero fixed point for nondecreasing operators proved via Krasnoselski...
Nonlinear Analysis
September 2009
Extremal solutions to fourth-order functional boundary value problems including multipo...
Nonlinear Analysis Real World Applications
August 2009
Multiple solutions for discrete boundary value problems
Journal of Mathematical Analysis and Applications
August 2009
An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces
Boundary Value Problems
January 2009
Boundary Value Problems on Time Scales
Advances in Difference Equations
January 2009
On the sign of the Green’s function associated to Hill’s equation with an indefinite po...
Applied Mathematics and Computation
November 2008
Second order problems with functional conditions including Sturm-Liouville and multipoi...
Mathematische Nachrichten
September 2008
Fully nonlinear fourth-order equations with functional boundary conditions
Journal of Mathematical Analysis and Applications
April 2008
Positivity and lower and upper solutions for fourth order boundary value problems
Nonlinear Analysis
September 2007
Extremal solutions for nonlinear functional -Laplacian impulsive equations
Nonlinear Analysis
August 2007
EXISTENCE OF A SOLUTION FOR A SINGULAR DIFFERENTIAL EQUATION WITH NONLINEAR FUNCTIONAL ...
Glasgow Mathematical Journal
May 2007
Existence results for discontinuous functional differential systems
Applied Mathematics and Computation
May 2007
Nonlinear second-order equations with functional implicit impulses and nonlinear functi...
Journal of Mathematical Analysis and Applications
April 2007
Periodic Problem Involving Quasilinear Differential Operator and Weak Singularity
Advanced Nonlinear Studies
January 2007
Solvability for a third order discontinuous fully equation with nonlinear functional bo...
Journal of Mathematical Analysis and Applications
October 2006
Solvability of discontinuous functional differential systems in l∞(M)
The ANZIAM Journal
October 2006
Third-order right-focal multi-point problems on time scales
The Journal of Difference Equations and Applications
September 2006
First order difference equations with maxima and nonlinear functional boundary value co...
The Journal of Difference Equations and Applications
June 2006
Existence results for φ-Laplacian boundary value problems on time scales
Advances in Difference Equations
January 2006
Expression of the Lebesgue <mml:math altimg="si1.gif" display="inline" overflow="scroll...
Mathematical and Computer Modelling
January 2006
Existence of solutions of first-order dynamic equations with nonlinear functional bound...
Nonlinear Analysis
November 2005
Extremal solutions of -Laplacian–diffusion scalar problems with nonlinear functional bo...
Nonlinear Analysis
November 2005
Criterions for absolute continuity on time scales
The Journal of Difference Equations and Applications
September 2005
Extremal solutions for third-order nonlinear problems with upper and lower solutions in...
Nonlinear Analysis
September 2005
Optimal conditions to ensure the stability of periodic solutions of first order differe...
Journal of Computational and Applied Mathematics
April 2005
Nagumo type existence results for second-order nonlinear dynamic BVPS
Nonlinear Analysis
January 2005
Stability of periodic solutions of first-order difference equations lying between lower...
Advances in Difference Equations
January 2005
Existence of solutions of third-order functional problems with nonlinear boundary condi...
The ANZIAM Journal
July 2004
Difference phi-Laplacian Periodic Boundary Value Problems
June 2004
Green's function and comparison principles for first order periodic differential equati...
Journal of Mathematical Analysis and Applications
March 2004
Extremal solutions and Green's functions of higher order periodic boundary value proble...
Journal of Mathematical Analysis and Applications
February 2004
Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations
Advances in Difference Equations
January 2004
An Exact Formula for the Number of Alignments Between Two DNA Sequences
DNA Sequence
December 2003
Criteria for Existence and Nonexistence of Positive Solutions to a Discrete Periodic Bo...
The Journal of Difference Equations and Applications
September 2003
On the solvability of some discontinuous third order nonlinear differential equations w...
Journal of Mathematical Analysis and Applications
September 2003
Extremality and comparison results for discontinuous implicit third order functional in...
Applied Mathematics and Computation
August 2003
Proceedings of the American Mathematical Society
July 2003
Positive solutions for a class of implicit and discontinuous second order functional di...
Applied Mathematics and Computation
May 2003
Existence and uniqueness results for discrete second-order periodic boundary value prob...
Computers & Mathematics with Applications
March 2003
Fixed sign solutions of second-order difference equations with Neumann boundary conditions
Computers & Mathematics with Applications
March 2003
Existence theory for functional p-Laplacian equations with variable exponents
Nonlinear Analysis
January 2003
Maximum and anti-maximum principles for the general operator of second order with varia...
Applied Mathematics and Computation
January 2003
Existence results and approximation methods for functional ordinary differential equati...
Computers & Mathematics with Applications
July 2002
Implicit nonlinear discontinuous functional boundary value ϕ-Laplacian problems: extrem...
Applied Mathematics and Computation
July 2002
Extremality results for discontinuous explicit and implicit diffusion problems
Journal of Computational and Applied Mathematics
June 2002
Existence and Comparison Results for Difference φ-Laplacian Boundary Value Problems wit...
Journal of Mathematical Analysis and Applications
March 2002
Existence and Comparison Results for First Order Periodic Implicit Difference Equations...
The Journal of Difference Equations and Applications
January 2002
Comparison results for n-th order periodic difference equations
Nonlinear Analysis
August 2001
Extremal solutions for the difference φ-Laplacian problem with nonlinear functional bou...
Computers & Mathematics with Applications
August 2001
Extremality and Comparison Results for Discontinuous Third Order Functional Initial-Bou...
Journal of Mathematical Analysis and Applications
March 2001
Uniqueness, comparison, and existence results for third-order initial boundary value pr...
Computers & Mathematics with Applications
March 2001
Monotone method for the Neumann problem with lower and upper solutions in the reverse o...
Applied Mathematics and Computation
January 2001
Quasilinearization and Rate of Convergence for Higher-Order Nonlinear Periodic Boundary...
Journal of Optimization Theory and Applications
January 2001
On the Method of Upper and Lower Solutions for First Order BVPs
January 2001
Extremal solutions of strongly nonlinear discontinuous second-order equations with nonl...
Nonlinear Analysis
December 2000
Lower and upper solutions for the periodic problem associated with a ϕ – Laplacian equa...
September 2000
Optimal Existence Conditions for φ-Laplacian Equations with Upper and Lower Solutions i...
Journal of Differential Equations
September 2000
A generalization of the method of upper and lower solutions for discontinuous first ord...
Applied Mathematics and Computation
September 2000
Optimal Existence Results for nth Order Periodic Boundary Value Difference Equations
Journal of Mathematical Analysis and Applications
July 2000
Green's Function and Maximum Principle for Higher Order Ordinary Differential Equations...
Rocky Mountain Journal of Mathematics
June 2000
Fixed points and approximate solutions for nonlinear operator equations
Journal of Computational and Applied Mathematics
January 2000
Existence and approximation of solutions for first-order discontinuous difference equat...
Computers & Mathematics with Applications
January 2000
Existence of solution for discontinuous third order boundary value problems
Journal of Computational and Applied Mathematics
October 1999
Approximate solutions to a new class of nonlinear diffusion problems
Journal of Computational and Applied Mathematics
August 1999
Existence results for nonlinear problems with separated boundary conditions
Nonlinear Analysis
February 1999
Existence results for the problem (φ(u′))′=f(t,u,u′) with nonlinear boundary conditions
Nonlinear Analysis
January 1999
Boundary value problems for higher order ordinary differential equations with impulses
Nonlinear Analysis
June 1998
Rapid convergence of approximate solutions for first order nonlinear boundary value pro...
International Journal of Mathematics and Mathematical Sciences
January 1998
Existence result for the problem (φ(u′))′ = f(t, u, u′) with periodic and Neumann bound...
Nonlinear Analysis
December 1997
Rapid convergence of the iterative technique for first order initial value problems
Applied Mathematics and Computation
December 1997
Discontinuous impulsive differential equations with nonlinear boundary conditions
Nonlinear Analysis
May 1997
Maximum principles for fourth and sixth order periodic boundary value problems
Nonlinear Analysis
January 1997
A Positive Operator Approach to the Neumann Problem for a Second Order Ordinary Differe...
Journal of Mathematical Analysis and Applications
December 1996
The Method of Lower and Upper Solutions for Third-Order Periodic Boundary Value Problems
Journal of Mathematical Analysis and Applications
October 1995
Erratum Remarks on the monotone method for first-order problems with linear and nonline...
Applied Mathematics and Computation
May 1995
The Method of Lower and Upper Solutions for Second, Third, Fourth, and Higher Order Bou...
Journal of Mathematical Analysis and Applications
July 1994
The monotone method for first-order problems with linear and nonlinear boundary conditions
Applied Mathematics and Computation
July 1994
The method of lower and upper solutions fornth-order periodic boundary value problems
Journal of Applied Mathematics and Stochastic Analysis
January 1994
A generalized upper and lower solutions method for nonlinear second order ordinary diff...
Journal of Applied Mathematics and Stochastic Analysis
January 1992
Extremal solutions of second order nonlinear periodic boundary value problems
Applied Mathematics and Computation
November 1990
A generalization of the monotone iterative technique for nonlinear second order periodi...
Journal of Mathematical Analysis and Applications
September 1990
The monotone method for third order boundary value problems