What is it about?

The study of difference equations and variational problems involving $p(k)$- -Laplacian operator was motivated by their applications in different fields of research, such as mechanical engineering, control systems, economics, social sciences, computer science, physics, artificial or biological neural networks, cybernetics, ecology, etc.

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Why is it important?

The study of difference equations and variational problems involving $p(k)$- -Laplacian operator was motivated by their applications in different fields of research, such as mechanical engineering, control systems, economics, social sciences, computer science, physics, artificial or biological neural networks, cybernetics, ecology, etc.

Perspectives

the existence and multiplicity of solutions for nonlinear discrete boundary value problems investigate by adopting variational methods due to Ricceri.

Mohsen Khaleghi Moghadam
Department of Basic Science, Sari Agricultural Sciences and natural Resources University, 578 Sari, Iran

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This page is a summary of: Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete p(k)-Laplacian operator, Open Mathematics, August 2017, De Gruyter,
DOI: 10.1515/math-2017-0090.
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