On nonlinear evolution equation of second order in Banach spaces

What is it about?

In this article is proved the existence of the very weak solution for differential-operator equations of second order with nonlinear operator in the main part. We would like to note that in particular if A is the differential operator this equation become the hyperbolic equation consequently one can investigate of the nonlinear hyperbolic equations with use of results and the approach of this article, which earlier not are studied.

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Why is it important?

One can investigate of the nonlinear hyperbolic equations with use of results and the approach of this article, which earlier not are studied