An Abstract Nonlocal Functional-Differential Second Order Evolution Cauchy Problem

Bednarz, Adam; Byszewski, Ludwik

doi:10.4467/2353737XCT.18.062.8374

Abstract

The aim of the paper is to prove two theorems on the existence and uniqueness of mild and classical solutions of a semilinear functional-differential evolution second order equation together with nonlocal initial conditions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied. The paper is based on publications [1–12] and is a generalization of paper [7].

References

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An Abstract Nonlocal Functional-Differential Second Order Evolution Cauchy Problem

Abstract

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