INTEGRO-DIFFERENTIAL EVOLUTION NONLOCAL PROBLEM FOR THE FIRST ORDER EQUATION (II)

Ludwik Byszewski,

Teresa Winiarska

Abstrakt

The aim of this paper is to give two theorems on the existence and uniqueness of mild and classical solutions of a nonlocal semilinear integro-differential evolution Cauchy problem for the first order equation. The method of semigroups, the Banach fixed-point theorem and the Bochenek theorem are applied to prove the existence and uniqueness of the solutions of the considered problem.

Słowa kluczowe: nonlocal problem, integro-differential evolution problem, abstract Cauchy problem
References

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