Global existence results for certain second order delay integrodifferential equations with nonlocal conditions. (English) Zbl 0914.35148

Ntouyas, S. K.

Dyn. Syst. Appl. 7, No. 3, 415-425 (1998).

The author studies the global existence of solutions for second order initial value problems, with nonlocal conditions for semilinear delay integrodifferential equations in Banach space, by using the Leray-Schauder alternative and the theory of strongly continuous cosine families.

Reviewer: V.Lakshmikantham (Melbourne/Florida)

MSC:

35R10	Partial functional-differential equations
45K05	Integro-partial differential equations

Keywords:

global existence; nonlocal boundary value problems; Leray-Schauder alternative