Ntouyas, S. K. Global existence results for certain second order delay integrodifferential equations with nonlocal conditions. (English) Zbl 0914.35148 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) Cited in 14 Documents MSC: 35R10 Partial functional-differential equations 45K05 Integro-partial differential equations Keywords:global existence; nonlocal boundary value problems; Leray-Schauder alternative PDF BibTeX XML Cite \textit{S. K. Ntouyas}, Dyn. Syst. Appl. 7, No. 3, 415--425 (1998; Zbl 0914.35148) OpenURL