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Zbl 0874.35126
Ntouyas, S.K.; Tsamatos, P.Ch.
Global existence for semilinear evolution integrodifferential equations with delay and nonlocal conditions. (English)
[J] Appl. Anal. 64, No.1-2, 99-105 (1997). ISSN 0003-6811; ISSN 1563-504X/e

We study the global existence of solutions for semilinear evolution integrodifferential equations with nonlocal conditions, via a fixed point analysis approach. Using the Leray-Schauder alternative, we derive conditions under which a solution exists globally.
[S.K.Ntouyas]
MSC 2000:
*35R10 Difference-partial differential equations
45K05 Integro-partial differential equations

Keywords: Leray-Schauder alternative; a priori bounds; semilinear evolution integrodifferential equations; nonlocal Cauchy problem; global existence

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