Geodesic
Global existence for functional semilinear integro-differential equations
Archivum mathematicum, Tome 34 (1998) no. 2, pp. 239-256 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper, we study the global existence of solutions for first and second order initial value problems for functional semilinear integrodifferential equations in Banach space, by using the Leray-Schauder Alternative or the Nonlinear Alternative for contractive maps.
In this paper, we study the global existence of solutions for first and second order initial value problems for functional semilinear integrodifferential equations in Banach space, by using the Leray-Schauder Alternative or the Nonlinear Alternative for contractive maps.
Classification : 34K30, 35R10, 45K05, 47D06
Keywords: Leray-Schauder Alternative; a priori bounds; partial functional integrodifferential equations; global existence 
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Ntouyas, Sotiris K. Global existence for functional semilinear integro-differential equations. Archivum mathematicum, Tome 34 (1998) no. 2, pp. 239-256. http://geodesic.mathdoc.fr/item/ARM_1998_34_2_a2/

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