Geodesic
Global existence for functional semilinear integro-differential equations
Archivum mathematicum, Tome 34 (1998) no. 2, pp. 239-256.

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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.
Classification : 34K30, 35R10, 45K05, 47D06
Keywords: Leray-Schauder Alternative; a priori bounds; partial functional integrodifferential equations; global existence 
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     author = {Ntouyas, Sotiris K.},
     title = {Global existence for functional semilinear integro-differential equations},
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     zbl = {0910.35136},
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     url = {http://geodesic.mathdoc.fr/item/ARM_1998__34_2_a2/}
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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/