Georgian Mathematical Journal 13 (2006), No. 2, 215--228
Copyright Heldermann Verlag 2006
Existence Theory for Perturbed Nonlinear Boundary Value Problems with Integral Boundary Conditions
Abdelkader Belarbi
Lab. de Mathématiques, Université de Sidi Bel Abbès, BP 89, 22000 Sidi Bel Abbès, Algeria
aek_belarbi@yahoo.fr
Mouffak Benchohra
Lab. de Mathématiques, Université de Sidi Bel Abbès, BP 89, 22000 Sidi Bel Abbès, Algeria
benchohra@yahoo.com
Bapurao C. Dhage
Kasubai, Gurukul Colony, Ahmedpur-413 515, Latur Maharashtra, India
bcd20012001@yahoo.co.in
The existence of solutions and extremal solutions for a second order perturbed nonlinear boundary value problem with integral boundary conditions is proved under mixed generalized Lipschitz and Carathéodory conditions.
Keywords: Nonlinear boundary value problem, fixed point, extremal solutions.
MSC: 34A60, 34B15
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