Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces

2008 ◽  
Vol 69 (10) ◽  
pp. 3310-3321 ◽  
Author(s):  
Xuemei Zhang ◽  
Meiqiang Feng ◽  
Weigao Ge
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Banach Spaces ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Integral Boundary Conditions ◽  
Existence Results ◽  
Nonlinear Boundary Value Problems ◽  
Integral Boundary ◽  
Nonlinear Boundary Value

scholarly journals Existence Theory for Perturbed Nonlinear Boundary Value Problems with Integral Boundary Conditions

2006 ◽  
Vol 13 (2) ◽  
pp. 215-228
Author(s):  
Abdelkader Belarbi ◽  
Mouffak Benchohra ◽  
Bapurao C. Dhage
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Integral Boundary Conditions ◽  
Existence Theory ◽  
Nonlinear Boundary Value Problems ◽  
Integral Boundary ◽  
Carathéodory Conditions ◽  
Nonlinear Boundary Value

Abstract In this paper, the existence of solutions and extremal solutions for a second order perturbed nonlinear boundary value problem with integral boundary conditions is proved under the mixed generalized Lipschitz and Carathéodory conditions.

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