scholarly journals The generalized method of quasilinearization and nonlinear boundary value problems with integral boundary conditions

2003 ◽  
pp. 1-15 ◽  
Author(s):  
Rahmat Khan
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Integral Boundary Conditions ◽  
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.

Solvability for nonlocal boundary value problems with generalized 𝑝-Laplacian on an unbounded domain

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Marek Matyjasik ◽  
Katarzyna Szymańska-Dȩbowska
Keyword(s):  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Sufficient Conditions ◽  
Integral Boundary Conditions ◽  
Nonlinear Boundary Value Problems ◽  
Integral Boundary ◽  
Positive Half

Abstract This paper is devoted to the existence of solutions for a class of nonlinear boundary value problems with integral boundary conditions and generalized 𝑝-Laplacian on the positive half-line. We establish sufficient conditions to guarantee the existence of solutions in a special function space by using Leray–Schauder-type arguments. Examples are also given to illustrate the main results.

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