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

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.

2010 ◽  
Vol 2010 ◽  
pp. 1-12 ◽  
Author(s):  
Yong Wan ◽  
Yuji Liu

Sufficient conditions for the existence of solutions of nonlinear boundary value problems for higher-order functional difference equations withp-Laplacian are established by making of continuation theorems. We allowfto be at most linear, superlinear, or sublinear in obtained results.


2006 ◽  
Vol 13 (2) ◽  
pp. 215-228
Author(s):  
Abdelkader Belarbi ◽  
Mouffak Benchohra ◽  
Bapurao C. Dhage

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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