Existence of positive solution for a nonlinear problem with mixed conditions

2023/07/25 by Adriano Peixoto, Peixoto, Adriano
Mathematics · #Nonlinear Partial Differential Equations #Nonlinear Differential Equations Analysis #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.2307.13515

Abstract

In this work, we prove the existence of a positive solution to the second-order nonlinear problem u''+f(t,u,u')=0 with mixed boundary conditions, where f is an L^p-Carathéodory function satisfying certain properties. Three boundary conditions are analyzed. The proofs of the results are based on the Mawhin's. coincidence degree.

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