Existence of positive solution for a nonlinear problem with mixed conditions

Peixoto, Adriano
2024
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ISSN
0049-4704
DOI
e-ISSN
2464-8728
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 Lp-Carath´eodory function satisfying certain properties. Three boundary conditions are analysed. Furthermore, we also prove the existence of a positive solution to the problem u′′ + b(t)g(u) = 0, where b(t) is an L1 function and g(u) is a continuous function. The proofs of the results are based on the Mawhin’s coincidence degree.
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Source
Adriano Peixoto, "Existence of positive solution for a nonlinear problem with mixed conditions" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.56 (2024)", EUT Edizioni Università di Trieste, Trieste, 2024, pp.
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
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