Existence of Positive Solutions for a Nonlinear Second Order Periodic Boundary Value Problem

Existence of Positive Solutions for a Nonlinear Second Order Periodic Boundary Value Problem

Year:    2020

Author:    Ping Liu, Yonghong Fan, Linlin Wang

Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 4 : pp. 513–524

Abstract

By using the first eigenvalue corresponding to the relevant linear operator and the topological degree theorem, sufficient conditions for the existence of positive solutions for a nonlinear second order periodic boundary value problem are given. Our results improve and generalize some preliminary works.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2020.513

Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 4 : pp. 513–524

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Positive solutions First positive eigenvalue Green's function Topological degree.

Author Details

Ping Liu

Yonghong Fan

Linlin Wang