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Volume 2, Issue 4
Existence of Positive Solutions for a Nonlinear Second Order Periodic Boundary Value Problem

Ping Liu, Yonghong Fan & Linlin Wang

DOI: 10.12150/jnma.2020.513

J. Nonl. Mod. Anal., 2 (2020), pp. 513-524.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

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

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COPYRIGHT: © Global Science Press

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@Article{JNMA-2-513, author = {Liu , PingFan , Yonghong and Wang , Linlin}, title = {Existence of Positive Solutions for a Nonlinear Second Order Periodic Boundary Value Problem}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {2}, number = {4}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.513}, url = {http://global-sci.org/intro/article_detail/jnma/18825.html} }
TY - JOUR T1 - Existence of Positive Solutions for a Nonlinear Second Order Periodic Boundary Value Problem AU - Liu , Ping AU - Fan , Yonghong AU - Wang , Linlin JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 513 EP - 524 PY - 2021 DA - 2021/04 SN - 2 DO - http://doi.org/10.12150/jnma.2020.513 UR - https://global-sci.org/intro/article_detail/jnma/18825.html KW - Positive solutions, First positive eigenvalue, Green's function, Topological degree. AB -

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.

Ping Liu, Yonghong Fan & Linlin Wang. (1970). Existence of Positive Solutions for a Nonlinear Second Order Periodic Boundary Value Problem. Journal of Nonlinear Modeling and Analysis. 2 (4). 513-524. doi:10.12150/jnma.2020.513
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