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Volume 31, Issue 1
Existence of Solutions for a Four-Point Boundary Value Problem with a $p(t)$-Laplacian

Yuanxiao Li, Wenjie Gao & Wenjing Song

DOI: 10.13447/j.1674-5647.2015.01.03

Commun. Math. Res., 31 (2015), pp. 23-30.

Published online: 2021-05

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  • Abstract

This paper deals with the existence of solutions to the $p(t)$-Laplacian equation with four-point boundary conditions. It is shown, by Leray-Schauder fixed point theorem and degree method, that under suitable conditions, solutions of the problem exist. The interesting point is that $p(t)$ is a general function.

  • Keywords

$p(t)$-Laplacian, four-point boundary condition, fixed point theorem, Leray-Schauder degree method.

  • AMS Subject Headings

34B15, 34L30, 47H10, 47H11

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-31-23, author = {Li , YuanxiaoGao , Wenjie and Song , Wenjing}, title = {Existence of Solutions for a Four-Point Boundary Value Problem with a $p(t)$-Laplacian}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {1}, pages = {23--30}, abstract = {

This paper deals with the existence of solutions to the $p(t)$-Laplacian equation with four-point boundary conditions. It is shown, by Leray-Schauder fixed point theorem and degree method, that under suitable conditions, solutions of the problem exist. The interesting point is that $p(t)$ is a general function.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.01.03}, url = {http://global-sci.org/intro/article_detail/cmr/18944.html} }
TY - JOUR T1 - Existence of Solutions for a Four-Point Boundary Value Problem with a $p(t)$-Laplacian AU - Li , Yuanxiao AU - Gao , Wenjie AU - Song , Wenjing JO - Communications in Mathematical Research VL - 1 SP - 23 EP - 30 PY - 2021 DA - 2021/05 SN - 31 DO - http://doi.org/10.13447/j.1674-5647.2015.01.03 UR - https://global-sci.org/intro/article_detail/cmr/18944.html KW - $p(t)$-Laplacian, four-point boundary condition, fixed point theorem, Leray-Schauder degree method. AB -

This paper deals with the existence of solutions to the $p(t)$-Laplacian equation with four-point boundary conditions. It is shown, by Leray-Schauder fixed point theorem and degree method, that under suitable conditions, solutions of the problem exist. The interesting point is that $p(t)$ is a general function.

Li , YuanxiaoGao , Wenjie and Song , Wenjing. (2021). Existence of Solutions for a Four-Point Boundary Value Problem with a $p(t)$-Laplacian. Communications in Mathematical Research . 31 (1). 23-30. doi:10.13447/j.1674-5647.2015.01.03
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