Positive solutions for a class of phi-Laplacian differential systems with multiple parameters
dc.contributor.author | Yu, Xiaozhu ( ) | |
dc.contributor.author | Jing, Shiwen ( ) | |
dc.contributor.author | Lian, Hairong ( ) | |
dc.date.accessioned | 2023-01-05T15:26:24Z | |
dc.date.available | 2023-01-05T15:26:24Z | |
dc.date.issued | 2022-01-05 | |
dc.identifier.citation | Yu, X., Jing, S., & Lian, H. (2022). Positive solutions for a class of phi-Laplacian differential systems with multiple parameters. Electronic Journal of Differential Equations, 2022(01), pp. 1-13. | en_US |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/16436 | |
dc.description.abstract | In this article, we consider the double eigenvalue problem for a φ-Laplacian differential system. We prove the existence of positive solutions under the φ-super-linear condition by means of the Guo-Krasnosel'skii fixed point theorem and the topological degree. It is shown that there exists a continuous curve splitting ℝ2+ \ {(0, 0)} into disjoint subsets such that systems has at least two, at least one, or no positive solutions according to parameters in different subsets. | en_US |
dc.format | Text | |
dc.format.extent | 13 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.language.iso | en | en_US |
dc.publisher | Texas State University, Department of Mathematics | en_US |
dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | phi-Laplacian differential systems | en_US |
dc.subject | Eigenvalue | en_US |
dc.subject | Fixed point theorem | en_US |
dc.subject | Degree theory | en_US |
dc.subject | Positive solution | en_US |
dc.title | Positive solutions for a class of phi-Laplacian differential systems with multiple parameters | en_US |
dc.type | publishedVersion | |
txstate.documenttype | Article | |
dc.rights.license | ![]() This work is licensed under a Creative Commons Attribution 4.0 International License. | |
dc.description.department | Mathematics |