Leighton-Wintner type oscillation criteria for second-order differential equations with p(t)-Laplacian

被引：1

作者：

Fujimoto, Koedai ^{[1
]}

Onitsuka, Masakazu ^{[2
]}

机构：

[1] Shimane Univ, Acad Assembly, Inst Sci & Engn, Matsue, 6908504, Japan

[2] Okayama Univ Sci, Dept Appl Math, Okayama 7000005, Japan

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2024年 / 19期

关键词：

oscillation; second-order differential equation; p ( t )-Laplacian; quasilinear differential equation; Emden-Fowler differential equation; Riccati technique; SINGULAR SOLUTIONS; P(X)-LAPLACIANS;

D O I：

10.14232/ejqtde.2024.1.19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the oscillation problems for nonlinear differential equations of the form ( r ( t ) | x ' | p ( t ) - 2 x ' ) ' + c ( t ) f ( x ) = 0 involving p ( t ) -Laplacian. The Leighton-Wintner type oscillation criteria are established without any conditions on the limit of p ( t ) . In addition, we discuss the applications to partial differential equations. Some examples are given to illustrate our results.

引用

页码：1 / 9

页数：9

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