A NOTE ON THE OSCILLATION PROBLEMS FOR DIFFERENTIAL EQUATIONS WITH p(t)-LAPLACIAN

被引：3
|
作者：
Fujimoto, Kodai [1 ]
机构：
[1] Osaka Metropolitan Univ, Fac Liberal Arts Sci & Global Educ, 1-1 Gakuen Cho,Naka Ku, Sakai, Osaka 5998531, Japan
来源：
ARCHIVUM MATHEMATICUM | 2023年 / 59卷 / 01期
关键词：
oscillation; p(t)-Laplacian; half-linear differential equations;
D O I：
10.5817/AM2023-1-39
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with the oscillation problems on the nonlinear dif-ferential equation (a(t)|x'|p(t)-2x')'+b(t)|x|lambda-2x = 0 involving p(t)-Laplacian. Sufficient conditions are given under which all proper solutions are oscillatory. In addition, we give a-priori estimates for nonoscillatory solutions and propose an open problem.
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页码：39 / 45
页数：7
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