Nonoscillation theory of nonlinear differential equations of Emden-Fowler type with variable exponents

被引：0

作者：

Jaros, Jaroslav ^{[1
]}

Takasi, Kusano ^{[2
]}

机构：

[1] Comenius Univ, Dept Math Anal & Numer Math, SK-84248 Bratislava, Slovakia

[2] Hiroshima Univ, Dept Math, Fac Sci, Higashihiroshima, Japan

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2025年

关键词：

Emden-Fowler differential equation with variable exponents; nonoscillatory solutions; P(X)-LAPLACIANS;

D O I：

10.1515/gmj-2025-2020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Emden-Fowler differential equation with variable exponents and establish necessary, sufficient and both necessary and sufficient conditions for the existence of nonoscillatory solutions of this equation with three different patterns of asymptotic behavior at infinity. The Schauder-Tikhonov fixed point theorem and duality principle are used for this purpose.

引用

页数：16

共 50 条

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