Asymptotic behavior of solutions of N-th order forced integro-differential equations with β-Laplacian

被引：1

作者：

Grace, Said Rezk ^{[1
]}

Graef, John R. ^{[2
]}

Tunc, Ercan ^{[3
]}

机构：

[1] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt

[2] Univ Tennessee Chattanooga, Dept Math, Chattanooga, TN 37403 USA

[3] Tokat Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, TR-60240 Tokat, Turkiye

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2023年 / 52卷 / 04期

关键词：

higher order integro-differential equations; asymptotic behavior; 0-Laplacian; forced equation; INTEGRAL-INEQUALITIES; OSCILLATION;

D O I：

10.15672/hujms.1076176

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors prove some new results on the asymptotic behavior of solutions of nth order forced integro-differential equations with a 0-Laplacian. The main goal is to investigate when all solutions behave at infinity like certain nontrivial nonlinear functions. They apply a technique involving Young's inequality. The paper concludes with two examples illustrating the applicability of the main results.

引用

页码：923 / 930

页数：8

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