Global Behavior of Positive Solutions of a Generalized Lane-Emden System of Nonlinear Differential Equations

被引：0

作者：

Alsaedi, Ramzi S. ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 02期

关键词：

Positive solutions; sub-super solution; Karamata regular varying functions; global behavior; ELLIPTIC-SYSTEMS; BOUNDED DOMAIN; EXISTENCE; UNIQUENESS;

D O I：

10.1007/s00009-017-0889-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the existence and the global behavior of positive solutions of the following generalized Lane-Emden system of differential equations: -u '' = a(x)u(alpha) v(r) in (0, 1), -v '' = b(x)u(s) v(beta) in (0, 1), u'(0) - v'(0) - 0; u(1) - v(1) - 0, where r, s is an element of R, alpha, beta < 1 such that gamma: = (1 - alpha)(1 - beta) - rs > 0 and the nonnegative functions a, b satisfy some conditions related to the Karamata regular variation theory.

引用

页数：14

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