ASYMPTOTIC BEHAVIOR OF INTERMEDIATE SOLUTIONS OF FOURTH-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH REGULARLY VARYING COEFFICIENTS

被引：0

作者：

Trajkovic, Aleksandra B. ^{[1
]}

Manojlovic, Jelena V. ^{[1
]}

机构：

[1] Univ Nis, Fac Sci & Math, Dept Math, Visegradska 33, Nish 18000, Serbia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Fourth order differential equation; asymptotic behavior of solutions; positive solution; regularly varying solution; slowly varying solution; STRONGLY MONOTONE SOLUTIONS; SHARP OSCILLATION CRITERIA; POSITIVE SOLUTIONS; INCREASING SOLUTIONS; FRAMEWORK; SYSTEMS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the fourth-order nonlinear differential equation (p(t) vertical bar x"(t) (vertical bar alpha-1)x"(t))" q(t)vertical bar x (t)vertical bar(beta-1)- x(t) = 0, alpha>beta with regularly varying coefficient p, q satisfying integral(infinity)(alpha) t(t/p(t)(1/alpha) dt < infinity in the framework of regular variation. It is shown that complete information can be acquired about the existence of all possible intermediate regularly varying solutions and their accurate asymptotic behavior at infinity.

引用

页数：33

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