Non-Monotonic Behavior of One-Signed Solutions of Quasilinear Differential Equations

被引：0

作者：

Kong, Qingkai ^{[1
]}

Pasic, Mervan ^{[2
]}

机构：

[1] Northern Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

[2] Univ Zagreb, Fac Elect Engn & Comp, Dept Appl Math, Zagreb 10000, Croatia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2018年 / 15卷 / 04期

关键词：

Monotone properties; non-monotonic behaviour; reciprocal equation; quasilinear; nonlinear perturbation; nonlinear oscillation; OSCILLATION;

D O I：

10.1007/s00009-018-1232-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of the second-order quasilinear differential equations. By deriving relations between certain types of monotonic solutions of the quasilinear equation and corresponding reciprocal half-linear equation on a finite interval (a, b), we obtain criteria for all solutions of the main equation, which do not change sign in (a, b), to be non-monotonic in (a, b). This work is also extended to a perturbed half-linear equation as well as to the half-line .

引用

页数：17

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