Title

Positive Decreasing Solutions of Quasilinear Dynamic Equations

Abstract

We consider a quasilinear dynamic equation reducing to a half-linear equation, an Emden-Fowler equation or a Sturm-Liouville equation under some conditions. Any nontrivial solution of the quasilinear dynamic equation is eventually monotone. In other words, it can be either positive decreasing (negative increasing) or positive increasing (negative decreasing). In particular, we investigate the asymptotic behavior of all positive decreasing solutions which are classified according to certain integral conditions. The approach is based on the Tychonov fixed point theorem

Department(s)

Mathematics and Statistics

Sponsor(s)

University of Missouri Research Board

Keywords and Phrases

Sturm-Liouville equations; half-linear equations; measure chains; quasilinear equations; time scales

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2006 Elsevier, All rights reserved.

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