Classification of Positive Solutions for a Quasilinear Dynamic Equations on Time Scales

Lanchu LIU

Abstract


In this paper, A classification of nonoscillatory solution of the quasilinear dynamic equation on time scales are considered, by Schauder, Knaster’s fixed-point theorem, Some necessary and sufficient conditions for nonoscillation of the dynamic equations on T are established.Our results as special case when T = R and T = N, involve and improve some known results.
Key words: Positive Solution; Fixed-point theorem; Time Scales

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