二阶广义Emden-Fowler型延迟微分方程的振荡性分析

Abstract

Abstract:

We study the oscillatory behavior of a class of second-order generalized EmdenFowler-type nonlinear delay functional differential equations in this paper. By using a couple generalized Riccati transformation and some necessary analytic techniques, we establish some new oscillation criteria for the equations under both the cases canonical form and noncanonical form, which deal with some cases not covered by existing results in the literature. Three examples are given to illustrate the main results of this article.

Key words: Oscillation, Delay, Emden-Fowler-type differential equation, Riccati transformation

CLC Number:

O175.27

Jimeng Li. Oscillation Analysis of Second-Order Generalized Emden-Fowler-Type Delay Differential Equations[J].Acta mathematica scientia,Series A, 2019, 39(5): 1041-1054.

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References 12

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Oscillation Analysis of Second-Order Generalized Emden-Fowler-Type Delay Differential Equations

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