Theorems of Kiguradze-type and Belohorec-type revisited on time scales

This article concerns the oscillation of second-order nonlinear dynamic equations. By using generalized Riccati transformations, Kiguradze-type and Belohorec-type oscillation theorems are obtained on an arbitrary time scale. Our results cover those for differential equations and difference equations...

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2015; no. 71; pp. 1 - 12
Main Authors Hongwu Wu, Baoguo Jia, Lynn Erbe
Format Journal Article
LanguageEnglish
Published Texas State University 24.03.2015
Subjects
oscillation
second order
sublinear
Superlinear
time scales
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Summary:This article concerns the oscillation of second-order nonlinear dynamic equations. By using generalized Riccati transformations, Kiguradze-type and Belohorec-type oscillation theorems are obtained on an arbitrary time scale. Our results cover those for differential equations and difference equations, and provide new oscillation criteria for irregular time scales. Some examples are given to illustrate our results.
ISSN:1072-6691