Oscillation for a nonlinear dynamic system on time scales

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Erbe L., Mert R.

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, vol.17, no.9, pp.1333-1350, 2011 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 17 Issue: 9
• Publication Date: 2011
• Doi Number: 10.1080/10236190903527244
• Journal Name: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1333-1350
• Middle East Technical University Affiliated: Yes

Abstract

We study the oscillation properties of a system of two first-order nonlinear equations on time scales. This form includes the classical Emden-Fowler differential and difference equations and many of its extensions. We generalize some well-known results of Atkinson, Belohorec, Waltman, Hooker, Patula and others and also describe the relation to solutions of a delay-dynamic system.