OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES

doi:10.1016/S0252-9602(06)60031-3

Acta mathematica scientia,Series B

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OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES

Liu Ailian; Wu Hongwu; Zhu Siming; Ronald M. Mathsen

Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China

Received:2003-07-28 Revised:2003-12-24 Online:2006-01-20 Published:2006-01-20
Contact: Liu Ailian

Abstract

Abstract:

The article is concerned with oscillation of nonautonomous neutral dynamic delay equations on time scales. Sufficient conditions are established for the existence of bounded positive solutions and for oscillation of all solutions of this equation. Some results extend known results for difference equations when the time scale is the set bZ⁺ of positive integers and for differential equations when the time scale is the set R of real numbers.

Key words: Time scale, Delta-derivative, neutral delay equation, oscillation

CLC Number:

34K11

Liu Ailian; Wu Hongwu; Zhu Siming; Ronald M. Mathsen. OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES[J].Acta mathematica scientia,Series B, 2006, 26(1): 99-106.

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OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES

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