PRINCIPAL AND NONPRINCIPAL SOLUTIONS OF IMPULSIVE DYNAMIC EQUATIONS WITH APPLICATIONS

Weina Li; Qiaoluan Li; Xiaojing Liu; Feifei Cui

doi:10.11948/2012032

2012 Volume 2 Issue 4

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Weina Li, Qiaoluan Li, Xiaojing Liu, Feifei Cui. PRINCIPAL AND NONPRINCIPAL SOLUTIONS OF IMPULSIVE DYNAMIC EQUATIONS WITH APPLICATIONS[J]. Journal of Applied Analysis & Computation, 2012, 2(4): 431-440. doi: 10.11948/2012032

Citation:

Weina Li, Qiaoluan Li, Xiaojing Liu, Feifei Cui. PRINCIPAL AND NONPRINCIPAL SOLUTIONS OF IMPULSIVE DYNAMIC EQUATIONS WITH APPLICATIONS[J]. Journal of Applied Analysis & Computation, 2012, 2(4): 431-440. doi: 10.11948/2012032

PRINCIPAL AND NONPRINCIPAL SOLUTIONS OF IMPULSIVE DYNAMIC EQUATIONS WITH APPLICATIONS

College of Math. & Info. Sci., Hebei Normal University, Shijiazhuang, 050024, China

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Abstract

Abstract

In this paper, we introduce the concept of principal and nonprincipal solutions for second order impulsive dynamic equations on time scales. Polya and Trench Factorizations play an important role in this article. Firstly we establish these factorizations. Using these factorizations, we establish some new oscillation criteria for second impulsive dynamic equations on time scales.
- Principal /
- nonprincipal /
- dynamic equation /
- impulse /
- oscillation
MSC: 34K11;39A21

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References

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