PRINCIPAL AND NONPRINCIPAL SOLUTIONS OF IMPULSIVE DYNAMIC EQUATIONS WITH APPLICATIONS | Zendy

Li Weina | Zendy; Qiaoluan Li | Zendy; Xiaojing Liu | Zendy; Feifei Cui | Zendy

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PRINCIPAL AND NONPRINCIPAL SOLUTIONS OF IMPULSIVE DYNAMIC EQUATIONS WITH APPLICATIONS

Author(s) -

Li Weina,

Qiaoluan Li,

Xiaojing Liu,

Feifei Cui

Publication year - 2012

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2012032

Subject(s) - oscillation (cell signaling) , principal (computer security) , mathematics , dynamic equation , order (exchange) , trench , mathematical analysis , computer science , economics , physics , chemistry , biochemistry , finance , nonlinear system , quantum mechanics , operating system , organic chemistry , layer (electronics)

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.

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