Necessary and Sufficient Conditions for Positive Solutions of Second-Order Nonlinear Dynamic Equations on Time Scales | Zendy

Zhi-Qiang Zhu | Zendy

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Necessary and Sufficient Conditions for Positive Solutions of Second-Order Nonlinear Dynamic Equations on Time Scales

Author(s) -

Zhi-Qiang Zhu

Publication year - 2011

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2011/769893

Subject(s) - mathematics , dynamic equation , nonlinear system , order (exchange) , riccati equation , differential equation , transformation (genetics) , mathematical analysis , independent equation , biochemistry , chemistry , physics , finance , quantum mechanics , economics , gene

This paper is concerned with the existence of nonoscillatory solutions forthe nonlinear dynamic equation (()(∘)()Δ)Δ+()∘=0 on time scales. By making use of the generalized Riccati transformation technique, weestablish some necessary and sufficient criteria to guarantee the existence. The last examples show that our results can be applied on the differential equations, the difference equations, and the -difference equations

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