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Necessary and Sufficient Conditions for Positive Solutions of Second-Order Nonlinear Dynamic Equations on Time Scales
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-04
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper is concerned with the existence of nonoscillatory solutions for the nonlinear dynamic equation (p(t)(ψ∘x)(xσ)Δ)Δ+q(t)f∘xσ=0 on time scales.
By making use of the generalized Riccati transformation technique, we establish 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 q-difference equations.
American Psychological Association (APA)
Zhu, Zhi-Qiang. 2011. Necessary and Sufficient Conditions for Positive Solutions of Second-Order Nonlinear Dynamic Equations on Time Scales. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-497381
Modern Language Association (MLA)
Zhu, Zhi-Qiang. Necessary and Sufficient Conditions for Positive Solutions of Second-Order Nonlinear Dynamic Equations on Time Scales. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-497381
American Medical Association (AMA)
Zhu, Zhi-Qiang. Necessary and Sufficient Conditions for Positive Solutions of Second-Order Nonlinear Dynamic Equations on Time Scales. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-497381
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497381