Necessary and Sufficient Conditions for Positive Solutions of Second-Order Nonlinear Dynamic Equations on Time Scales
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. Th...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/769893 |