A necessary and sufficient condition for oscillation of the Sturm--Liouville dynamic equation on time scales

By Ondrej Doslý, S. Hilger. 2002

90 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3bb1262be24256caf0f450b234de700428667650

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In Applied Mathematics

In Mathematical Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Oscillation of second-order damped dynamic equations on time scales (2007, background): “In the last few years, much interest has focused on obtaining sufficient conditions for the oscillation/nonoscillation of solutions of different classes of dynamic equations on time scales, and we refer the reader to the papers [3–7,10–20,22,25–27].”
Oscillation of third order nonlinear functional dynamic equations on time scales (2010, background): “In the last few years, there has been an increasing interest in obtaining sufficient conditions for the oscillation/nonoscillation of solutions of different classes of dynamic equations, we refer the reader to the papers [1, 4, 6–11, 16], and the references cited therein.”
Oscillation Criteria for Second‐Order Nonlinear Dynamic Equations On Time Scales (2003, background): “Our results improve the results given in Došlý and Hilger [6] and Erbe and Peterson [9], and complement the results in Bohner and Saker [4].”
Oscillation of second-order nonlinear neutral delay dynamic equations on time scales (2006, background): “We refer the reader to the papers [2–4,7–14,21–23] and the reference cited therein.”
Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations. (2007, background): “We refer the reader to the papers [2, 3, 4, 7, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23].”
Nonoscillation and Oscillation Theory for Functional Differential Equations (2004, unknown): “Finally note that the results in [73, 86], i.”
Oscillation criteria for second-order nonlinear neutral delay dynamic equations (2004, unknown): “In recent years there has been much research activity concerning the oscillation and nonoscillation of solutions of ordinary dynamic equations on time scales, we refer the reader to the papers [3,6–15,18,19].”
Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales (2005, methodology): “nonoscillation of solutions of some dynamic equations on time scales, and we refer the reader to the papers [3, 4, 6-15, 18, 19].”