Oscillation Criteria for Second‐Order Nonlinear Dynamic Equations On Time Scales

By Lynn Erbe, Allan Peterson, Samir H. Saker. 2003

138 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/2810d7d7fb41ce7cecb173d351e461b1bedfd2bc

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In Applied Mathematics

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

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 nonlinear functional neutral dynamic equations on time scales (2009, background): “In recent years, there has been much research activity concerning the oscillation and non-oscillation of various equations on time scales, and we refer the reader to papers ( 4-7 10 14 and the references cited therein.”
Oscillation Criteria for Half-Linear Delay Dynamic Equations on Time Scales (2009, background): “In the last few years, there has been increasing interest in 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 [1], [5], [7], [8], [9], [15], and the references cited therein”
Oscillation of second-order damped dynamic equations on time scales (2007, background): “A number of oscillation criteria for equations with damping terms can be found in the papers by Guseinov and Kaymakçalan [22], Erbe, Peterson and Saker [19], Erbe and Peterson [18] and Erbe, Peterson and Bohner [7].”
Hille and Nehari type criteria for third-order dynamic equations (2007, background): “We refer the reader to the papers [1-3], [6], [7], [9-12], [22-28] and the references cited therein.”
Hille and Nehari type criteria for third-order delay dynamic equations (2013, methodology): “We refer the reader to the papers [1–3,6,7,9–12,22–28] and references cited therein.”
Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations (2009, background): “In recent years, there has been much research activity concerning the oscillation and nonoscillation of various equations on time scales, we refer the reader to [2,3,10,13,14,16,17].”
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].”
Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations. (2007, background): “In [3], Akın-Bohner and Hoffacker considered the second order dynamic equation (1.4) P Q and gave necessary and sufficient conditions for oscillation of all solutions when *R7S9 and 4 * 4 9 .”
Oscillation criteria for second-order nonlinear delay dynamic equations (2007, background): “We start with the following auxiliary result, whose proof is similar to that which can be found in [13], and so is omitted.”
Some Oscillation Results for Second-Order Neutral Dynamic Equations (2012, unknown): “and established some sufficient conditions for oscillation by applying the results established in [ 16 ] for (1.2).”
Oscillation of Second Order Delay Dynamic Equations (2005, background): “The problem of obtaining sufficient conditions to ensure that all solutions of certain classes of second order dynamic equations are oscillatory has been studied by a number of authors [2, 3, 4, 5, 7, 11, 12, 13, 14, 15, 16, 21].”
Oscillation of Second Order Nonlinear Dynamic Equations on Time Scales (2004, result): “Remark 2.3. We note that our results in Theorem 2.5 and 2.6 improve the results that has been established for Eq.(1.1) by Saker [16], Bohner and Saker [7], Erbe, Peterson and Saker [ 13 ] since our results do not require that condition p(t) > 0: The results also improve the results that has been est”