Oscillation of Second Order Nonlinear Dynamic Equations on Time Scales

By Samir H. Saker, Martin J. Bohner. 2004

180 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/8ad6b303f883f72e2d7a95616ec5091dc16ae85e

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In Applied Mathematics

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

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].”
Oscillation criteria for second-order nonlinear delay dynamic equations (2007, methodology): “We refer the reader to the papers [[2]-[6], [8]-[15], [18]-[24]] and the references cited therein.”
Oscillation Criteria for Sublinear Half-Linear Delay Dynamic Equations (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, 4, 8, 10, 11, 14] and the references cited therein.”
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].”
Half-linear dynamic equations (2003, methodology): “We start with an extension of the well-known Leighton–Wintner criterion (see also [6, 10]).”
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].”
Nonoscillation and Oscillation Theory for Functional Differential Equations (2004, unknown): “[204] Wan-Tong Li and Samir H. Saker.”
Oscillation for Nonlinear Second Order Dynamic Equations on a Time Scale (2005, background): “In several papers ([ 4 ], [13]), (1.1) has been studied with p > 0 and assuming the nonlinearity has the property”
Some Oscillation Results for Second-Order Neutral Dynamic Equations (2012, background): “[1, 3–7, 9–16, 18, 19] and the references cited therein.”
Hardy inequality on time scales and its application to half-linear dynamic equations (2005, background): “Note that, for example, in [4, 10], oscillatory properties of the Euler type linear equation”
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].”