Paper Info
Title
Applications of Opial inequalities on time scales on dynamic equations with damping terms.
Abstract
In this paper, we will employ some dynamic inequalities of Opial’s type on time scales to prove several results related to the spacing between consecutive zeros of a solution of a second order dynamic equation with a damping term. We also obtain several results related to the spacing between a zero of the solution and/or a zero of its derivative. As a special case, we will establish some new results for differential and difference equations with damping terms. For illustration, we will derive some well-known results obtained for differential equations without damping terms. The results yield conditions for disfocality and disconjugacy for dynamic equations with damping terms on time scales.
Year
DOI
Venue
2013
10.1016/j.mcm.2013.04.006
Mathematical and Computer Modelling
Keywords
Field
DocType
Opial’s inequality,Disfocality,Disconjugacy,Oscillation,Dynamic equations,Time scales
Differential equation,Dynamic equation,Oscillation,Mathematical optimization,Mathematical analysis,Mathematics,Special case
Journal
Volume
Issue
ISSN
58
11
0895-7177
Citations 
PageRank 
References 
0
0.34
2
Authors
1
Name
Order
Citations
PageRank
S. H. Saker14419.32