Disconjugacy and Higher Order Dynamic Equations

P Eloe - Advances in Dynamic Equations on Time Scales, 2003 - Springer
In this chapter, we introduce the study of disconjugacy of n th order dynamic equations on
time scales. Disconjugacy of ordinary differential equations is thoroughly studied and has a …

Oscillation criteria for second-order nonlinear neutral delay dynamic equations

RP Agarwal, D O'Regan, SH Saker - Journal of Mathematical Analysis and …, 2004 - Elsevier
In this paper we will establish some oscillation criteria for the second-order nonlinear neutral
delay dynamic equation on a time scale T; here γ> 0 is a quotient of odd positive integers …

[HTML][HTML] Oscillation of second-order nonlinear neutral delay dynamic equations on time scales

SH Saker - Journal of Computational and Applied Mathematics, 2006 - Elsevier
In this paper, some sufficient conditions for oscillation of the second-order nonlinear neutral
delay dynamic equation on a time scale T are established; here γ⩾ 1 is an odd positive …

[HTML][HTML] Oscillation criteria of second-order half-linear dynamic equations on time scales

SH Saker - Journal of Computational and Applied Mathematics, 2005 - Elsevier
In this paper, by using the Riccati transformation technique, chain rule and inequalitywhere
A and B are positive constants, we will establish some oscillation criteria for the second …

[HTML][HTML] Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales

L Erbe, A Peterson, SH Saker - Journal of Computational and Applied …, 2005 - Elsevier
Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales
- ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

[PDF][PDF] Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations

E Akin, SH Saker, M Bohner - 2007 - scholarsmine.mst.edu
By means of Riccati transformation techniques we establish some oscillation criteria for the
second order Emden-Fowler dynamic equation on a time scale. Such equations contain the …

Oscillation criteria for a class of second-order Emden–Fowler delay dynamic equations on time scales

Z Han, S Sun, B Shi - Journal of Mathematical Analysis and Applications, 2007 - Elsevier
By means of Riccati transformation technique, we establish some new oscillation criteria for
the second-order Emden–Fowler delay dynamic equations on a time scale T; here γ is a …

Oscillation of second-order damped dynamic equations on time scales

SH Saker, RP Agarwal, D O'Regan - Journal of Mathematical Analysis and …, 2007 - Elsevier
The study of dynamic equations on time scales has been created in order to unify the study
of differential and difference equations. The general idea is to prove a result for a dynamic …

On highly efficient fractional numerical method for solving nonlinear engineering models

M Shams, B Carpentieri - Mathematics, 2023 - mdpi.com
We proposed and analyzed the fractional simultaneous technique for approximating all the
roots of nonlinear equations in this research study. The newly developed fractional Caputo …

Oscillation results for second-order nonlinear neutral delay dynamic equations on time scales

SH Saker, RP Agarwal, D O'regan - Applicable Analysis, 2007 - Taylor & Francis
In this article, we consider the second-order nonlinear neutral delay dynamic equation on a
time scale and establish some new oscillation and nonoscillation criteria. Also from these we …