New criteria for sharp oscillation of second-order neutral delay differential equations

I Jadlovská - Mathematics, 2021 - mdpi.com
In this paper, new oscillation criteria for second-order half-linear neutral delay differential
equations are established, using a recently developed method of iteratively improved …

Oscillation of second-order nonlinear neutral dynamic equations on time scales

SY Zhang, QR Wang - Applied Mathematics and Computation, 2010 - Elsevier
This paper is concerned with the oscillation of second-order nonlinear neutral dynamic
equations of the formon a time scale T. By using a generalized Riccati technique and …

Oscillation of second-order nonlinear neutral dynamic equations with noncanonical operators

C Zhang, RP Agarwal, M Bohner, T Li - Bulletin of the Malaysian …, 2015 - Springer
The study of half-linear differential equations has become an important area of research due
to the fact that such equations occur in a variety of real-world problems such as in the study …

[PDF][PDF] Oscillation results for third order nonlinear delay dynamic equations on time scales

T Li, Z Han, S Sun, Y Zhao - Bull. Malays. Math. Sci. Soc, 2011 - emis.dsd.sztaki.hu
In this paper, we consider the third order nonlinear delay dynamic equations (a (t){[r (t)
x∆(t)]∆} γ)∆+ f (t, x (τ (t)))= 0, on a time scale T, where γ> 0 is a quotient of odd positive …

Oscillatory behavior of second-order half-linear damped dynamic equations

RP Agarwal, M Bohner, T Li - Applied Mathematics and Computation, 2015 - Elsevier
By refining the generalized Riccati transformation technique, we obtain new oscillation
criteria for a class of second-order half-linear delay dynamic equations with damping on a …

[PDF][PDF] Some oscillation results for second-order neutral dynamic equations

T Li, RP Agarwal, M Bohner - Hacettepe Journal of Mathematics and …, 2012 - dergipark.org.tr
This paper is concerned with the oscillation of certain second-order neutral dynamic
equations on a time scale. Four new oscillation criteria are presented that supplement those …

New oscillation criteria for second-order neutral functional dynamic equations via the generalized Riccati substitution

SH Saker, D O'Regan - … in Nonlinear Science and Numerical Simulation, 2011 - Elsevier
In this paper, we establish some new sufficient conditions for oscillation of the second-order
neutral functional dynamic equation on a time scale T, where| f (t, u)|⩾ q (t)| uγ|, r, p and q …

[PDF][PDF] Oscillatory behavior of quasilinear neutral delay dynamic equations on time scales

Z Han, S Sun, T Li, C Zhang - Advances in Difference Equations, 2010 - Springer
By means of the averaging technique and the generalized Riccati transformation technique,
we establish some oscillation criteria for the second-order quasilinear neutral delay dynamic …

[PDF][PDF] Oscillation criteria for third order nonlinear delay dynamic equations on time scales

Z Han, T Li, S Sun, F Cao - Ann. Polon. Math, 2010 - academia.edu
By means of Riccati transformation technique, we establish some new oscillation criteria for
third-order nonlinear delay dynamic equations ((x∆∆(t)) γ)∆+ p (t) xγ (τ (t))= 0 on a time scale …

[PDF][PDF] Oscillation for a class of second-order Emden-Fowler delay dynamic equations on time scales

S Sun, Z Han, P Zhao, C Zhang - Advances in Difference Equations, 2010 - Springer
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; here is a quotient …