Forced oscillation of second order differential equations with mixed nonlinearities

TS Hassan, L Erbe, A Peterson - Acta Mathematica Scientia, 2011 - Elsevier
This article is concerned with the oscillation of the forced second order differential equation
with mixed nonlinearities where γ is a quotient of odd positive integers, αi> 0, i= 1, 2,…, n, a …

Oscillation of even order nonlinear delay dynamic equations on time scales

L Erbe, R Mert, A Peterson, A Zafer - Czechoslovak Mathematical Journal, 2013 - Springer
One of the important methods for studying the oscillation of higher order differential
equations is to make a comparison with second order differential equations. The method …

Oscillation criteria for second order sublinear dynamic equations with damping term

TS Hassan, L Erbe, A Peterson - Journal of Difference Equations …, 2011 - Taylor & Francis
Full article: Oscillation criteria for second order sublinear dynamic equations with damping term
Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …

Second-order oscillation of forced functional differential equations with oscillatory potentials

AF Güvenilir, A Zafer - Computers & Mathematics with Applications, 2006 - Elsevier
New oscillation criteria are established for second-order differential equations containing
both delay and advanced arguments of the form, where α≥ 1 and β≥ 1; k, p, q, e, τ, σ are …

[HTML][HTML] Nonlinear oscillation of second-order dynamic equations on time scales

DR Anderson, A Zafer - Applied Mathematics Letters, 2009 - Elsevier
Interval oscillation criteria are established for a second-order nonlinear dynamic equation on
time scales by utilizing a generalized Riccati technique and the Young inequality. The theory …

Oscillation of second-order forced functional dynamic equations with oscillatory potentials

DR Anderson - Journal of Difference Equations and Applications, 2007 - Taylor & Francis
Oscillation criteria are established for a second-order forced dynamic equation on time
scales containing both delay and advance arguments. Moreover, the potentials are allowed …

Interval oscillation criteria for second order super‐half linear functional differential equations with delay and advanced arguments

A Zafer - Mathematische Nachrichten, 2009 - Wiley Online Library
Sufficient conditions are established for oscillation of second order super half linear
equations containing both delay and advanced arguments of the form where ϕδ (u)=| u| δ …

[PDF][PDF] Forced oscillation of second-order nonlinear dynamic equations on time scales

T Li, Z Han, S Sun, C Zhang - Electronic Journal of Qualitative Theory …, 2009 - real.mtak.hu
In this paper, by defining a class of functions, we establish some oscillation criteria for the
second order nonlinear dynamic equations with forced term x∆∆(t)+ a (t) f (x (q (t)))= e (t) on a …

Interval criteria for oscillation of nonlinear second-order dynamic equations on time scales

DR Anderson - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
Interval oscillation criteria are established for a second-order nonlinear dynamic equation on
time scales by utilizing a generalized Riccati technique and an integral averaging technique …

Interval criteria for second-order super-half-linear functional dynamic equations with delay and advance arguments

DR Anderson, A Zafer - Journal of Difference Equations and …, 2010 - Taylor & Francis
Interval oscillation criteria are established for second-order forced super half-linear dynamic
equations on time scales containing both delay and advance arguments, where the …