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Oscillation of Second-Order Half-Linear Neutral Advanced Differential Equations

Communications on Applied Mathematics and Computation, 2020
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Shi, Shan, Han, Zhenlai
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Conjugacy of half-linear second-order differential equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000
Focal point and conjugacy criteria for the half-linear second-order differential equation are obtained using the generalized Riccati transformation. An oscillation criterion is given in case when the function c(t) is periodic.
Došlý, Ondřej, Elbert, Árpád
openaire   +2 more sources

Oscillation criteria for second-order half-linear delay differential equations with mixed neutral terms

Mathematica Slovaca, 2019
This article concerns the oscillatory behavior of solutions to second-order half-linear delay differential equations with mixed neutral terms. The authors present new oscillation criteria that improve, extend, and simplify existing ones in the literature.
S. Grace, J. Graef, I. Jadlovská
semanticscholar   +1 more source

Oscillation of Second Order Half-Linear Differential Equations with Damping

gmj, 2003
Abstract This paper is concerned with a class of second order half-linear damped differential equations. Using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which are either extensions of or complementary to a number of the existing results.
Yang, Qigui, Cheng, Sui Sun
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Non-oscillation criterion for Euler type half-linear difference equations with consequences in linear case

Acta Mathematica Hungarica, 2022
P. Hasil   +3 more
semanticscholar   +1 more source

Oscillation and Nonoscillation of Half-Linear Differential Equations

2002
In this chapter we shall present oscillation and nonoscillation criteria for second order half-linear differential equations. In recent years these equations have attracted considerable attention. This is largely due to the fact that half-linear differential equations occur in a variety of real world problems; moreover, these are the natural ...
Ravi P. Agarwal   +2 more
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Oscillation of linear and half-linear difference equations via modified Riccati transformation

Journal of Mathematical Analysis and Applications, 2023
J. Šišoláková
semanticscholar   +1 more source

A half-linear differential equation and variational problem

Nonlinear Analysis: Theory, Methods & Applications, 2001
The author investigates the variational problem with general boundary conditions whose corresponding Euler-Lagrange equation is the half-linear differential equation \[ (r(t)\Phi(y'))'+q(t)\Phi(y)=0, \] with \(\Phi(u)=|u|^{p-2}u\), \(p>1\) a constant, \(r,q\) real-valued continuous functions defined on a compact interval \(I=[a,b]\), and \(r(t)>0\) on \
openaire   +2 more sources

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