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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

Moore-type nonoscillation criteria for half-linear difference equations

Monatshefte für Mathematik (Print), 2021
Fentao Wu, Lin She, Kazuki Ishibashi
semanticscholar   +1 more source

Two-Term Perturbations in Half-Linear Oscillation Theory

2013
We consider the nonoscillatory half-linear differential equation $$\displaystyle{(r(t){\it\Phi} (x^\prime))^\prime + c(t){\it\Phi} (x) = 0,\quad {\it\Phi} (x):= \vert x{\vert }^{p-2}x,\ p > 1,}$$ and we study the influence of the perturbation terms \(\tilde{r},\tilde{c}\) on oscillatory properties of the equation $$\displaystyle{[(r(t ...
Ondřej Došlý, Simona Fišnarová
openaire   +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
openaire   +1 more source

New oscillation criteria for second-order half-linear advanced differential equations

Applied Mathematics and Computation, 2019
G. Chatzarakis   +2 more
semanticscholar   +1 more source

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