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Conjugacy of half-linear second-order differential equations
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000Focal 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
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Moore-type nonoscillation criteria for half-linear difference equations
Monatshefte für Mathematik (Print), 2021Fentao Wu, Lin She, Kazuki Ishibashi
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Oscillation of linear and half-linear differential equations via generalized Riccati technique
Revista Matemática Complutense, 2021P. Hasil, M. Veselý
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Two-Term Perturbations in Half-Linear Oscillation Theory
2013We 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
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Oscillation and Nonoscillation of Half-Linear Differential Equations
2002In 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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New oscillation criteria for second-order half-linear advanced differential equations
Applied Mathematics and Computation, 2019G. Chatzarakis +2 more
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Non-Oscillation of half-linear difference equations with asymptotically periodic coefficients
Acta Mathematica Hungarica, 2019P. Hasil, J. Juranek, M. Veselý
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