Oscillation analysis for nonlinear difference equation with non-monotone arguments [PDF]
Advances in Difference Equations, 2018 The aim of this paper is to obtain some new oscillatory conditions for all solutions of nonlinear difference equation with non-monotone or non-decreasing argument Δx(n)+p(n)f(x(τ(n)))=0,n=0,1,…, $$ \Delta x(n)+p(n)f \bigl( x \bigl( \tau (n) \bigr) \bigr)
Özkan Öcalan +2 more
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Oscillations of differential equations with non-monotone deviating arguments [PDF]
Advances in Difference Equations, 2019 The oscillatory behavior of the solutions to a differential equation with several non-monotone arguments and nonnegative coefficients is studied, and some new oscillation criteria are given.
George E. Chatzarakis +2 more
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New oscillation conditions for first-order linear retarded difference equations with non-monotone arguments [PDF]
Opuscula Mathematica, 2022 In this paper, we study the oscillatory behavior of the solutions of a first-order difference equation with non-monotone retarded argument and nonnegative coefficients, based on an iterative procedure. We establish some oscillation criteria, involving \(\
Emad R. Attia +2 more
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Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments
International Journal of Analysis and Applications, 2017 Consider the first-order nonlinear retarded differential equation $$ x^{\prime }(t)+p(t)f\left( x\left( \tau (t)\right) \right) =0, t\geq t_{0} $$ where $p(t)$ and $\tau (t)$ are function of positive real numbers such that $%\tau (t)\leq t$ for$\ t\geq ...
Özkan Öcalan +3 more
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Oscillation Tests for Linear Difference Equations with Non-Monotone Arguments [PDF]
Tatra Mountains Mathematical Publications, 2021 Abstract This paper presents sufficient conditions involving limsup for the oscillation of all solutions of linear difference equations with general deviating argument of the form Δ
George E. Chatzarakis +2 more
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Oscillation criteria for difference equations with non-monotone arguments [PDF]
Advances in Difference Equations, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
George E. Chatzarakis, Leonid Shaikhet
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Oscillation of differential equations with non-monotone retarded arguments [PDF]
LMS Journal of Computation and Mathematics, 2015 This paper, which was published on 3 November 2015, has been withdrawn.
Özkan Öcalan
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Oscillation of differential equations with non-monotone retarded arguments [PDF]
LMS Journal of Computation and Mathematics, 2016 Consider the first-order retarded differential equation$$\begin{eqnarray}x^{\prime }(t)+p(t)x({\it\tau}(t))=0,\quad t\geqslant t_{0},\end{eqnarray}$$where$p(t)\geqslant 0$and${\it\tau}(t)$is a function of positive real numbers such that${\it\tau}(t)\leqslant t$for$t\geqslant t_{0}$, and$\lim _{t\rightarrow \infty }{\it\tau}(t)=\infty$.
George E. Chatzarakis, Özkan Öcalan
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An oscillation criterion for delay differential equations with several non-monotone arguments [PDF]
Applied Mathematics Letters, 2016 8 ...
H. Akça +2 more
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Iterative oscillation tests for difference equations with several non-monotone arguments [PDF]
Journal of Difference Equations and Applications, 2015 Sufficient oscillation conditions involving $\limsup $ and $\liminf $ for first-order differential equations with several non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Gr nwall inequality. Examples illustrating the significance of the results are also given.
Elena Braverman +2 more
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