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
doaj +3 more sources
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,…, $$ \Delta x(n)+p(n)f \bigl( x \bigl( \tau (n) \bigr) \bigr)
Özkan Öcalan +2 more
doaj +2 more sources
Differential equations with several non-monotone arguments: An oscillation result
Applied Mathematics Letters, 2017 First-order linear differential equations with multiple non-monotone delay arguments are studied. A new oscillation criterion is derived using the monotonicity analysis. An example is given to illustrate the result.
G E Chatzarakis
exaly +3 more sources
Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments
International Journal of Analysis and Applications, 2017 Consider the first-order nonlinear retarded differential equation $$ 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
doaj +5 more sources
An oscillation criterion for delay differential equations with several non-monotone arguments
Applied Mathematics Letters, 2016 8 ...
G E Chatzarakis, I P Stavroulakis
exaly +3 more sources
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
doaj +1 more source
Oscillation criteria for linear difference equations with several variable delays [PDF]
Opuscula Mathematica, 2021 We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by ...
Vasileios Benekas +3 more
doaj +1 more source
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
Chatzarakis, George E. +2 more
openaire +1 more source
Examining the modelling capabilities of defeasible argumentation and non-monotonic fuzzy reasoning [PDF]
Knowledge-Based Systems, 2021 Knowledge-representation and reasoning methods have been extensively researched within Artificial Intelligence. Among these, argumentation has emerged as an ideal paradigm for inference under uncertainty with conflicting knowledge. Its value has been predominantly demonstrated via analyses of the topological structure of graphs of arguments and its ...
Luca Longo +2 more
openaire +2 more sources
Oscillation of deviating differential equations [PDF]
Mathematica Bohemica, 2020 Consider the first-order linear delay (advanced) differential equation x'(t)+p(t)x( \tau(t)) =0\quad(x'(t)-q(t)x(\sigma(t)) =0),\quad t\geq t_0, where $p$ $(q)$ is a continuous function of nonnegative real numbers and the argument $\tau(t)$ $(\sigma(
George E. Chatzarakis
doaj +1 more source