Results 1 to 10 of about 196,377 (258)
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 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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Oscillation Tests for Linear Difference Equations with Non-Monotone Arguments [PDF]
Tatra Mountains Mathematical Publications, 2021 This paper presents sufficient conditions involving limsup for the oscillation of all solutions of linear difference equations with general deviating argument of the form Δx(n)+p(n)x(τ(n))=0, n∈ℕ0 [∇x(n)−q(n)x(σ(n))=0, n∈ℕ],\[\Delta x(n) + p(n)x(\tau (n))
G. Chatzarakis +2 more
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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
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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
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Improved iterative oscillation tests for first-order deviating differential equations [PDF]
Opuscula Mathematica, 2018 In this paper, improved oscillation conditions are established for the oscillation of all solutions of differential equations with non-monotone deviating arguments and nonnegative coefficients.
George E. Chatzarakis, Irena Jadlovská
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Oscillations of equations caused by several deviating arguments [PDF]
Opuscula Mathematica, 2019 Linear delay or advanced differential equations with variable coefficients and several not necessarily monotone arguments are considered, and some new oscillation criteria are given.
George E. Chatzarakis
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A proof that Reed-Muller codes achieve Shannon capacity on symmetric channels [PDF]
IEEE Annual Symposium on Foundations of Computer Science, 2023 In 1948, Shannon used a probabilistic argument to show that there exist codes achieving a maximal rate defined by the channel capacity. In 1954, Muller and Reed introduced a simple deterministic code construction, conjectured shortly after to achieve ...
E. Abbe, Colin Sandon
semanticscholar +1 more source
Advanced Nonlinear Studies, 2021 The concentration-compactness principle for the Trudinger–Moser-type inequality in the Euclidean space was established crucially relying on the Pólya–Szegő inequality which allows to adapt the symmetrization argument.
Li Jungang, Lu Guozhen, Zhu Maochun
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Oscillations in deviating difference equations using an iterative technique
Journal of Inequalities and Applications, 2017 The paper deals with the oscillation of the first-order linear difference equation with deviating argument and nonnegative coefficients. New sufficient oscillation conditions, involving limsup, are given, which essentially improve all known results ...
George E Chatzarakis, Irena Jadlovská
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