Results 1 to 10 of about 13,570,701 (304)
Asymptotic character of non-oscillatory solutions to functional differential system
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper the behaviour of solutions to systems of three functional differential equations is investigated. We are interested in the acquirement of conditions which ensure that certain of four possible non-oscillatory types holds.
Helena Šamajová +2 more
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Existence of non-oscillatory solutions to first-order neutral differential equations
Electronic Journal of Differential Equations, 2016 This article presents sufficient conditions for the existence of non-oscillatory solutions to first-order differential equations having both delay and advance terms, known as mixed equations. Our main tool is the Banach contraction principle.
Tuncay Candan
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Symmetry, 2022 The main purpose of this research was to use the comparison approach with a first-order equation to derive criteria for non-oscillatory solutions of fourth-order nonlinear neutral differential equations with p Laplacian operators. We obtained new results for the behavior of solutions to these equations, and we showed their symmetric and non-oscillatory
Khalil S Al-Ghafri +2 more
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Journal of Advanced Research, 2016 In this paper, certain system of linear homogeneous differential equations of second-order is considered. By using integral inequalities, some new criteria for bounded and [Formula: see text]-solutions, upper bounds for values of improper integrals of the solutions and their derivatives are established to the considered system.
Cemil Tunç, Osman Tunc
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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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Behavior of Non-Oscillatory Solutions of Fourth-Order Neutral Differential Equations [PDF]
Symmetry, 2020 In this paper, we deal with the asymptotics and oscillation of the solutions of fourth-order neutral differential equations of the form r t z ‴ t α ′ + q t x α g t = 0 , where z t : = x t + p t x δ t . By using a generalized Riccati transformation, we study asymptotic behavior and derive some new oscillation criteria.
Osama Moaaz +2 more
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Oscillation of solutions to non-linear difference equations with several advanced arguments [PDF]
Opuscula Mathematica, 2017 This work concerns the oscillation and asymptotic properties of solutions to the non-linear difference equation with advanced arguments \[x_{n+1}- x_n =\sum_{i=1}^m f_{i,n}( x_{n+h_{i,n}}).\] We establish sufficient conditions for the existence of ...
Sandra Pinelas, Julio G. Dix
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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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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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Mathematics, 2021 This is the first on a series of articles that deal with nonlinear dynamical systems under oscillatory input that may exhibit harmonic and non-harmonic frequencies and possibly complex behavior in the form of chaos.
Elena Hernandez +3 more
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