Oscillatory Properties of Fourth-Order Advanced Differential Equations
Mathematics, 2023 This paper presents a study on the oscillatory behavior of solutions to fourth-order advanced differential equations involving p-Laplacian-like operator.
Alanoud Almutairi +3 more
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Riccati Technique and Asymptotic Behavior of Fourth-Order Advanced Differential Equations
Mathematics, 2020 In this paper, we deal with the oscillation of fourth-order nonlinear advanced differential equations of the form r t y ‴ t α ′ + p t f y ‴ t + q t g y σ t = 0 .
Omar Bazighifan, Ioannis Dassios
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New Oscillation Criteria for Advanced Differential Equations of Fourth Order
Mathematics, 2020 The main objective of this paper is to establish new oscillation results of solutions to a class of fourth-order advanced differential equations with delayed arguments.
Omar Bazighifan +2 more
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Oscillation of Third-Order Differential Equations with Advanced Arguments
Mathematics, 2023 The main objective of this work was to study some oscillatory and asymptotic properties of a new class of advanced neutral differential equations. Using new relations to link the solution and its corresponding function, we introduced new oscillatory ...
Munirah Aldiaiji +4 more
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Oscillation for advanced differential equations with oscillating coefficients [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 Some sufficient conditions are established for the oscillation of all solutions of the advanced differential equation x′(t)−p(t)x(t+τ)=0, t≥t0, where the coefficient p(t)∈C([t0,∞),R) is oscillatory, and τ is a positive constant.
Xianyi Li, Deming Zhu, Hanqing Wang
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Advanced differential equations with piecewise constant argument deviations
International Journal of Mathematics and Mathematical Sciences, 1983 Functional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems ...
S. M. Shah, Joseph Wiener
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Oscillation Criteria for Advanced Half-Linear Differential Equations of Second Order
Mathematics, 2023 In this paper, we find new oscillation criteria for second-order advanced functional half-linear differential equations. Our results extend and improve recent criteria for the same equations established previously by several authors and cover the ...
Taher S. Hassan +2 more
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On Nonoscillation of Advanced Differential Equations with Several Terms
Abstract and Applied Analysis, 2011 Existence of positive solutions for advanced equations with several terms x˙(t)+∑k=1mak(t)x(hk(t))=0, hk(t)≥t is investigated in the following three cases: (a) all coefficients ak are positive; (b) all coefficients ak are negative; (c) there is an equal
L. Berezansky, E. Braverman
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On the Asymptotic Behavior of Advanced Differential Equations with a Non-Canonical Operator
Applied Sciences, 2020 In this paper, we aim to study the oscillatory behavior of a class of even-order advanced differential equations with a non-canonical operator. In addition, we present results on the asymptotic behavior of this type of equations and provide an example ...
Omar Bazighifan, Ioannis Dassios
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On oscillation of higher-order advanced trinomial differential equations
Advances in Difference Equations, 2021 We study the oscillatory property of the higher-order trinomial differential equation with advanced effects x ( n ) ( t ) + p ( t ) x ′ ( t ) + q ( t ) x ( σ ( t ) ) = 0 , σ ( t ) ≥ t . $$ x^{(n)}(t)+p(t)x'(t)+q(t)x \bigl(\sigma (t) \bigr)=0,\quad \sigma
Demou Luo
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