Results 1 to 10 of about 26,698 (263)
On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order. [PDF]
J Adv Res, 2016 Tunç C, Tunç O.
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Oscillatory and non-oscillatory criteria for linear four-dimensional Hamiltonian systems [PDF]
Mathematica Bohemica, 2021 The Riccati equation method is used to study the oscillatory and non-oscillatory behavior of solutions of linear four-dimensional Hamiltonian systems. One oscillatory and three non-oscillatory criteria are proved.
Gevorg A. Grigorian
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Oscillatory solutions of Emden-Fowler type differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The paper deals with the coexistence between the oscillatory dynamics and the nonoscillatory one for a generalized super-linear Emden–Fowler differential equation.
Miroslav Bartusek +2 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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Existence of positive solutions of linear delay difference equations with continuous time
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Consider the delay difference equation with continuous time of the form \[x(t)-x(t-1)+\sum_{i=1}^mP_i(t)x(t-k_i(t))=0,\qquad t\ge t_0,\] where $P_i\colon[t_0,\infty)\mapsto\mathbb{R}$, $k_i\colon[t_0,\infty)\mapsto \{2,3,4,\dots\}$ and $\lim_{t\to\infty}(
George Chatzarakis +3 more
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Improved Conditions for Oscillation of Functional Nonlinear Differential Equations
Mathematics, 2020 The aim of this work is to study oscillatory properties of a class of fourth-order delay differential equations. New oscillation criteria are obtained by using generalized Riccati transformations.
Omar Bazighifan, Mihai Postolache
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Journal of Applied Mathematics, 2014 This paper is focused on studying approximate damped oscillatory solutions of the compound KdV-Burgers-type equation with nonlinear terms of any order.
Yan Zhao, Weiguo Zhang
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New oscillation theorems for a class of even-order neutral delay differential equations
Advances in Difference Equations, 2021 In this work, we study the oscillatory behavior of even-order neutral delay differential equations υ n ( l ) + b ( l ) u ( η ( l ) ) = 0 $\upsilon ^{n}(l)+b(l)u(\eta (l))=0$ , where l ≥ l 0 $l\geq l_{0}$ , n ≥ 4 $n\geq 4$ is an even integer and υ = u + a
Mona Anis, Osama Moaaz
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 This paper examines the oscillatory behavior of solutions to a class of third-order differential equations with bounded and unbounded neutral coefficients. Sufficient conditions for all solutions to be oscillatory are given.
Ercan Tunç +3 more
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Even-order differential equation with continuous delay: nonexistence criteria of Kneser solutions
Advances in Difference Equations, 2021 In this paper, we study even-order DEs where we deduce new conditions for nonexistence Kneser solutions for this type of DEs. Based on the nonexistence criteria of Kneser solutions, we establish the criteria for oscillation that take into account the ...
Ali Muhib +2 more
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