Results 11 to 20 of about 168,051 (190)
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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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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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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Oscillatory Solutions for Certain Delay-Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1988 The existence of oscillatory solutions for a certain class of scalar first order delay-differential equations is proved. An application to a delay logistic equation arising in certain models for population variation of a single specie in a constant environment with limited resources for growth is considered.
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Oscillatory Solutions of Singular Equations Arising in Hydrodynamics [PDF]
Advances in Difference Equations, 2010 Motivated by the recent papers of the first two authors [Math. Comput. Modelling 51, No.~5--6, 658--669 (2010; Zbl 1190.34029), and Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No.~3--4 (A), 2114--2118 (2010; Zbl 1186.34014)], the initial value problem for the second order nonlinear differential equation \[ (p(t)u')'=p(t)f(u),\quad
Rachůnková, Irena +2 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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Forced oscillation and asymptotic behavior of solutions of linear differential equations of second order [PDF]
Opuscula Mathematica, 2022 The paper deals with the second order nonhomogeneous linear differential equation \[(p(t) y'(t))' + q(t) y(t) = f(t),\] which is oscillatory under the assumption that \(p(t)\) and \(q(t)\) are positive, continuously differentiable and monotone functions ...
Yutaka Shoukaku
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Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries [PDF]
, 2018 In this work we study the behavior of a family of solutions of a semilinear elliptic equation, with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating thin region with reaction terms concentrated in a neighborhood of the ...
Arrieta, José M. +2 more
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Asymptotic and Oscillatory Properties of Noncanonical Delay Differential Equations
Fractal and Fractional, 2021 In this work, by establishing new asymptotic properties of non-oscillatory solutions of the even-order delay differential equation, we obtain new criteria for oscillation.
Osama Moaaz +2 more
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Long-Time Asymptotics of Perturbed Finite-Gap Korteweg-de Vries Solutions [PDF]
, 2012 We apply the method of nonlinear steepest descent to compute the long-time asymptotics of solutions of the Korteweg--de Vries equation which are decaying perturbations of a quasi-periodic finite-gap background solution.
A. B. d. Monvel +37 more
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