Results 21 to 30 of about 26,698 (263)
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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New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order
Mathematics, 2020 Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this ...
Osama Moaaz, Dumitru Baleanu, Ali Muhib
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On the growth of solutions in the oscillatory case [PDF]
Proceedings of the American Mathematical Society, 1975 Suppose that A A is a bounded continuously differentiable function from
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Asymptotic behavior of oscillatory solutions
Hiroshima Mathematical Journal, 1988 The aim in this paper is to study the asymptotic behavior of the oscillatory solutions of certain delay differential equations of the form \[ (1)\quad x'(t)+p(t)x(t-\tau)+q(t)x(t-\sigma)=0,\quad t\geq t_ 0 \] and of certain neutral equations of the form \[ (2)\quad (d/dt)[x(t)- px(t-\tau)]+q(t)x(t-\sigma)=0,\quad t\geq t_ 0.
Ladas, G., Sficas, Y. G.
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Mathematical Modelling and Analysis, 2021 This work is aimed at studying some comparison and oscillation properties of boundary value problems (BVP’s) of a new type, which differ from classical problems in that they are defined on two disjoint intervals and include additional transfer conditions
Oktay Sh. Mukhtarov, Kadriye Aydemir
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Dynamics for Nonlinear Difference Equation xn+1=(αxn−k)/(β+γxn−lp)
Advances in Difference Equations, 2009 We mainly study the global behavior of the nonlinear difference equation in the title, that is, the global asymptotical stability of zero equilibrium, the existence of unbounded solutions, the existence of period two solutions, the existence of ...
Dongmei Chen, Xianyi Li, Yanqin Wang
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Some New Oscillation Criteria for Second Order Neutral Differential Equations with Delayed Arguments
Mathematics, 2019 In this paper, we study the oscillation of second-order neutral differential equations with delayed arguments. Some new oscillatory criteria are obtained by a Riccati transformation. To illustrate the importance of the results, one example is also given.
Omar Bazighifan, Clemente Cesarano
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Abstract and Applied Analysis, 2011 We focus on studying approximate solutions of damped oscillatory solutions of generalized KdV-Burgers equation and their error estimates. The theory of planar dynamical systems is employed to make qualitative analysis to the dynamical systems which ...
Weiguo Zhang, Xiang Li
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Electronic Journal of Qualitative Theory of Differential Equations, 2013 Monotonicity of solutions is an important property in the investigation of oscillatory behaviors of differential equations. A number of papers provide some existence criteria for eventually positive increasing solutions.
Shao-Yuan Huang, Sui Sun Cheng
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Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales
Mathematics, 2019 In this paper, we make a detailed analysis of the structure of non-oscillatory solutions for second order superlinear and sublinear dynamic equations on time scales.
Yong Zhou, Bashir Ahmad, Ahmed Alsaedi
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