Results 41 to 50 of about 8,043,575 (337)
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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Applied Mathematics Letters, 2017 In this paper, the distance between adjacent zeros of oscillatory solutions for second order nonlinear neutral delay differential equations ( a ( t ) z ′ ( t ) ) ′ + q ( t ) f ( x ( t − σ ) ) = 0 , t ≥ t 0 , where z ( t ) = x ( t ) + p ( t ) x ( t − τ ...
Hui Li, Zhenlai Han, Shurong Sun
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On oscillatory solutions of differential inequalities [PDF]
Czechoslovak Mathematical Journal, 1992 Oscillation properties are proved for systems of differential inequalities of the type \(\alpha_ iy_ i'y_{i+1}>0\) for \(y_{i+1}\neq 0\), \(y_ i'=0\) if \(y_{i+1}=0\), \(i=1,\dots,n\) in an interval \((a,b ...
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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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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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Analytical and numerical stability analysis of Soret-driven convection in a horizontal porous layer [PDF]
, 2007 We present an analytical and numerical stability analysis of Soret-driven convection in a porous cavity saturated by a binary fluid. Both the mechanical equilibrium solution and the monocellular flow obtained for particular ranges of the physical ...
Mojtabi, Abdelkader +5 more
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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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Exact and approximate solutions of Riemann problems in non-linear elasticity [PDF]
, 2009 Eulerian shock-capturing schemes have advantages for modelling problems involving complex non-linear wave structures and large deformations in solid media.
Barton, Philip Trevor +3 more
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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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