Results 41 to 50 of about 337,037 (167)
Solutions of the neutral differential-difference equation αx′(t)+βx′(t−r)+γx(t)+δx(t−r)=f(t)
International Journal of Mathematics and Mathematical Sciences, 1992 Particular solutions and complementary functions are obtained for the functional equation αx′(t)+βx′(t−r)+γx(t)+δx(t−r)=f(t) in the forms of a convolution type integral and of infinite series.
Ll. G. Chambers
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Applied Mathematics in Science and Engineering, 2023 This article is dedicated to the oscillatory properties of a second order Emden-Fowler delay differential equation with a sublinear neutral term. The presented criteria extend and improve several well-known results reported recently in the literature ...
Yingzhu Wu +3 more
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Singularity Expansion for a Class of Neutral Equations
Journal of Integral Equations and Applications, 2007 The authors study the structure of the solutions for a class of singular neutral equations arising from aerofoil model problem. The analysis is based on converting the neutral equation problem to Volterra integral equation of the second kind. It is shown that the solutions of the neutral equation can be decomposed into two parts, with one part being a ...
Cao, Yanzhao +3 more
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Impulsive partial neutral differential equations
Applied Mathematics Letters, 2006 The authors establish conditions for the existence of mild and strong solutions of a partial neutral functional-differential equation with unbounded delay of the form \[ (d/dt)(x(t)+F(t, x_t)) = Ax(t)+G(t, x_t) \] subject to pre-assigned moments of impulse effects.
Eduardo Hernández Morales +1 more
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On a Quasi‐Neutral Approximation to the Incompressible Euler Equations [PDF]
Journal of Applied Mathematics, 2012 We rigorously justify a singular Euler‐Poisson approximation of the incompressible Euler equations in the quasi‐neutral regime for plasma physics. Using the modulated energy estimates, the rate convergence of Euler‐Poisson systems to the incompressible Euler equations is obtained.
Jianwei Yang, Zhitao Zhuang
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Exponential stability of solutions to nonlinear time-delay systems of neutral type
Electronic Journal of Differential Equations, 2016 We consider a nonlinear time-delay system of neutral equations with constant coefficients in the linear terms $$ \frac{d}{dt}\big(y(t) + D y(t-\tau)\big) = A y(t) + B y(t-\tau) + F(t, y(t), y(t-\tau)), $$ where $$ \|F(t,u,v)\| \le q_1\|u\|^{1 ...
Gennadii V. Demidenko +1 more
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Asymptotic stability of a neutral integro-differential equation [PDF]
Opuscula Mathematica, 2006 The global stability behavior of a non-autonomous neutral functional integro-differential equation is studied. A sufficient condition for every solution of this equation to tend to zero is given.
Gen-qiang Wang, Sui Sun Cheng
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Comparison theorems for third-order neutral differential equations
Electronic Journal of Differential Equations, 2016 We establish comparison theorems for the oscillation of solutions to third-order neutral differential equations via linear ordinary and delay differential equations.
Zuzana Dosla, Petr Liska
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On the oscillation of certain mixed neutral equations
Applied Mathematics Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tuncay Candan, Rajbir S. Dahiya
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The semicycles of solutions of neutral difference equations
Applied Mathematics Letters, 2000 The authors study the semicycles of solutions to the neutral delay difference equation \[ \Delta(y_n+ p_ny_{n-\tau}) +q_ny_{n-\sigma} =0. \] Here \(\{p_n\}\) and \(\{q_n\}\) are sequences of nonnegative real numbers, \(\tau\) and \(\sigma\) are positive integers. Upper bounds on the number of terms of semicycles are determined.
Yong Zhou 0005, B. G. Zhang
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