Results 91 to 100 of about 45,401 (204)
Oscillation and nonoscillation of neutral differential equations with positive and negative coefficients [PDF]
, 2004 summary:In this paper, oscillattion and nonoscillation criteria are established for neutral differential equations with positive and negative coefficients.
Shen, Jianhua, Luo, Zhiguo
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Oscillations of Higher Order Neutral Differential Equations
Rocky Mountain Journal of Mathematics, 1995 Consider linear neutral differential equations of odd order in the form \[ [x(t)- P(t) x(t-\tau)]^{(n)}+ Q(t) x(t-\sigma(t))= 0,\tag{1} \] where \(n\geq 1\), \(\tau> 0\), \(P\), \(Q\), \(\sigma\in C([t_0, \infty),\mathbb{R}^+)\) and \(\lim_{t\to \infty} (t- \sigma(t))= \infty\).
Zhang, B.G., Yu, J.S., Wang, Z.C.
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Oscillation of odd order neutral differential equations [PDF]
, 1988 In this paper we are dealing with first-order differential equations and inequalities with a deviating argument and we give some new necessary, sufficient, and necessary and sufficient conditions concerning: (a) the comparison of oscillatory and ...
Grammatikopoulos, M.K. +6 more
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, 2023 This work aims to derive new inequalities that improve the asymptotic and oscillatory properties of solutions to fourth-order neutral differential equations.
Barakah Almarri +2 more
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Discrete Dynamics in Nature and Society, 2013 Combining the exponential dichotomy of evolution family, composition theorems for almost automorphic functions with Banach fixed point theorem, we establish new existence and uniqueness theorems for almost automorphic mild solutions to neutral parabolic ...
Zhanrong Hu, Zhen Jin
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On Unstable Neutral Differential Equations of the Second Order [PDF]
Czechoslovak Mathematical Journal, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractal and FractionalThis study examines the impact of the Kahramanmaraş Earthquake on four key sectors of Borsa Istanbul: Basic Metal, Insurance, Non-Metallic Mineral Products, and Wholesale and Retail Trade using neutral delayed fractional differential equations. Employing
Ömer Akgüller +4 more
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On Neutral Functional–Differential Equations with Proportional Delays
Journal of Mathematical Analysis and Applications, 1997 The paper deals with the well-posedness of the initial value problem for the neutral functional-differential equation \[ y'(t)= ay(t)+ \sum_{i=1}^\infty b_iy(q_it)+ \sum_{i=1}^\infty cy'(p_it), \qquad t>0, \quad y(0)=y_0 \] and the asymptotic behaviour of its solutions.
Iserles, Arieh, Liu, Yunkang
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Approximation of neutral delay-differential equations [PDF]
, 2017 [Mathematical notation cannot be correctly represented here; please see PDF below for full equations.] We study questions related to stability and approximation of the system of linear neutral delay differential equations [equation] with appropriate ...
Payne, Catherine Ann +1 more
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Existence of nonoscillatory and oscillatory solutions of neutral differential equations with positive and negative coefficients [PDF]
, 1999 summary:In this paper, we study the existence of oscillatory and nonoscillatory solutions of neutral differential equations of the form \(x(t)-cx(t-r)\)'\pm\(P(t)x(t-\theta)-Q(t)x(t-\delta)\)=0 where $c>0$, $r>0$, $\theta>\delta\geq0$ are constants, and $
Graef, John R., Yang, Bo, Zhang, B. G.
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