Results 21 to 30 of about 337,037 (167)
Asymptotic behaviour of neutral differential equations of third-order with negative term
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We derive new comparison theorems and oscillation criteria for neutral differential equations of third order with negative term. We show that one can deduce oscillation criteria for the equation with negative term from those for the equation with ...
Zuzana Dosla, Petr Liška
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Oscillations for Neutral Functional Differential Equations [PDF]
The Scientific World Journal, 2014 We will consider a class of neutral functional differential equations. Some infinite integral conditions for the oscillation of all solutions are derived. Our results extend and improve some of the previous results in the literature.
Fatima N. Ahmed +3 more
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An Asymptotic Result for neutral differential equations [PDF]
Applied Mathematics and Nonlinear Sciences, 2020 Abstract We obtain asymptotic result for the solutions of neutral differential equations. Our technique depends on characteristic equations.
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Electronic Journal of Differential Equations, 2020 We consider a class of nonlinear time-varying delay systems of neutral type differential equations with periodic coefficients in the linear terms, $$\begin{aligned} \frac{d}{dt} y(t) &= A(t) y(t) + B(t) y(t-\tau(t)) + C(t) \frac{d}{dt} y(t-\tau(t ...
Inessa I. Matveeva
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Oscillations in Neutral Equations with Periodic Coefficients [PDF]
Proceedings of the American Mathematical Society, 1991 We obtain a necessary and sufficient condition for the oscillation of all solutions of the neutral delay differential equation: (1) \[
Ladas, G., Philos, C. G., Sficas, Y. G.
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Oscillation of Fourth-Order Nonlinear Homogeneous Neutral Difference Equation
International Journal of Differential Equations, 2022 In this paper, we establish the solution of the fourth-order nonlinear homogeneous neutral functional difference equation. Moreover, we study the new oscillation criteria have been established which generalize some of the existing results of the fourth ...
G. Sumitha +4 more
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Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
Entropy, 2021 The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are
Ravi P. Agarwal +2 more
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Positive Periodic Solution for Neutral-Type Integral Differential Equation Arising in Epidemic Model
Mathematics, 2023 This paper is devoted to investigating a class of neutral-type integral differential equations arising in an epidemic model. By using Mawhin’s continuation theorem and the properties of neutral-type operators, we obtain the existence conditions for ...
Qing Yang +4 more
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On the Oscillations of Mixed Neutral Equations
Journal of Mathematical Analysis and Applications, 1995 The author considers neutral differential equations of odd order of the form \[ (x(t)+ cx(t- h)+ c^* x(t+ h^*))^{(n)}= qx(t- g)+ px(t+ g^*),\tag{1} \] where \(c\), \(c^*\), \(g\), \(g^*\), \(h\), \(h^*\), \(p\) and \(q\) are real constants. It is well-known that a necessary and sufficient condition for oscillation of all solutions of (1) is that the ...
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Nonoscillation of a class of neutral differential equations
Computers & Mathematics with Applications, 2002 This paper deals with \(n\)th-order neutral differential equations of the form \[ (x(t)-x(t-\tau))^{(n)}+p(t)x(t-\sigma)=0, \] where \(n\) is an odd number, \(\tau>0, \sigma\in \mathbb{R}\), \(p\in C([0, \infty), [0, \infty))\). The authors establish a complete classification of nonoscillatory solutions of the equation and find conditions for each type
Kong, Qingkai +2 more
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