Results 1 to 10 of about 70 (69)
Neutral Operator and Neutral Differential Equation [PDF]
Abstract and Applied Analysis, 2011 In this paper, we discuss the properties of the neutral operator (Ax)(t) = x(t) − cx(t − δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of (positive) periodic solutions to two kinds of second‐order differential equations with the prescribed
Jingli Ren, Zhibo Cheng, Stefan Siegmund
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Neutral set differential equations [PDF]
Czechoslovak Mathematical Journal, 2015 The aim of this paper is to establish an existence and uniqueness result for a class of the set functional differential equations of neutral type {DHX(t)= F(t,Xt,DHXt), where F: [0, b] x Co x 4-) K(E) is a given function, K(E) is the family of all nonempty compact and convex subsets of a separable Banach space E, Co denotes the space of all continuous ...
Abbas, Umber +3 more
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Conditions for Oscillation of a Neutral Differential Equation [PDF]
International Journal of Differential Equations, 2010 For a neutral differential equation with positive and changeable sign coefficients [x(t)−a(t)x(δ(t))]′ + p(t)F(x(τ(t))) − q(t)G(x(σ(t))) = 0, oscillation criteria are established, where q(t) is not required as nonnegative. Several new results are obtained.
Yan, Weiping, Yan, Jurang
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Oscilations of higher-order neutral equations [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1986 AbstractSufficient conditions are given for the occurrence of various types of asymptotic behaviour in the solution of a class of n th order neutral delay differential equations. The conditions are in the form of certain inequalities amongst the constants involved in the definition of the differential equations, and specify either oscillatory behavior,
Ladas, G., Sficas, Y. G.
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On the oscillation of neutral differential equations
Journal of Mathematical Analysis and Applications, 1992 Using the method of the Laplace transform it is shown that all solutions of the neutral differential equation \[ {d\over dt}\left[x(t)+\delta\int^{\tau_ 2}_{\tau_ 1}x(t+s)d\mu(s)\right]+\int^{\sigma_ 2}_ {\sigma_ 1}x(t+s)d\eta(s)=0 \] are oscillatory if and only if the characteristic equation \[ \lambda\left[1+\delta\int^{\tau_ 2}_{\tau_ 1}e^{\lambda s}
Philos, C. G., Sficas, Y. G.
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Neutral Equations and Associated Semigroups
Journal of Differential Equations, 1995 Semigroup representations of hereditary functional equations are studied. In particular, the results deal with the neutral functional equation \({d\over dt} D_ t x= Lx_ t+ f(t)\), where \(L\in \beta(C([-1, 0], \mathbb{R}^ n))\) and \(D\) denotes Hale's operator.
Tadmor, G., Turi, J.
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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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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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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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