Results 1 to 10 of about 327,741 (146)
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 ...
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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Third order non-linear difference equation with neutral term [PDF]
E3S Web of Conferences, 2023 This paper aims to investigate the oscillatory characteristics of a neutral third order nonlinear difference equation. Utilizing the comparison principle, we get some new standards that guarantee that any solution to the neutral difference equation ...
Kaleeswari S., Rangasri S.
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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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Communications, 2013 In this paper we consider a neutral differential equation with "maxima" of the form [x(t) + p(t)x(σ(t))] + q(t) max x(s) = 0 We obtained sufficient conditions for oscillation of all the solutions when t→∞.
Zuzana Malacka
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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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Periodic Solution for a Kind of Third-Order Neutral-Type Differential Equation
Journal of Function Spaces, 2023 In this paper, we investigate a class of a third-order neutral-type differential equation with time-varying delays. Some sufficient conditions on the existence of a periodic solution are established for the considered system.
Axiu Shu, Bo Du
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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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Weighted Fractional Neutral Functional Differential Equations [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2018 Summary: In this paper, we consider a weighted neutral functional differential equation of fractional order ...
Abdo, Mohammed S., Panchal, Satish K.
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 We study the half-linear neutral differential equation \begin{equation*} \Bigl[r(t)\Phi(z'(t))\Bigr]'+c(t)\Phi(x(\sigma(t)))=0, \qquad z(t)=x(t)+b(t)x(\tau(t)), \end{equation*} where $\Phi(t)=|t|^{p-2}t$.
Simona Fišnarová
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