Results 71 to 80 of about 164,877 (270)
On solutions of differential-functional equations of neutral type
Karpatsʹkì Matematičnì Publìkacìï, 2011 We obtain sufficient conditions for existence of continuouslydifferentiable solutions of differential-functional equations ofneutral type with linear deviations of the argument bounded on$tinmathbb{R}^-$.
R. I. Kachurivsky
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A k-Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay
Abstract and Applied Analysis, 2014 In 2010, Agarwal et al. studied the existence of a one-dimensional fractional neutral functional differential equation. In this paper, we study an initial value problem for a class of k-dimensional systems of fractional neutral functional differential ...
Dumitru Baleanu +2 more
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Oscillations in Neutral Functional Differential Equations [PDF]
, 2010 Some time ago [1], the author announced a result on the Fredholm alternative for the existence of periodic solutions of a non-homogeneous linear neutral functional differential equation (NFDE). In this paper, we indicate a proof of this result and, at the same time, use the method of proof to give a brief survey of some recent developments in the ...
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On a class of abstract neutral functional differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2011 Abstract By using the theory of semigroups of growth α , we discuss the existence of mild solutions for a class of abstract neutral functional differential equations. A concrete application to partial neutral functional differential equations is considered.
Hernandez, Eduardo +2 more
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Oscillation for Certain Nonlinear Neutral Partial Differential Equations
International Journal of Differential Equations, 2010 We present some new oscillation criteria for second-order neutral partial functional differential equations of the form (∂/∂t){p(t)(∂/∂t)[u(x,t)+∑i=1lλi(t)u(x,t-τi)]}=a(t)Δu(x,t)+∑k=1sak(t)Δu(x,t-ρk(t))-q(x,t)f(u(x,t))-∑j=1mqj(x,t)fj(u(x,t-σj)), (x,t)∈Ω ...
Quanwen Lin, Rongkun Zhuang
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About nondecreasing solutions for first order neutral functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Conditions that solutions of the first order neutral functional differential equation \[ (Mx)(t)\equiv x^{\prime }(t)-(Sx^{\prime })(t)-(Ax)(t)+(Bx)(t)=f(t), t\in \lbrack 0,\omega ], \] are nondecreasing are obtained.
Alexander Domoshnitsky +2 more
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On neutral functional differential equations with nonatomic difference operator
Journal of Mathematical Analysis and Applications, 1986 A simple prototype of the neutral functional differential equation is considered: \((d/dt)x_ t=Lx_ t+f(t),\) \(t\geq 0\), that is, (1) \(Dx_ t=\eta\), \(t\geq 0\), \(x_ 0=\phi\) is considered, where \(D\phi =\int^{0}_{-r}[d\mu (\theta)]\phi (\theta)\), \(\phi\in C(-r,0)\) or \(\phi \in L^ p\), \(\mu\) is a function of bounded variation on [-r,0] such ...
Franz Kappel, Kang Pei Zhang
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Weighted pseudo periodic solutions of neutral functional differential equations
Electronic Journal of Differential Equations, 2014 In this article, we introduced and explore the properties of two sets of functions: weighted pseudo periodic functions of class r, and weighted Stepanov-like pseudo periodic functions of class r. We show the existence and uniqueness of weighted pseudo
Zhinan Xia
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Periodic Solutions of Functional Differential Equations of Neutral Type
Journal of Mathematical Analysis and Applications, 1996 The paper deals with neutral functional differential equations of the form \[ d/dt\left[x(t)-G(t,x_t)\right] =F(t,x_t),\tag{1} \] where \(F\) and \(G\) are continuous and \(T\) periodic in \(t\). Moreover for all \(r>0\) there exists a real function \(W\) defined on \(\mathbb{R}^+\), \(\lim_{b\to 0^+}W(b)=0\), such that \(|G(t,x_t)-G(s,x_s)|\leq W|t-s|\
Babram, M. Ait +2 more
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Асимптотика детермінованих диференціально-різницевих рівнянь нейтрального типу [PDF]
, 2011 Одержано критерій асимптотичної поведінки для детермінованих диференціально-різницевих рівнянь нейтрального типу. Даний метод грунтується на необхідних та достатніх умовах і не використовує додаткових конструкцій (наприклад, функціонал Ляпунова ...
Малик, І.В.
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