Results 61 to 70 of about 164,877 (270)
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Some general conditions sufficient for unique solvability of the boundary-value problem for a system of linear functional differential equations of the second order are established.
Natalia Dilna
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Асимптотична поведінка в середньому квадратичному розв'язків систем стохастичних диференціально-функціональних рівнянь нейтрального типу [PDF]
, 2009 Одержано умови стiйкостi в середньому квадратичному систем лiнiйних стохастичних диференцiально-функцiональних рiвнянь нейтрального типу.The conditions of the stability in mean square are obtained for stochastic functional differential equations of the ...
Малик, І.В. +1 more
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Almost automorphic solutions of neutral functional differential equations
Electronic Journal of Differential Equations, 2010 In this article, we prove the existence and uniqueness of almost automorphic solutions to the non-autonomous evolution equation $$ frac{d}{dt}(u(t)-F_1(t,B_1u(t)))=A(t)(u(t)-F_1(t,Bu(t)))+F_2(t,u(t),B_2u(t)), quad tin mathbb{R} $$ where $A(t ...
Gisele M. Mophou, Gaston M. N'Guerekata
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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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Abstract and Applied Analysis, 2014 The modified generalized Laguerre-Gauss collocation (MGLC) method is applied to obtain an approximate solution of fractional neutral functional-differential equations with proportional delays on the half-line.
Ali H. Bhrawy +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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On the uniqueness of solutions of neutral functional differential equations
Journal of Mathematical Analysis and Applications, 1991 The paper deals with the uniqueness of solutions of NFDEs \((d/dt)D(t,x_ t)=f(t,x_ t)\). A local uniqueness theorem and a global uniqueness theorem of Kamke's form are given.
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Abstract and Applied Analysis, 2013 Neutral differential equations have been used to describe the systems that not only depend on the present and past states but also involve derivatives with delays. This paper considers hybrid nonlinear neutral stochastic functional differential equations
Xiaofeng Zong, Fuke Wu, Chengming Huang
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Adams methods for neutral functional differential equations
Numerische Mathematik, 1982 In this paper Adams type methods for the special case of neutral functional differential equations are examined. It is shown thatk-step methods maintain orderk+1 for sufficiently small step size in a sufficiently smooth situation. However, when these methods are applied to an equation with a "non-smooth" solution the order of convergence is only one ...
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Generalized functional-differential equations of neutral type [PDF]
Annales Polonici Mathematici, 1983 This paper deals with equations of the type (1) \(\dot x(t)\in F(t,x_ t,\dot x_ t),\) where F(t,\(\phi\),\(\Psi)\) is a closed convex subset of \(R^ n\), for each \((t,\phi,\Psi)\in R\times C_ T\times L_ T\), \(C_ T\) the set of \(R^ n\)-valued functions continuous on [-r,T], \(L^ 2_ T\) the set of \(R^ n\)-valued square-integrable functions on [-r,T],
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