On solutions of differential-functional equations of neutral type
Karpatsʹkì Matematičnì Publìkacìï, 2013 We obtain sufficient conditions for existence of continuously differentiable solutions of differential-functional equations of neutral type with linear deviations of the argument bounded on $t \in \mathbb{R}^{-}$.
R. I. Kachurivsky
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On the asymptotic behavior of neutral functional differential equations
Archiv der Mathematik, 1983 On considere une equation differentielle fonctionnelle de type neutre {x(t)−g(t,x t )}'=f(t,x t ) ou f et g sont des fonctions continues de J×C r →R n , J=[t o ,t 0 +A]
Ntouyas, S. K., Sficas, Y. G.
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Oscillation of mixed neutral functional differential equations with distributed deviating arguments [PDF]
, 2008 In this paper, we shall consider mixed neutral functional differential equations. New results on sufficient conditions for the oscillation behavior of solutions for this functional differential equation are presented.
Dahiya R.S., Candan T.
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Oscillation in neutral partial functional differential equations and inequalities
Electronic Journal of Qualitative Theory of Differential Equations, 1998 We derive some sufficient conditions for certain classes of ordinary differential inequalities of neutral type with distributed delay not to have eventually positive or negative solutions.
X. Fu, Jianhong Wu
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On Neutral Functional–Differential Equations with Proportional Delays
Journal of Mathematical Analysis and Applications, 1997 The paper deals with the well-posedness of the initial value problem for the neutral functional-differential equation \[ y'(t)= ay(t)+ \sum_{i=1}^\infty b_iy(q_it)+ \sum_{i=1}^\infty cy'(p_it), \qquad t>0, \quad y(0)=y_0 \] and the asymptotic behaviour of its solutions.
Iserles, Arieh, Liu, Yunkang
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Stability Behaviour in Functional Differential Equations of the Neutral Type
Universal Journal of Mathematics and Applications, 2021 In this study, we examine the behavior of solutions of the neutral functional differential equations. Using a suitable real root of the corresponding characteristic equation, the asymptotic behavior of the solutions and the stability of the trivial ...
Ali Fuat Yeniçerioğlu +2 more
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On Neutral Functional Differential Inclusions involving Hadamard Fractional Derivatives [PDF]
, 2019 We prove the existence of solutions for neutral functional differential inclusions involving Hadamard fractional derivatives by applying several fixed point theorems for multivalued maps.
Hamed H. Al-Sulami +3 more
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Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type [PDF]
, 2000 summary:This paper establishes existence of nonoscillatory solutions with specific asymptotic behaviors of second order quasilinear functional differential equations of neutral type.
Kusano, Takaŝi, Marušiak, Pavol
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Existence of oscillatory and nonoscillatory solutions for a class of neutral functional differential equations [PDF]
, 1995 summary:For a certain class of functional differential equations with perturbations conditions are given such that there exist solutions which converge to solutions of the equations without ...
Kitamura, Y., Kusano, T., Lalli, B. S.
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A class of Neutral Functional Differential Equations
Journal of Differential Equations, 1972 Formulation and study of the initial value problem for neutral functional differential equations. The existence, uniqueness, and continuation of solutions to this problem are investigated, and an analysis is made of the dependence of the solutions on the initial conditions and parameters, resulting in the derivation of a continuous dependence theorem ...
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