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 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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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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New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order [PDF]
, 2020 Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this ...
Dumitru Baleanu, Ali Muhib, Osama Moaaz
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More Effective Results for Testing Oscillation of Non-Canonical Neutral Delay Differential Equations [PDF]
, 2021 In this work, we address an interesting problem in studying the oscillatory behavior of solutions of fourth-order neutral delay differential equations with a non-canonical operator.
Moaaz, Osama +7 more
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Asymptotic Behavior of Solutions of the Third Order Nonlinear Mixed Type Neutral Differential Equations [PDF]
, 2020 The objective of our paper is to study asymptotic properties of the class of third order neutral differential equations with advanced and delayed arguments. Our results supplement and improve some known results obtained in the literature. An illustrative
Dimplekumar Chalishajar +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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