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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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Attractivity for neutral functional differential equations [PDF]
Discrete & Continuous Dynamical Systems - B, 2013 We study the long term dynamics of non-autonomous functional di fferential equations. Namely, we establish existence results on pullback attractors for non-linear neutral functional di erential equations with time varying delays. The two main results di er in smoothness properties of delay functions.
Tomás Caraballo, Gábor Kiss
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Stability of simple periodic solutions of neutral functional differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2003 We study the stability property of a simple periodic solution of an autonomous neutral functional differential equation (NFDE) of the form $${d\over dt} D(x_t) = f (x_t).$$ A new proof based on local integral manifold theory and the implicit function ...
Z. Shao, Y. Lu
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Critical cases in neutral functional differential equations, arising from hydraulic engineering [PDF]
Opuscula Mathematica, 2022 This paper starts from several applications described by initial/boundary value problems for \(1D\) (time and one space variable) hyperbolic partial differential equations whose basic properties and stability of equilibria are studied throughout the same
Vladimir Răsvan
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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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Interpretation on nonlocal neutral functional differential equations with delay
AIMS Mathematics, 2023 This work deals with the existence and continuous dependence of an integral solution for neutral integro-differential equations with a nonlocal condition.
Kottakkaran Sooppy Nisar +3 more
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Critical cases for neutral functional differential equations [PDF]
Journal of Differential Equations, 1971 Neutral functional equation including scalar differential-difference equation, determining sufficient conditions for zero ...
Jack K. Hale
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Analysis of stochastic neutral fractional functional differential equations
Boundary Value Problems, 2022 This work deals with the large deviation principle which studies the decay of probabilities of certain kind of extremely rare events. We consider stochastic neutral fractional functional differential equation with multiplicative noise and show large ...
Alagesan Siva Ranjani +3 more
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Topologies for neutral functional differential equations
Journal of Differential Equations, 1973 Bounded topologies are considered for functional differential equations of the neutral type in which present dynamics of the system are influenced by its past behavior. A special bounded topology is generated on a collection of absolutely continuous functions with essentially bounded derivatives, and an application to a class of nonlinear neutral ...
William R Melvin
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Special solutions of neutral functional differential equations
Journal of Inequalities and Applications, 2001 For a system of nonlinear neutral functional differential equations we prove the existence of an -parameter family of "special solutions" which characterize the asymptotic behavior of all solutions at infinity.
Győri István +1 more
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