[PDF] Top 20 Fixed Points and Stability in Neutral Stochastic Differential Equations with Variable Delays

... investigate stability properties of a wide variety of differential ...of stability by means of Liapunov’s direct ...the stability by using the fixed point theory which solved the difficulties ... See full document

... linear neutral differential equation with variable delays is considered in this ...asymptotic stability of the zero solution are established using the fixed point method and the ... See full document

... differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping ...two equations about the stability ... See full document

... The content of this paper is arranged as follows. In Section 2, some necessary definitions, notations, and lemmas used in this paper will be introduced. In Section 3, by establishing a lemma, some sufficient conditions ... See full document

... Volterra-Levin equations are often applied in biological problem [], which were first studied by ...Specially, stability of Volterra-Levin equation always attracts many au- thors’ .../ stability ... See full document

... with delays. Hale and Lune [7] have studied deterministic neutral differential delay equations (NDDEs) and their ...the neutral stochastic differential delay ... See full document

... differential equations (see [, , , , , ...and stability of almost periodic solutions for quasilinear delay ...impulsive neutral differential equa- tion to a n-dimensional singular impulsive ... See full document

... Many stochastic dynamical systems do not only depend on present and past states but also involve derivatives with ...delays. Neutral stochastic differential delay equations ... See full document

... differential equations (FDEs) have a wide range of applications in science and ...and neutral FDEs are four main types of functional differential ...and neutral FDEs have more ap- plications in real ... See full document

... In [4], instead of using a Lyapunov functional, the author studied asymptotic stabil- ity of the above IDE by using the concept of a contraction mapping in line with the fixed point theory for a class of ... See full document

... of stochastic system model, and their stability analysis has attracted considerable attention in recent ...most stochastic systems cannot be solved explicitly, the research on stochastic ... See full document

... of stochastic partial different equations in a separable Hilbert space has become an important area of investigation in the past two decades because of their applications to various problems arising in ... See full document

... the neutral stochastic functional differential equations, and the neutral part, which has been used in investigating the qualitative properties of derivatives of delays for dynamical ... See full document

... []. Stability analysis of uncertain neutral stochastic systems with time-varying delays has received the attention of a lot of theoreticians and engineers in this field over the last few ... See full document

... the stability in a distribution is an important notion like the stability in probability or in the moment of stochastic differential ...a stability is much weaker than stability in ... See full document

... Pantograph differential equation was used by Ock- endon and Tayler [15] to investigate how the electric current is collected by the pantograph of an electric locomotive, from where it gets the ...tograph ... See full document

... asymptotical stability of positive solutions for system ...the delays (or delay-dependent) which is different from the previous works that are delay- ... See full document

... to stochastic fractional equations by a fixed point strategy and discussed complete controllability of stochastic evolution equa- tions with jumps, ...and stability of mild solutions to ... See full document

... Nurcan Bayku¸ s Sava¸ saneril received her B.Sc. from the Department of Mathemat- ics of Ege University in 1991. Her M.Sc. was from Dokuz Eyl¨ ul University in 1995. She received her Ph.D. in the Department of ... See full document

... for neutral impulsive stochastic func- tional differential equations with Poisson jumps have been derived using fixed point ap- ...exponential stability of mild solutions for neutral ... See full document