Reducible Volterra retarded equations with infinite delay
نویسندگان
چکیده
منابع مشابه
Regularity of Solutions to Stochastic Volterra Equations with Infinite Delay
The paper gives necessary and sufficient conditions providing regularity of solutions to stochastic Volterra equations with infinite delay on a ddimensional torus. The harmonic analysis techniques and stochastic integration in function spaces are used.
متن کاملOn Linear Volterra Difference Equations with Infinite Delay
Motivated by the old but significant papers by Driver [3] and Driver et al. [5], a number of relevant papers has recently appeared in the literature. See Frasson and Verduyn Lunel [10], Graef and Qian [11], Kordonis et al. [16], Kordonis and Philos [19], Kordonis et al. [21], Philos [26], and Philos and Purnaras [28, 30, 35, 33, 36]. The results in [10, 11, 16, 26, 28, 30, 35, 36] concern the l...
متن کاملThe Kneser Property for Abstract Retarded Functional Differential Equations with Infinite Delay
We establish existence of mild solutions for a class of semilinear first-order abstract retarded functional differential equations (ARFDEs) with infinite delay and we prove that the set consisting of mild solutions for this problem is connected in the space of continuous functions. 1. Introduction. The purpose of this paper is to establish existence of mild solutions of a semilinear abstract re...
متن کاملCollocation Methods for Nonlinear Volterra Integro-Differential Equations with Infinite Delay*
In this paper we study the numerical solution of nonlinear Volterra integrodifferential equations with infinite delay by spline collocation and related Runge-Kutta type methods. The kernel function in these equations is of the form k(t,s,y(t),y(s)), with a representative example given by Volterra's population equation, where we have k(t, s, y(t),y(s)) = a(t s) ■ G(y(t), y(s)). '
متن کاملStability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay
Wemake the first attempt to discuss stability and boundedness of solutions to stochastic Volterra integrodifferential equations with infinite delay (IDSVIDEs). By the Lyapunov-Krasovskii functional approach, we get kinds of sufficient criteria for stability and boundedness of solutions to IDSVIDEs. The main innovation here is that stochastic systems with infinite delay can retain stability and ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The São Paulo Journal of Mathematical Sciences
سال: 2008
ISSN: 2316-9028,1982-6907
DOI: 10.11606/issn.2316-9028.v2i1p37-53