On global existence for Ito-Volterra functional differential equations

被引：0

作者：

Okonkwo, ZC ^{[1
]}

机构：

[1] Albany State Univ, Dept Math & Comp Sci, Albany, GA 31705 USA

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2004年 / 13卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the global existence of a class of stochastic functional differential equations involving causal operators. Using some results of Corduneanu and the integral representation of the solution process, existence and uniqueness of the solution process of this class of functional differential equations are proven. Furthermore, a singular perturbation problem related to this class of equations is discussed.

引用

页码：17 / 23

页数：7

共 50 条

[21] MONOTONE ITERATIVE TECHNIQUE FOR 1-DIMENSIONAL ITO-VOLTERRA INTEGRAL-EQUATIONS
KIM, JH
HA, KS
STOCHASTIC ANALYSIS AND APPLICATIONS, 1991, 9 (03) : 285 - 299
[22] Numerical solution of nonlinear stochastic Ito-Volterra integral equations based on Haar wavelets
Wu, Jieheng
Jiang, Guo
Sang, Xiaoyan
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[23] WEAK SOLUTIONS TO NONLINEAR ITO-VOLTERRA STOCHASTIC-EQUATIONS IN HILBERT-SPACES
LEWIN, M
STOCHASTIC ANALYSIS AND APPLICATIONS, 1992, 10 (04) : 443 - 464
[24] A wavelet-based computational method for solving stochastic Ito-Volterra integral equations
Mohammadi, Fakhrodin
JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 298 : 254 - 265
[25] Global existence for functional semilinear Volterra integrodifferential equations in Banach spaces
Ntouyas, SK
Tsamatos, PC
ACTA MATHEMATICA HUNGARICA, 1998, 80 (1-2) : 67 - 82
[26] Global Existence for Functional Semilinear Volterra Integrodifferential Equations in Banach Spaces
S. K. Ntouyas
P. Ch. Tsamatos
Acta Mathematica Hungarica, 1998, 80 : 67 - 82
[27] SOME GLOBAL PROBLEMS FOR VOLTERRA FUNCTIONAL-DIFFERENTIAL EQUATIONS
CORDUNEANU, C
VOLTERRA INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES AND APPLICATIONS, 1989, 190 : 90 - 100
[28] On filtering problems over Ito-Volterra and delayed observations
Basin, MV
Llanes, MV
Guzman, IRV
NONLINEAR CONTROL SYSTEMS 2001, VOLS 1-3, 2002, : 1107 - 1112
[29] Global existence results for impulsive functional differential equations
Luo, Zhiguo
Shen, Ranhua
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (01) : 644 - 653
[30] Application of Bernoulli wavelet method for estimating a solution of linear stochastic Ito-Volterra integral equations
Mirzaee, Farshid
Samadyar, Nasrin
MULTIDISCIPLINE MODELING IN MATERIALS AND STRUCTURES, 2019, 15 (03) : 575 - 598

← 1 2 3 4 5 →