On a nonlinear stochastic integral equation

被引：0

作者：

Romeo Negrea

机构：

[1] ‘Politehnica’ University of Timişoara,Department of Mathematics

来源：

Monatshefte für Mathematik | 2020年 / 192卷

关键词：

Stochastic equation; Urysohn integral equation; Arzela-Ascoli theorem; Fixed point theorem; 45G10; 60H20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove some existence and uniqueness results for nonlinear stochastic integral equation of Urysohn type using fixed point theory methods. We also establish the stability of the unique solution with respect to small perturbations of the stochastic free term (Constantin, Qualitative problems for differential equations and control theory, World Scientific Publishing, Singapore, 1995).

引用

页码：905 / 914

页数：9

共 50 条

[1] On a nonlinear stochastic integral equation
Negrea, Romeo
MONATSHEFTE FUR MATHEMATIK, 2020, 192 (04): : 905 - 914
[2] IDENTIFICATION OF A NONLINEAR, STOCHASTIC, AND INTEGRAL-EQUATION
RIGAS, AG
DIFFERENTIAL EQUATIONS //: PROCEEDINGS OF THE EQUADIFF CONFERENCE, 1989, 118 : 597 - 604
[3] AN ABSTRACT NONLINEAR STOCHASTIC INTEGRAL-EQUATION
TUDOR, C
JOURNAL OF DIFFERENTIAL EQUATIONS, 1984, 54 (03) : 401 - 413
[4] NONLINEAR STOCHASTIC INTEGRAL-EQUATION OF HAMMERSTEIN TYPE
PADGETT, WJ
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 38 (03) : 625 - 631
[5] Adapted solution of a backward stochastic nonlinear Volterra integral equation
Lin, JZ
STOCHASTIC ANALYSIS AND APPLICATIONS, 2002, 20 (01) : 165 - 183
[6] A STOCHASTIC INTEGRAL EQUATION
ANDERSON, MW
SIAM JOURNAL ON APPLIED MATHEMATICS, 1970, 18 (02) : 526 - &
[7] Picard Approximation of a Singular Backward Stochastic Nonlinear Volterra Integral Equation
Ahmadova, Arzu
Mahmudov, Nazim I.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (04)
[8] EXISTENCE OF A RANDOM SOLUTION TO A NONLINEAR PERTURBED STOCHASTIC INTEGRAL-EQUATION
RAO, ANV
TSOKOS, CP
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1976, 28 (01) : 99 - 109
[9] ALMOST SURELY CONTINUOUS SOLUTIONS OF A NONLINEAR STOCHASTIC INTEGRAL-EQUATION
PADGETT, WJ
MATHEMATICAL SYSTEMS THEORY, 1976, 10 (01): : 69 - 75
[10] Numerical solution of nonlinear stochastic integral equation by stochastic operational matrix based on Bernstein polynomials
Asgari, Mahnaz
Hashemizadeh, Elham
Khodabin, Morteza
Maleknejad, Khosrow
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2014, 57 (01): : 3 - 12

← 1 2 3 4 5 →