Hyers-ulam-rassias Stability of Nonlinear Volterra Integral Equations via a Fixed Point Approach
نویسنده
چکیده
By using a fixed point method, we establish the Hyers–Ulam stability and the Hyers–Ulam–Rassias stability for a general class of nonlinear Volterra integral equations in Banach spaces. 2000 Mathematics Subject Classification: Primary 45N05, 47J05, 47N20, 47J99, Secondary 47H99, 45D05, 47H10.
منابع مشابه
Hyers–Ulam–Rassias stability of impulsive Volterra integral equation via a fixed point approach
In this paper, we establish the Hyers--Ulam--Rassias stability and the Hyers--Ulam stability of impulsive Volterra integral equation by using a fixed point method.
متن کاملHyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay
In this paper we are going to study the Hyers{Ulam{Rassias typesof stability for nonlinear, nonhomogeneous Volterra integral equations with delayon nite intervals.
متن کاملUlam-Hyers-Rassias stability for fuzzy fractional integral equations
In this paper, we study the fuzzy Ulam-Hyers-Rassias stability for two kinds of fuzzy fractional integral equations by employing the fixed point technique.
متن کاملUlam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition
In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional differential equations with non-instantaneous integral impulses and nonlinear integral boundary condition. We also establish certain conditions fo...
متن کاملA new method for the generalized Hyers-Ulam-Rassias stability
We propose a new method, called the textit{the weighted space method}, for the study of the generalized Hyers-Ulam-Rassias stability. We use this method for a nonlinear functional equation, for Volterra and Fredholm integral operators.
متن کامل