Hyers–Ulam–Rassias stability of impulsive Volterra integral equation via a fixed point approach
نویسندگان
چکیده مقاله:
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.
منابع مشابه
Hyers-ulam-rassias Stability of Nonlinear Volterra Integral Equations via a Fixed Point Approach
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.
متن کاملHyers-Ulam stability of Volterra integral equation
We will apply the successive approximation method forproving the Hyers--Ulam stability of a linear integral equation ofthe second kind.
متن کاملExistence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem
In this paper, we study the existence of solutions of some nonlinear Volterra integral equations by using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. We also present some examples of the integral equation to confirm the efficiency of our results.
متن کاملhyers-ulam stability of volterra integral equation
we will apply the successive approximation method forproving the hyers--ulam stability of a linear integral equation ofthe second kind.
متن کاملA Fixed Point Approach to Stability of a Quadratic Equation
Using the fixed point alternative theorem we establish the orthogonal stability of quadratic functional equation of Pexider type f(x + y) + g(x − y) = h(x) + k(y), where f, g, h, k are mappings from a symmetric orthogonality space to a Banach space, by orthogonal additive mappings under a necessary and sufficient condition on f .
متن کاملVolterra filter equalization: a fixed point approach
Robert D. Nowak , Member, IEEE, Barry D. Van Veeny, Member, IEEE, Department of Electrical and Computer Engineering University of Wisconsin-Madison, WI 53706 USA Abstract | One important application of Volterra lters is the equalization of nonlinear systems. Under certain conditions this problem can be posed as a xed point problem involving a contraction mapping. In this paper, we generalize th...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 08 شماره 04
صفحات 219- 227
تاریخ انتشار 2019-12-01
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023