A Hybrid Volterra-Type Equation with Two Types of Impulses

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2006, v.13 no.2, pp.121-136

Belbas S.A. (MATHEMATICS DEPARTMENT, UNIVERSITY OF ALABAMA)
Park Jong-Seo (DEPARTMENT OF MATHEMATICS EDUCATION, CHINJU NATIONAL UNIVERSITY OF EDUCATION)

Belbas S.A., & Park Jong-Seo. (2006). A HYBRID VOLTERRA-TYPE EQUATION WITH TWO TYPES OF IMPULSES. 한국수학교육학회지시리즈B:순수및응용수학, 13(2), 121-136.

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Abstract

We formulate and analyze a hybrid system model that involves Volterra integral operators with multiple integrals and two types of impulsive terms. We give a constructive proof, via an iteration method, of existence and uniqueness of solutions.

keywords: Volterra integral equation, impulsive equations, fixed point theorems

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논문 상세

Vol.13 No.2

A HYBRID VOLTERRA-TYPE EQUATION WITH TWO TYPES OF IMPULSES

A Hybrid Volterra-Type Equation with Two Types of Impulses

Abstract

한국수학교육학회지시리즈B:순수및응용수학