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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

A HYBRID VOLTERRA-TYPE EQUATION WITH TWO TYPES OF IMPULSES

A Hybrid Volterra-Type Equation with Two Types of Impulses

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)

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

한국수학교육학회지시리즈B:순수및응용수학