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