A Hybrid Volterra-Type Equation with Two Types of Impulses
Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / 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.
Park Jong-Seo
Belbas,
S.
, &
Park,
J.
(2006). A Hybrid Volterra-Type Equation with Two Types of Impulses. , 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