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ISSN : 1226-0657

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Vol.13 No.2
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A Hybrid Volterra-Type Equation with Two Types of Impulses

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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