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AN APPLICATION OF DARBO'S FIXED POINT THEOREM TO A NONLINEAR QUADRATIC INTEGRAL EQUATION OF VOLTERRA TYPE

강신민|Zeqing Liu|엄정석
한국수학교육학회|2010.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제17권 제2호|pp. 175-183

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참고문헌

키워드

measure of noncompactnessDarbo's ¯xed point theoremnonlinear qua-dratic integral equationmonotonic solution
주제분류수학

초록

Using Darbo's ¯xed point theorem, we establish the existence of mono-tone solutions for a nonlinear quadratic integral equation of Volterra type in the Banach space of real functions de¯ned and continuous on a bounded and closed interval.

Abstract

Using Darbo's ¯xed point theorem, we establish the existence of mono-tone solutions for a nonlinear quadratic integral equation of Volterra type in the Banach space of real functions de¯ned and continuous on a bounded and closed interval.

참고문헌 (17)

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