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Existence of solutions of quasilinear integrodifferential evolution equations in Banach spaces

Krishnan Balachandran|Dong Gun Park
대한수학회 (The Korean Mathematical Society)|2009.07|대한수학회보 (Bulletin of the KMS)|제46권 제4호|pp. 691-700

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참고문헌

키워드

existence of solutionfixed point theoremanalytic semigroupquasilinear integrodifferential equation
주제분류수학

초록

We prove the local existence of classical solutions of quasilinear integrodifferential equations in Banach spaces. The results are obtained by using fractional powers of operators and the Schauder fixed-point theorem. An example is provided to illustrate the theory.

Abstract

We prove the local existence of classical solutions of quasilinear integrodifferential equations in Banach spaces. The results are obtained by using fractional powers of operators and the Schauder fixed-point theorem. An example is provided to illustrate the theory.

참고문헌 (27)

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