• 제목/요약/키워드: quasilinear integrodifferential equation

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EXISTENCE OF SOLUTIONS OF QUASILINEAR INTEGRODIFFERENTIAL EVOLUTION EQUATIONS IN BANACH SPACES

  • Balachandran, Krishnan;Park, Dong-Gun
    • 대한수학회보
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    • 제46권4호
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    • pp.691-700
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    • 2009
  • We prove the local existence of classical solutions of quasi-linear 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.