• 제목/요약/키워드: Sadovskii's fixed point theorem

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CONTROLLABILITY OF SEMILINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS

  • Kwun, Young-Chel;Park, So-Hyun;Park, Dong-Gun;Park, Jong-Seo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제15권3호
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    • pp.245-257
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    • 2008
  • In this paper, we find the sufficient conditions of controllability of semi-linear neutral functional differential evolution equations with non local conditions using by fractional power of operators and Sadovskii's fixed point theorem.

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FIXED POINTS OF COUNTABLY CONDENSING MAPPINGS AND ITS APPLICATION TO NONLINEAR EIGENVALUE PROBLEMS

  • KIM IN-SOOK
    • 대한수학회지
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    • 제43권1호
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    • pp.1-9
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    • 2006
  • Based on the Schauder fixed point theorem, we give a Leray-Schauder type fixed point theorem for countably condensing mappings in a more general setting and apply it to obtain eigenvalue results on condensing mappings in a simple proof. Moreover, we present a generalization of Sadovskii's fixed point theorem for count ably condensing self-mappings due to S. J. Daher.