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ON CERTAIN BOUNDARY VALUE PROBLEMS FOR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS

ON CERTAIN BOUNDARY VALUE PROBLEMS FOR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS
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摘要 In this paper we seek sufficient conditions for the existence, uniqueness and continuous dependene on parameter of solutions of certain boundary value problems for nonlinear integrodifferential equations. The main tool employed in our analysis is based on converting the problems into equivalent Volterra integral equations by means of Green's function representation and the application of the Banach fixed point theorem. In this paper we seek sufficient conditions for the existence, uniqueness and continuous dependene on parameter of solutions of certain boundary value problems for nonlinear integrodifferential equations. The main tool employed in our analysis is based on converting the problems into equivalent Volterra integral equations by means of Green's function representation and the application of the Banach fixed point theorem.
出处 《Acta Mathematica Scientia》 SCIE CSCD 1994年第2期226-234,共9页 数学物理学报(B辑英文版)
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