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The Cauchy Problem for a Class of Intergrodifferential Equations 被引量:1

The Cauchy Problem for a Class of Intergrodifferential Equations
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摘要 The existence, uniqueness of bounded and continuous solutions of a class of integrodifferential equations and some estimates of solutions are established. Applying these results to integrodifferential systems with a small parameter ε>0 , we obtain, in particular, some estimates of solutions uniform in ε. The existence, uniqueness of bounded and continuous solutions of a class of integrodifferential equations and some estimates of solutions are established. Applying these results to integrodifferential systems with a small parameter ε>0 , we obtain, in particular, some estimates of solutions uniform in ε.
作者 杨成荣
出处 《Northeastern Mathematical Journal》 CSCD 2000年第4期491-502,共12页 东北数学(英文版)
关键词 integrodifferential convolution operator EXISTENCE UNIQUENESS estimates of solutions integrodifferential, convolution operator, existence, uniqueness, estimates of solutions
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参考文献3

  • 1Peter W. Bates,Paul C. Fife,Xiaofeng Ren,Xuefeng Wang.Traveling Waves in a Convolution Model for Phase Transitions[J].Archive for Rational Mechanics and Analysis.1997(2)
  • 2Bates,P .W,Fife,P .C,Ren ,X .F,Wang ,X .F.Travelingwavesinaconvolutionmodelforphasetransitions[].Arch RationalMech Anal.1997
  • 3Fife,P .C,Wang ,X .F.Aconvolutionmodelforinterfacialmotion :the generationandpropagationofinternallayersinhigherspacedimensions[].Adv DifferentialEquations.1998

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