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A PERTURBATION THEOREM AND ITS APPLICATION

A PERTURBATION THEOREM ANDITS APPLICATION
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摘要 This paper is concerned with operators of abstract equations which are de-pendent on a multi-parameter. A general theorem, which may be viewed as aperturbation theorem, is developed first. The result is then applied to an abstractintegrodifferential equation and is used to study differentiability with respect toparameters of solutions of this integrodifferential equation. An application to aviscoelastic equation is also given. This paper is concerned with operators of abstract equations which are de-pendent on a multi-parameter. A general theorem, which may be viewed as aperturbation theorem, is developed first. The result is then applied to an abstractintegrodifferential equation and is used to study differentiability with respect toparameters of solutions of this integrodifferential equation. An application to aviscoelastic equation is also given.
出处 《Annals of Differential Equations》 1999年第4期352-361,共10页 微分方程年刊(英文版)
关键词 integrodifferential equation MULTI-PARAMETER PERTURBATION integrodifferential equation, multi-parameter, perturbation
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