A PERTURBATION THEOREM ANDITS APPLICATION

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.