关于B-值广义白噪声泛函的VOLTERRA型积分方程

Integral Equations of Volterra Type of B-valued Generalized Functionals of White Noise

讨论了关于Banach值广义白噪声泛函的量子Volterra型积分方程,其中核为时空白噪声,自由项为取值于B值广义泛函空间的抽象函数.在此基础上,证明了:方程解的存在性,唯一性和强连续性.

Integral eqution of Volterra type of Bvalued generalized functionals of white noise is introduced.Existence and uniqueness of solutions are established,explicit expression of the solution is given,and its strongcontinuity is also proved.