A DISCUSSION ON CONTINUOUS WAVELET TRANSFORM IN A SPECIAL ABSTRACT FUNCTION SPACE AND DEFFERENTIAL EQUATIONS
This work is supported by the project of the Education Department of Shaanxi Prrovince. No. 06JK192.
The relation between the differential equations in a special abstract function space and the integral equations in the space is discussed by using the continuous wavelet transform; the result that the differential equations can be transformed into the integral equations is obtained; they are equivalent not only in the weak topology but also in the strong topology.