An Application of Continuous Wavelet Transform in Function Spaces

Qu Han · Gongcheng shuxue xuebao · 2003

The relation between some differential equations and the integral equations is discussed. The differential equations can be transformed into the integral equations by using the continuous wavelet transform. The differential equations and the integral equations are equivalent not only in the weak topology but also in the strong topology. The discussion on the differential equations can be connected with the discussion on the integral equations.

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