An Application of Continuous Wavelet Transform in Differential Equations
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.
KeywordsIntegral Equation Integral Operator Bilinear Form Discret Wavelet Bounded Linear Operator
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