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.
CITATION STYLE
Han-Zhang, Q., Chen, X., & Ruizhen, Z. (2001). An application of continuous wavelet transform in differential equations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2251, pp. 107–116). Springer Verlag. https://doi.org/10.1007/3-540-45333-4_15
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