×

zbMATH — the first resource for mathematics

Sumudu transform and the solution of integral equations of convolution type. (English) Zbl 1008.45003
Summary: The convolution theorem for the Sumudu transform of a function which can be expressed as a polynomial or a convergent infinite series is proved and its applicability demonstrated in solving convolution type integral equations.

MSC:
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
44A35 Convolution as an integral transform
44A10 Laplace transform
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] MILES J. W., Integral Transforms in Applied Mathematics (1971) · Zbl 0226.44001
[2] SNEDDON I. N., The Use of Integral Transform (1972) · Zbl 0237.44001
[3] SPIEGEL M. R., Schaum’s Outline of Theory and Problems of Advanced Calculus (1974)
[4] STEPHENSON G., Mathematical Methods far Science Students (1973)
[5] WATSON E. J., Laplace Transforms and Applications (1981) · Zbl 0453.44007
[6] DOI: 10.1080/0020739930240105 · Zbl 0768.44003 · doi:10.1080/0020739930240105
[7] DOI: 10.1080/0020739940250214 · Zbl 0812.35004 · doi:10.1080/0020739940250214
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.