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Proceedings of the American Mathematical Society

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On the existence of fundamental solutions of certain boundary value problems


Author: R. S. Pathak
Journal: Proc. Amer. Math. Soc. 73 (1979), 193-198
MSC: Primary 35A05; Secondary 35D05
DOI: https://doi.org/10.1090/S0002-9939-1979-0516463-6
MathSciNet review: 516463
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Abstract: An existence theorem for fundamental solutions of a large class of boundary value problems involving the Bessel type differential operator $ {S_\mu }$ is proved. The problem includes the Cauchy problem of the differential operator $ {S_\mu }$ as a special case.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0516463-6
Keywords: Fundamental solutions, boundary value problems, Cauchy problem, differential operator $ {S_\mu }$, Hankel transformation, tempered distributions
Article copyright: © Copyright 1979 American Mathematical Society

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