Publication:
Finite series of distributional solutions for certain linear differential equations

4

Issued Date

2020-12-01

Resource Type

Article

ISSN

20751680

DOI

10.3390/axioms9040116

Other identifier(s)

2-s2.0-85095112247

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Axioms. Vol.9, No.4 (2020), 1-12

Suggested Citation

Nipon Waiyaworn, Kamsing Nonlaopon, Somsak Orankitjaroen Finite series of distributional solutions for certain linear differential equations. Axioms. Vol.9, No.4 (2020), 1-12. doi:10.3390/axioms9040116 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/60003

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Title

Finite series of distributional solutions for certain linear differential equations

Author(s)

Nipon Waiyaworn
 Kamsing Nonlaopon
 Somsak Orankitjaroen

Other Contributor(s)

Khon Kaen University
 Mahidol University

Abstract

© 2020 by the authors. Licensee MDPI, Basel, Switzerland. In this paper, we present the distributional solutions of the modified spherical Bessel differential equations t2y′′ (t) + 2ty′ (t) − [t2 + ν(ν + 1)]y(t) = 0 and the linear differential equations of the forms t2y′′ (t) + 3ty′ (t) − (t2 + ν2 − 1)y(t) = 0, where ν ∈ N ∪ {0} and t ∈ R. We find that the distributional solutions, in the form of a finite series of the Dirac delta function and its derivatives, depend on the values of ν. The results of several examples are also presented.

Keyword(s)

Mathematics

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URI

https://repository.li.mahidol.ac.th/handle/123456789/60003

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Scopus 2020