Finite Series of Distributional Solutions for Certain Linear Differential Equations
Keyword(s):
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.
1990 ◽
Vol 148
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pp. 390-421
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2016 ◽
Vol 8
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pp. 536-555
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1993 ◽
pp. 325-378
1991 ◽
Vol 159
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pp. 271-289
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2020 ◽