Nipon WaiyawornKamsing NonlaoponSomsak OrankitjaroenKhon Kaen UniversityMahidol University2020-11-182020-11-182020-12-01Axioms. Vol.9, No.4 (2020), 1-12207516802-s2.0-85095112247https://repository.li.mahidol.ac.th/handle/123456789/60003© 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.Mahidol UniversityMathematicsArticleSCOPUS10.3390/axioms9040116