Distributional solutions of nth-order differential equations of the Bessel equation

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Kamsing Nonlaopon
Thana Nuntigrangjana
Sasitorn Putjuso

Abstract

In this paper, we study the distributional solutions of nth-order differential equation of the form x2y(n) (x)+xy(n-1) (x)+(b2x2-p2)y(n-2) (x) = 0 where p ≥ 0, n ≥ 2, b > 0 and x is a real variable. These solutions are obtained in the form of infinite series of the Dirac delta functions and its derivatives. We employ these solutions to observe their interesting features.

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How to Cite
Nonlaopon, K., Nuntigrangjana, T., & Putjuso, S. (2017). Distributional solutions of nth-order differential equations of the Bessel equation. RMUTSB ACADEMIC JOURNAL, 5(1), 1–10. Retrieved from https://li01.tci-thaijo.org/index.php/rmutsb-sci/article/view/99828
Section
Research Article