Asymptotic expansion of differential equations with an irregular singular point of finite rank
Journal Article
·
· Journal of Mathematical Sciences
An asymptotic expansion is constructed for solutions of second-order differential equations with an irregular singular point of finite rank at infinity. Formal solutions are obtained. By reduction of the differential equation to a Volterra integral equation we prove that the formal solutions are asymptotic expansions of the solutions of the differential equation.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 91141
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 5 Vol. 72; ISSN 1072-1964; ISSN JMTSEW
- Country of Publication:
- United States
- Language:
- English
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