About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Sobajima, Motohiro ; Metafune, Giorgio
An elementary proof of asymptotic behavior of solutions of U" = VU. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 369-376
MSC: 34E10
Keywords:
Elementary proof, second-order ordinary differential equations, asymptotic behavior
Summary:
We provide an elementary proof of the asymptotic behavior of solutions of second order differential equations without successive approximation argument.
References:
[1] Beals, R., Wong, R.: Special functions. A graduate text, Cambridge Studies in Advanced Mathematics 126, Cambridge University Press, Cambridge, 2010. MR 2683157
[2] Erdélyi, A.: Asymptotic expansions. Dover Publications, Inc., New York, 1956.
[3] Olver, F.W.J.: Asymptotics and special functions. Computer Science and Applied Mathematics, Academic Press, New York-London, 1974. MR 0435697
[4] Reed, M., Simon, B.: Methods of modern mathematical physics. II. Fourier analysis, selfadjointness. Academic Press, New York-London, 1975. MR 0493420
Partner of
EuDML logo