An elementary proof of asymptotic behavior of solutions of U" = VU

Sobajima, Motohiro; Metafune, Giorgio

  • Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 369-376

Abstract

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We provide an elementary proof of the asymptotic behavior of solutions of second order differential equations without successive approximation argument.

How to cite

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Sobajima, Motohiro, and Metafune, Giorgio. "An elementary proof of asymptotic behavior of solutions of U" = VU." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 369-376. <http://eudml.org/doc/294913>.

@inProceedings{Sobajima2017,
abstract = {We provide an elementary proof of the asymptotic behavior of solutions of second order differential equations without successive approximation argument.},
author = {Sobajima, Motohiro, Metafune, Giorgio},
booktitle = {Proceedings of Equadiff 14},
keywords = {Elementary proof, second-order ordinary differential equations, asymptotic behavior},
location = {Bratislava},
pages = {369-376},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {An elementary proof of asymptotic behavior of solutions of U" = VU},
url = {http://eudml.org/doc/294913},
year = {2017},
}

TY - CLSWK
AU - Sobajima, Motohiro
AU - Metafune, Giorgio
TI - An elementary proof of asymptotic behavior of solutions of U" = VU
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 369
EP - 376
AB - We provide an elementary proof of the asymptotic behavior of solutions of second order differential equations without successive approximation argument.
KW - Elementary proof, second-order ordinary differential equations, asymptotic behavior
UR - http://eudml.org/doc/294913
ER -

References

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  1. Beals, R., Wong, R., Special functions, , A graduate text, Cambridge Studies in Advanced Mathematics 126, Cambridge University Press, Cambridge, 2010. MR2683157
  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. MR0435697
  4. Reed, M., Simon, B., Methods of modern mathematical physics. II. Fourier analysis, selfadjointness, , Academic Press, New York-London, 1975. MR0493420

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