# 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

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topSobajima, 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

top- Beals, R., Wong, R., Special functions, , A graduate text, Cambridge Studies in Advanced Mathematics 126, Cambridge University Press, Cambridge, 2010. MR2683157
- Erdélyi, A., Asymptotic expansions, , Dover Publications, Inc., New York, 1956.
- Olver, F.W.J., Asymptotics and special functions, , Computer Science and Applied Mathematics, Academic Press, New York-London, 1974. MR0435697
- Reed, M., Simon, B., Methods of modern mathematical physics. II. Fourier analysis, selfadjointness, , Academic Press, New York-London, 1975. MR0493420

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