Electron. J. Differential Equations, Vol. 2017 (2017), No. 148, pp. 1-6.

Trigonometric series adapted for the study of Neumann boundary-value problems of Lame systems

Boubakeur Merouani, Nabil Liazidi

Abstract:
In this article, we study the solutions to Neumann boundary-value problems of Lame system in a sectorial domains. We study directly this problem, by using trigonometric series, without going through the Airy functions. Results using the Airy function are given in [11].

Submitted March 21, 2017. Published June 23, 2017.
Math Subject Classifications: 35C09, 35C10, 35J57, 35Q70.
Key Words: Sector; crack; singularity; Lame; trigonometric series; Airy function.

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Boubakeur Merouani
Applied Mathematics Laboratory (LaMA)
University of Setif 1, Algeria
email: mermathsb@hotmail.fr
Nabil Liazidi
Applied Mathematics Laboratory (LaMA)
University of Setif 1, Algeria
email: n.liazidi@outlook.fr

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