Volume 4, Issue 6, December 2015, Page: 259-263
On the Finding the Other Eigenvalues and Eigen Functions and Ortogonal Basis with a Nonlocal Parity Condition of the Third Kind
Naser Abbasi, Department of Mathematics, Lorestan University, Khoramabad, Iran
Hamid Mottaghi Golshan, Department of Mathematics, Islamic Azad University, Ashtian Branch, Ashtian, Iran
Mahmood Shakori, Department of Mathematics, Lorestan University, Khoramabad, Iran
Received: Sep. 22, 2015;       Accepted: Oct. 11, 2015;       Published: Oct. 24, 2015
DOI: 10.11648/j.pamj.20150406.16      View  3510      Downloads  68
Abstract
In the present paper, we find out the eigenvalues and the corresponding eigenfunctions of the modified Frankl problem with a nonlocal parity condition, the completeness and the basis property in the elliptic part of the third kind of a domain in L2(0, π/2). We also consider a new boundaries condition and analyze the orthogonal basis of the eigenfunctions depending on parameters of the problem.
Keywords
Frankl Problem, Lebesgue Integral, Holder Inequality, Bessel Equation
To cite this article
Naser Abbasi, Hamid Mottaghi Golshan, Mahmood Shakori, On the Finding the Other Eigenvalues and Eigen Functions and Ortogonal Basis with a Nonlocal Parity Condition of the Third Kind, Pure and Applied Mathematics Journal. Vol. 4, No. 6, 2015, pp. 259-263. doi: 10.11648/j.pamj.20150406.16
Copyright
Copyright © 2015 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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