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.
| Published in | Pure and Applied Mathematics Journal (Volume 4, Issue 6) |
| DOI | 10.11648/j.pamj.20150406.16 |
| Page(s) | 259-263 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Frankl Problem, Lebesgue Integral, Holder Inequality, Bessel Equation
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APA Style
Naser Abbasi, Hamid Mottaghi Golshan, Mahmood Shakori. (2015). 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, 4(6), 259-263. https://doi.org/10.11648/j.pamj.20150406.16
ACS Style
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 Appl. Math. J. 2015, 4(6), 259-263. doi: 10.11648/j.pamj.20150406.16
AMA Style
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 Appl Math J. 2015;4(6):259-263. doi: 10.11648/j.pamj.20150406.16
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Download@article{10.11648/j.pamj.20150406.16,
author = {Naser Abbasi and Hamid Mottaghi Golshan and Mahmood Shakori},
title = {On the Finding the Other Eigenvalues and Eigen Functions and Ortogonal Basis with a Nonlocal Parity Condition of the Third Kind},
journal = {Pure and Applied Mathematics Journal},
volume = {4},
number = {6},
pages = {259-263},
doi = {10.11648/j.pamj.20150406.16},
url = {https://doi.org/10.11648/j.pamj.20150406.16},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150406.16},
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.},
year = {2015}
}
TY - JOUR T1 - On the Finding the Other Eigenvalues and Eigen Functions and Ortogonal Basis with a Nonlocal Parity Condition of the Third Kind AU - Naser Abbasi AU - Hamid Mottaghi Golshan AU - Mahmood Shakori Y1 - 2015/10/24 PY - 2015 N1 - https://doi.org/10.11648/j.pamj.20150406.16 DO - 10.11648/j.pamj.20150406.16 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 259 EP - 263 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20150406.16 AB - 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. VL - 4 IS - 6 ER -
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