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DJPS

Diyala Journal For Pure Science

Scientific Refereed Journal Published By College of Science - University of Diyala

 

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djps.1404.452A

Diyala Journal For Pure Sciences DJPS

ISRA Impact Factor:3.715

P- ISSN:2222-8373, E-ISSN:2518-9255

Volume 14, Issue 4 , October . 2018

 

 

Existence of Solution for Some Nonlinear Eigenvalue Problems

 

Fatima Mohammed Aboud

Year: 2018, Volume: 14, Issue: 4

 

Pages: 88-104   , DOI: http://dx.doi.org/10.24237/djps.1404.452A

 

Language: English

 

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Abstract


 

The existence of solutions for a non - linear eigenvalue problems is well studied and proved for an even dimension n. In this article we will study the case of odd dimension n > 1 for the family of quasi-homogenous and we will gi ve some examples for the case when the imension of the space either n = 3 or n= 5. We study the conditions for which we can prove the existence of non trivial solution for each case.

Keywords: nonlinear eigenvalue problems, spectra, trace, quasi-homogenous operators

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