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