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Criterion of Existence of Eigen Values of Linear Multiparameter Systems
Pure and Applied Mathematics Journal
Volume 4, Issue 4-1, August 2015, Pages: 11-15
Received: Mar. 23, 2015; Accepted: Apr. 10, 2015; Published: May 12, 2015
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Rakhshanda Dzhabarzadeh, Department of functional analysis of Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku
Elnara Sultanova, Department of Applied Mathematics of Baku State Universiteties, Azerbaijan, Baku
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It is considered the linear multiparameter system of operators when the number of equations may be more than the number of parameters. For such multiparameter systems the authors have proved the criterion of existence of eigen values. Under certain conditions, the authors a have proved that all components of the eigen values of the considered multiparameter systems are real numbers.
Operator, Parameter, Eigenvalue, System, Multiparameter
To cite this article
Rakhshanda Dzhabarzadeh, Elnara Sultanova, Criterion of Existence of Eigen Values of Linear Multiparameter Systems, Pure and Applied Mathematics Journal. Special Issue: Spectral Theory of Multiparameter Operator Pencils and Its Applications. Vol. 4, No. 4-1, 2015, pp. 11-15. doi: 10.11648/j.pamj.s.2015040401.13
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