Solving the multiparameter eigenvalue problem for weakly coupled systems of second order Hamilton equations

Solving the multiparameter eigenvalue problem for weakly coupled systems of second order Hamilton equations

The multiparameter eigenvalue problem for weakly coupled systems of second order Hamilton equations is examined. For the eigenvalues with prescribed indices, the existence and uniqueness of the solution is investigated. A numerical method for solving this problem is proposed, and some numerical resu...

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Veröffentlicht in:Computational mathematics and mathematical physics 2015, Vol.55 (1), p.43-52
1. Verfasser: Kalinin, E. D.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Computation
Computational mathematics
Computational Mathematics and Numerical Analysis
Differential equations
Eigenvalues
Joining
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Numerical analysis
Ordinary differential equations
Physics
Studies
System theory
Uniqueness
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Zusammenfassung:The multiparameter eigenvalue problem for weakly coupled systems of second order Hamilton equations is examined. For the eigenvalues with prescribed indices, the existence and uniqueness of the solution is investigated. A numerical method for solving this problem is proposed, and some numerical results are presented.
ISSN:0965-5425
1555-6662
DOI:10.1134/S096554251501008X