Geodesic
Solving the multiparameter eigenvalue problem for weakly coupled systems of second order Hamilton equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 1, pp. 46-55

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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. 
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     author = {E. D. Kalinin},
     title = {Solving the multiparameter eigenvalue problem for weakly coupled systems of second order {Hamilton} equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_1_a4/}
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E. D. Kalinin. Solving the multiparameter eigenvalue problem for weakly coupled systems of second order Hamilton equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 1, pp. 46-55. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_1_a4/