Geodesic
Eigenvalues of boundary value problem for a hybrid system of differential equations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 911-922

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In this paper we consider a boundary-value problem for a hybrid system of differential equations. A hybrid system of differential equations is understood as a system of differential equations composed of ordinary differential equations and partial differential equations. In the capacity of the theoretical foundations of our approach to investigation of the boundary-value problem for the hybrid system of differential equations we propose a method of finding eigenvalues for the boundary-value problem. Application of the Hamilton variation principle for constructing the equations of total dynamics for the systems of interconnected rigid bodies attached to the rod by elastic-damping links necessitates consideration of hybrid systems of differential equations.
Keywords: hybrid system of differential equations, eigenvalues of boundary value problem. 
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     author = {A. D. Mizhidon and K. A. Mizhidon},
     title = {Eigenvalues of boundary value problem for a hybrid system of differential equations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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}
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A. D. Mizhidon; K. A. Mizhidon. Eigenvalues of boundary value problem for a hybrid system of differential equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 911-922. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a84/