Bilocal periodic problem for the Sturm-Liouville and Dirak operators as well as certain applications in the theory of nonlinear dynamic systems. I

Isospectral problems for operator-valued Sturm-Liouville and Dirac differential expressions are considered. Within the framework of the gradient method, one establishes the complete integrability of the Lax associated nonlinear Hamiltonian systems with a bilocal implectic pair of Noetherian operator...

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Bibliographic Details
Date:1990
Main Authors: Bogolyubov (juniour), N. N., Prikarpatsky , A. K., Боголюбов (мл.), Н. Н., Прикарпатский, А. К.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1990
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8839
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal