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

• Datum: 1990
• Hauptverfasser: Bogolyubov (juniour), N. N., Prikarpatsky , A. K., Боголюбов (мл.), Н. Н., Прикарпатский, А. К.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1990
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8839
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...