Some applications of the theory of operators in Krein spaces to the solvability of nonlinear Hamiltonian systems-Reference-Cited by-同舟云学术

Some applications of the theory of operators in Krein spaces to the solvability of nonlinear Hamiltonian systems

Published:1991-10 Issue:4 Volume:50 Page:987-992
ISSN:0001-4346
Container-title:Mathematical Notes of the Academy of Sciences of the USSR
language:en
Short-container-title:Mathematical Notes of the Academy of Sciences of the USSR

Author:

Azizov T. Ya.,Khatskevich V. L.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01137724.pdf

Reference10 articles.

1. P. H. Rabinowitz, ?Periodic solutions of Hamiltonian systems,? Commun. Pure Appl. Math.,31, 157?184 (1978).

2. V. Benci and P. H. Rabinowitz, ?Critical point theorems for indefinite functionals,? Inventiones Math.,52, 336?352 (1979).

3. A. Capozzi, D. Fortunato, and A. Salvatore, ?Periodic solutions of dynamical systems,? Meccanica-J. Ital. Assoc. Theoret. Appl. Mech., No. 4, 281?284 (1985).

4. A. I. Perov and V. L. Khatskevich, ?On a variational approach in the investigation of periodic solutions of Hamiltonian systems,? in: Theory of Operators in Functional Spaces [in Russian], Voronezh (1983), pp. 72?79.

5. T. Ya. Azizov and I. S. Iokhvidov, Foundations of the Theory of Linear Operators in Spaces with an Indefinite Metric [in Russian], Nauka, Moscow (1986).

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1. On the defect of noncontractive operators in Kreĭn spaces: a new formula and some applications;Contributions to Operator Theory in Spaces with an Indefinite Metric;1998