Collapse of Keldysh chains and the stability of nonconservative systems

Doklady Mathematics

Volumn 66, Issue 1, 2002, Pages 127-131

  Kirillov, O N ^a   Seyranian, A P ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036660913     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. Keldysh, M.V., Dokl. Akad. Nauk SSSR, 1951, vol. 77, no. 1, pp. 11-14.
2. Vishik, M.I. and Lyusternik, L.A., Usp. Mat. Nauk, 1960, vol. 15, no. 3(93), pp. 3-80.
3. Gohberg, I.C. and Krein, M.G., Introduction to the Theory of Linear Non-Self-Adjoint Operators, Providence, RI: Am. Math. Soc., 1969.
4. Naimark, M.A., Linear Differential Operators, New York: Ungar, 1967, part 1.
5. Sadovnichii, V.A., The Non-Self-Adjoint Operator, Matematicheskaya entsiklopediya (Mathematical Encyclopedia), Moscow: Nauka, 1982, vol. 3, pp. 1006-1010.
6. Reed, M.C. and Simon, B., Methods of Modern Mathematical Physics, vol. 4: Analysis of Operators, New York: Academic, 1978. Translated under the title Metody sovremennoi matematicheskoi fiziki, vol. 4: Analiz operatorov, Moscow: Mir, 1982.
7. Gohberg, I., Lancaster, P., and Rodman, L., Matrix Polynomials, New York: Academic, 1982.
8. Seyranian, A.P., Stroin. Cas., 1991, vol. 42, no. 3, pp. 193-208.
9. Kordas, Z. and Zyczkowski, M., Archiv. Mech. Stosowanej., 1963, vol. 15, no. 1, pp. 7-31.
10. Bolotin, V.V., Nekonservativnye zadachi teorii uprugoi ustoichivosti (Nonconservative Problems in Elastic Stability Theory), Moscow: Fizmatgiz, 1961.
11. Ziegler, H., Principles of Structural Stability, Basel: Birkhäuser, 1977, 2nd ed. Translated under the title Osnovy teorii ustoichivosti konstruktsii, Moscow: Mir, 1971.
12. Chow, C.-N. and Hale, J.K., Methods of Bifurcation Theory, New York: Springer-Verlag, 1982.
13. Andreichikov, I.P. and Yudovich, V.I., Mekh. Tverd. Tela, 1974, no. 2, pp. 78-87.