The stability of periodic solutions of discontinuous systems that intersect several surfaces of discontinuity

Journal of Applied Mathematics and Mechanics

Volumn 62, Issue 5, 1998, Pages 677-685

  Ivanov, A P ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032216922     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(98)00087-2     Document Type: Article

References (10)

1. 1. LYAPUNOV, A. M., The general problem of the stability of motion. In Collected Papers, Vol. 2. Izd. Akad. Nauk SSSR, Moscow, 1956, 7-263.
2. 2. AIZERMAN, M. A. and GANTMAKHER, F. R., Stability in the linear approximation of a periodic solution of a system of differential equations with discontinuous right-hand sides. Prikl. Mat. Mekh., 1957, 21, 5, 658-669.
3. 3. S. V. YEMEL'YANOV (Ed.), Theory of Systems with Variable Structure. Nauka, Moscow, 1970.
4. 4. FILIPPOV, A. F., Differential Equations with Discontinuous Right-hand Side. Nauka, Moscow, 1985.
5. 5. IVANOV, A. P., Dynamics of Systems with Mechanical Collisions. Mezhdunarodnaya Programma Obrazovaniya, Moscow, 1997.
6. 6. IVANOV, A. P., Impacts in systems with several unilateral constraints. Prikl. Mat. Mekh., 1987, 51, 4, 559-566.
7. 7. NEIMARK, Yu, I., The point transformation method in the theory of non-linear oscillations, I. Izv. Vuzov, Ser. Radiofizika, 1958, 1, 41-66.
8. 8. NEMYTSKII, V. V. and STEPANOV, V. V., The Qualitative Theory of Differential Equations. Gostekhizdat, Moscow, 1947.
9. 9. ZHURAVLEV, V. F. and KLIMOV, D. M., Applied Methods in the Theory of Oscillations. Nauka, Moscow, 1988.
10. 10. KOBRINSKII, A. Ye. and KOBRINSKII, A. A., Vibro-impact Systems. Nauka, Moscow, 1973.