On the ``Poincaré-Lyapunov”-like systems of three differential equations
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1986)
- Volume: 25, Issue: 1, page 165-180
- ISSN: 0231-9721
Access Full Article
topHow to cite
topAndres, Ján. "On the ``Poincaré-Lyapunov”-like systems of three differential equations." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 25.1 (1986): 165-180. <http://eudml.org/doc/23447>.
@article{Andres1986,
author = {Andres, Ján},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {periodic regime; controllable processes},
language = {eng},
number = {1},
pages = {165-180},
publisher = {Palacký University Olomouc},
title = {On the ``Poincaré-Lyapunov”-like systems of three differential equations},
url = {http://eudml.org/doc/23447},
volume = {25},
year = {1986},
}
TY - JOUR
AU - Andres, Ján
TI - On the ``Poincaré-Lyapunov”-like systems of three differential equations
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1986
PB - Palacký University Olomouc
VL - 25
IS - 1
SP - 165
EP - 180
LA - eng
KW - periodic regime; controllable processes
UR - http://eudml.org/doc/23447
ER -
References
top- Poincaré H., Sur les courbes définies par des équations differentielles, C. R. Acad. Sci. Paris, 94, 1882, 416-418.
- Reissig R., Sansone G., Conti R., Nichtlineare Differentialgleichungen höherer Ordnung, Cremonese, Roma, 1969. (1969) Zbl0172.10801MR0241749
- Krasovskii N. N., On the stability of the solutions of a nonlinear system of three equations with any initial perturbations, (in Russian), Prikl. Mat. Mech., 17, 3, 1953, 339-350. (1953) MR0055522
- Tuzov A. P., Stability problems for a control system, (in Russian), Vestnik LGU, 10, 2, 1955, 43-70. (1955) MR0069351
- Tuzov A. P., On the stability in the whole of a control system, (in Russian), Vestnik LGU, 12, 1, 1957, 57-75. (1957)
- Tuzov A. P., On necessary and sufficient conditions for global stability of a control system, (in Russian), Dokl. Akad. Nauk SSSR, 4, 1960, 101-105. (1960) MR0131631
- Pliss V. A., Investigation of a nonlinear system of three differential equations, (in Russian), Dokl. Akad. Nauk SSSR, 117, 1957, 184-187. (1957) Zbl0127.04601MR0088616
- Pliss V. A., Necessary and sufficient conditions of stability in the whole for a system of three differential equations, (in Russian), Dokl. Akad. Nauk SSSR, 120, 1958, 708-710. (1958) MR0114025
- Pliss V. A., On the Aizerman's problem in the case of a system of three differential equations, (in Russian), Dokl. Akad. Nauk SSSR, 121, 1958, 422-425. (1958) MR0098228
- Pliss V. A., Some problems of stability of motion in the whole, (in Russian), Izdat. Leningrad. Univ., Leningrad, 1958. (1958)
- Pliss V. A., Nonlocal problems of the theory of oscillations, (in Russian), Nauka, Moscow, 1964. (1964) MR0171962
- Reissig R., Über die Stabilität eines Systems von autonomen Differentialgleichungen, Monatsber. Deutsch. Akad. Wiss., 7, 1965, 330-335. (1965) Zbl0148.06902MR0188555
- Reissig R., Das Aisermansche Problem bei einem nichtlinearen System dritter Ordnung, Z. Angew. Math. Mech., 46, 1966, 79-82. (1966) MR0221040
- Reissig R., Über die Stabilität eines Regelungssystems, Math.Nachr., 32, 1966, 63-72. (1966) Zbl0143.11704MR0200547
- Efendiev A. R., Balitinov M. A., On the asymptotic stability in the whole of some nonlinear system, (in Russian), Diff. Urav., 4, 4, 1968. (1968) MR0229923
- Balitinov M. A., Behaviour of solutions in the large of a certain nonlinear system, (in Russian). Diff. Urav., 5, 1969, 254-262. (1969)
- Balitinov M. A., Certain theorems on the global behaviour of solutions of a certain nonlinear system, (in Russian), Ukrain. Mat. Zh., 23, 1971, 56-63. (1971) MR0283317
- Gaishun I. V., On the stability in the large of some optimal control system, (in Russian), Diff. Urav., 6, 5, 1970, 1953-1962. (1970) MR0302267
- Gaishun I. V., On the stability in the large of the motion defined by some nonlinear third order system, (in Russian), Diff. Urav., 5, 12, 1969. (1969)
- Barbashin E. A., The Lyapunov functions, (in Russian), Nauka, Moscow, 1970. (1970)
- Egorov I. G., The stability in the large of the zeгo solution of a certain system of three differential equations, (in Russian), Diff. Urav., 7, 1971, 1960-1966. (1971) MR0289877
- Zaprianov Z., Kalitzova P., On the total stability of certain systems of differential equations of the third order, (in Russian), Theoret. Prilozh. Mech., 2, 1971, 2, 31-37, 4-5. (1971) MR0298148
- Shiriaev V. I., On the stability in the large of a third order system with "its own" nonlinearities in certain special case, (in Russian), Diff. Urav., 9, 1973, 2102-2104. (1973) MR0330675
- Bihari I., Perturbation theory of three-dimensional real linear autonomous systems, Studia Sci. Math. Hung., 1, 1966, 261-295. (1966) Zbl0145.33703MR0206425
- Bihari I., Elbert A., Perturbation theory of three-dimensional real linear autonomous systems, Period. Math. Hung., 4. 4, 1973, 233-302. (1973) Zbl0285.34036MR0350124
- Schneider K. R., Über die periodische Lösung eineг Klasse nicht-linearer autonomer Differentialgleichungssysteme dritter Ordnung, Z. Angew. Math. Mech., 49, 1969, 441-443. (1969) MR0252763
- Schneider K. R., Schranken für den Umfang und die Periode geschlossener Integralkurven von Differentialgleichungssystemen dritter und höherer Ordnung, Z. Angew. Math. Mech., 51, 1971, 149-151. (1971) Zbl0219.34030MR0282002
- Anitova E. S., On the boudedness of solutions of a system of differential equations of the third order, (in Russian), Vestnik LGU, 19, 1, 1964, 5-14. (1964) MR0165193
- Anitova E. S., On the boudedness of solutions of a system of differential equations of the third order, (in Russian), Vestnik LGU, 19, 7, 1964, 149-151. (1964) MR0170074
- Villari G., Soluzioni periodische di una classe di sistemi di tre equazioni differenziali ordinarie, Ann. Mat. Pura Appl., 4, 69, 1965, 191-200. (1965) MR0190453
- Müller W., Hinreichende Bedingungen für die Beschränkheit der Lösungen eines Systems von drei Differentialgleichungen, Abh. Deutsch. Akad. Wiss., Kl. Math. Phys. Techn., 2, Akademie, Berlin, 1967. (1967) MR0214881
- Müller W., Asymptotic behaviour of nonlinear systems of the third order, Proceed. Fourth. Conf. Nonlin. Oscill., Prague, 1967, Academia, Prague, 1968, 215-226. (1967) MR0348207
- Sansone G., Nonlinear differential systems of the third and fourth order, Proceed. Conf. "Equadiff": Differential equations and their applications, Academia, Prague, 1963, 143-165. (1963) Zbl0132.31803MR0168858
- Andres J., Voráček J., Periodic solutions of a certain parametric third order differential equation, Knižn. odb. vӗd. sp.VUT v Brně, B-94, 1983, 7-11. (1983)
- Andres J., Voráček J., Periodic solutions to a nonlinear parametric differential equation of the third order, to appear in Rend. Accad. Naz. Lincei. 77, 3-4, Zbl0607.34039MR0884940
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.