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Title: On the method of Esclangon (English)
Author: Andres, Ján
Author: Turský, Tomáš
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 35
Issue: 1
Year: 1996
Pages: 7-20
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Category: math
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MSC: 34A30
MSC: 34C11
MSC: 34D05
MSC: 34D40
idZBL: Zbl 0974.34030
idMR: MR1485038
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Date available: 2009-01-29T15:48:47Z
Last updated: 2012-05-03
Stable URL: http://hdl.handle.net/10338.dmlcz/120336
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Reference: [A1] Andres J.: Lagrange stability of higher-order analogy of damped pendulum equations.Acta Univ. Palacki. Olomuc., Fac. rer. nat. 106, Phys. 31 (1992), 154-159. Zbl 0823.70018
Reference: [A2] Andres J.: On the problem of Hurwitz for shifted polynomials.Acta Univ. Palacki. Olomuc., Fac. rer. nat. 106, Phys. 31 (1992), 160-164 (Czech).
Reference: [AT] Andres J., Turský T.: Asymptotic estimates of solutions and their derivatives of nth-order nonhomogeneous ordinary differential equations with constant coefficients.Discussiones Math. 16, 1 (1996). MR 1429037
Reference: [AV] Andres J., Vlček V.: Asymptotic behaviour of solutions to the n-th order nonlinear differential equation under forcing.Rend. Ist. Mat. Univ. Trieste 21, 1 (1989), 128-143. Zbl 0753.34020, MR 1142529
Reference: [BVGN] Bylov B. F., Vinograd R. E., Grobman D. M., Nemytskii V. V.: Theory of Liapunov Exponents.Nauka, Moscow, 1966 (Russian).
Reference: [C] Cesari L.: Asymptotic Behavior and Stability Problems in Ordinary Differetial Equations.Springer, Berlin, 1959. MR 0118904
Reference: [E] Esclangon E.: Sur les intégrales bornées d’une équation différentielle linéaire.C R. Ac. de Sc., Paris 160 (1915), 775-778.
Reference: [HM] Howard J. E., Mackey R. J.: Calculation of linear stability boundaries for equilibria of Hamiltonian systems.Phys. Lett. A 122, 6, 7 (1987), 331-334. MR 0897488
Reference: [K] Koutna M.: Asymptotic properties of solutions of the fifth-order nonhomogenons differential equations with constant coefficients.Mgr. Thesis, Faculty of Science, Palacký University, Olomouc, 1993 (Czech).
Reference: [KBK] Krasnoseľskii M. A., Burd V. Sh., Kolesov, Yu. S.: Nonlineаr Almost Periodic Oscillаtions.Nauka, Moscow, 1970 (Russian).
Reference: [L] Levitan B. M.: Almost-Periodic Functions.GITTL, Moscow, 1953 (Russian). Zbl 1222.42002, MR 0060629
Reference: [P] Perron O.: Algebrа II (Theorie der аlgebrаischen Gleichungen).W. de Gruyter & Co., Berlin-Leipzig, 1933.
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