Periodic Solutions of Singularly Perturbed Equations Arising from Gyroscopic Systems

SIAM Journal on Applied Mathematics ◽

10.1137/0124059 ◽

1973 ◽

Vol 24 (4) ◽

pp. 562-574 ◽

Author(s):

M. Balachandra

Keyword(s):

Periodic Solutions ◽

Singularly Perturbed ◽

Singularly Perturbed Equations ◽

Gyroscopic Systems

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Bounded and almost periodic solutions of singularly perturbed equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(61)90003-8 ◽

1961 ◽

Vol 3 (1) ◽

pp. 18-24 ◽

Author(s):

J.K Hale ◽

G Seifert

Keyword(s):

Periodic Solutions ◽

Singularly Perturbed ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Singularly Perturbed Equations

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Periodic solutions of some singularly-perturbed equations of the parabolic type

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(85)90125-9 ◽

1985 ◽

Vol 25 (2) ◽

pp. 182-186

Author(s):

A.B. Vasil'eva ◽

V.T. Volkov

Keyword(s):

Periodic Solutions ◽

Parabolic Type ◽

Singularly Perturbed ◽

Singularly Perturbed Equations

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Decomposition of Traveling Wave Existence Problem for Singularly Perturbed Equations

2020 International Conference on Information Technology and Nanotechnology (ITNT) ◽

10.1109/itnt49337.2020.9253204 ◽

2020 ◽

Author(s):

Vladimir Sobolev

Keyword(s):

Traveling Wave ◽

Singularly Perturbed ◽

Existence Problem ◽

Singularly Perturbed Equations

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On Periodic Solutions of Singularly Perturbed Integro-differential Volterra Equations with Periodic Nonlinearities**The work was partly supported by RFBR (14-08-01015) and St. Petersburg State University, grant 6.38.230.2015. Theorem 1 is obtained under sole support of Russian Science Foundation grant 16-19-00057 at Institute for Problems of Mechanical Engineering RAS.

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2016.07.1002 ◽

2016 ◽

Vol 49 (14) ◽

pp. 160-165 ◽

Author(s):

Vera B. Smirnova ◽

Natalia V. Utina ◽

Anton V. Proskurnikov

Keyword(s):

Periodic Solutions ◽

Mechanical Engineering ◽

Singularly Perturbed ◽

Volterra Equations ◽

State University ◽

Russian Science

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New methods for proving the existence and stability of periodic solutions in singularly perturbed delay systems

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543807040086 ◽

2007 ◽

Vol 259 (1) ◽

pp. 101-127 ◽

Author(s):

A. Yu. Kolesov ◽

E. F. Mishchenko ◽

N. Kh. Rozov

Keyword(s):

Periodic Solutions ◽

Singularly Perturbed ◽

Delay Systems ◽

New Methods ◽

Existence And Stability

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Periodic solutions of a singularly perturbed delay differential equation

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2008.07.019 ◽

2008 ◽

Vol 237 (24) ◽

pp. 3307-3321 ◽

Author(s):

Mohit H. Adhikari ◽

Evangelos A. Coutsias ◽

John K. McIver

Keyword(s):

Differential Equation ◽

Periodic Solutions ◽

Delay Differential Equation ◽

Singularly Perturbed ◽

Delay Differential

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Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations

The Scientific World JOURNAL ◽

10.1155/2013/301609 ◽

2013 ◽

Vol 2013 ◽

pp. 1-4

Author(s):

Gabil M. Amiraliyev ◽

Aysenur Ucar

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Periodic Solutions ◽

Singularly Perturbed ◽

Asymptotic Bounds ◽

Time Periodic Solutions ◽

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Cr-Inclination Theorems for Singularly Perturbed Equations

Journal of Differential Equations ◽

10.1006/jdeq.1998.3577 ◽

1999 ◽

Vol 155 (1) ◽

pp. 133-152 ◽

Author(s):

Pavol Brunovský

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Equations

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Stability of the periodic solutions of incompletely symmetrical quasilinear gyroscopic systems in critical cases

Soviet Applied Mechanics ◽

10.1007/bf00882852 ◽

1976 ◽

Vol 12 (4) ◽

pp. 409-413

Author(s):

E. Ya. Gordon

Keyword(s):

Periodic Solutions ◽

Gyroscopic Systems

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A regular approach to a problem on the attractors of singularly perturbed equations

Journal of Soviet Mathematics ◽

10.1007/bf01102637 ◽

1992 ◽

Vol 62 (2) ◽

pp. 2664-2689 ◽

Author(s):

I. N. Kostin

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Equations

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