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.-Reference-Cited by-同舟云学术

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.

Published:2016 Issue:14 Volume:49 Page:160-165
ISSN:2405-8963
Container-title:IFAC-PapersOnLine
language:en
Short-container-title:IFAC-PapersOnLine

Author:

Smirnova Vera B.,Utina Natalia V.,Proskurnikov Anton V.

Publisher

Elsevier BV

Subject

Control and Systems Engineering

Reference30 articles.

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2. Asymptotic stability of a class of nonlinear singularly perturbed systems;Chow;J. Franklin Inst.,1978

3. Cole, J.D. (1968). Perturbation Methods in Applied Mathematics. Blaisdell Publ. Comp., Toronto-London.

4. Perturbation Methods in Fluid Mechanics;Dyke,1964

5. Study of phase self-tuning with high order filters by asymptotic methods;Evtyanov;Radiotekhnika,1968

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2. Singular Perturbations of Volterra Equations with Periodic Nonlinearities. Stability and Oscillatory Properties * *The results were obtained at Institute for Problems of Mechanical Engineering of the Russian Academy of Sciences (IPME RAS) and supported by Russian Science Foundation (RSF) grant 16-19-00057;IFAC-PapersOnLine;2017-07

3. Stability and oscillations of singularly perturbed phase synchronization systems with distributed parameters;2016 International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference);2016-06