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PARTIALLY IRREGULAR SOLUTIONS OF LINEAR ALMOST PERIODIC DIFFERENTIAL SYSTEMS IN THE CRITICAL RESONANCE CASE

Abstract

The necessary and sufficient conditions, under which a linear almost periodic differential system has partially irregular almost periodic solutions in the critical resonance case, were obtained. 

About the Author

M. S. Belokursky
Francisk Skorina Gomel State University, Gomel
Belarus

Senior Lecturer

104, Sovetskaya Str., 246019



References

1. Fink A. M. Almost Periodic Differential Equations. Berlin, Springer, 1974. 336 p. doi.org/10.1007/bfb0070324

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3. Demenchuk A. K. Partially irregular almost periodic solutions of ordinary differential systems. Mathematica Bohemica, 2001, vol. 126, no. 1, pp. 221–228.

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5. Demenchuk A. K. On the existence of almost periodic solutions of linear differential systems in noncritical case. Vestsі Natsyyanal’nai akademіі navuk Belarusі. Seryya fіzіka-matematychnykh navuk = Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series, 2003, no. 3, pp. 11–16 (in Russian).

6. Belokurskii M. S. Irregular solutions of linear almost periodic differential systems in resonant case. Trudy Instituta Matematiki = Proceedings of the Institute of Mathematics, 2013, vol. 21, no. 2, pp. 12–18 (in Russian).

7. Pontryagin L. S. Ordinary differential equations. Moscow, Nauka Publ., 1982. 331 p. (in Russian).


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ISSN 1561-8323 (Print)
ISSN 2524-2431 (Online)