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. BelokurskyBelarus
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
2. Kurtsveil’ Ya., Veivoda O. On the periodic and almost periodic solutions of systems of ordinary differential equations. Czechoslovak Mathematical Journal, 1955, vol. 5, no. 3, pp. 362–370.
3. Demenchuk A. K. Partially irregular almost periodic solutions of ordinary differential systems. Mathematica Bohemica, 2001, vol. 126, no. 1, pp. 221–228.
4. Demenchuk A. K. Asynchronous fluctuations in differential systems. The conditions of existence and control. Saarbrucken, Lambert Academic Publishing, 2012. 186 p. (in Russian).
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).