The ЬеЬауіог of partial matryzant pulse system with quickly oscillating coefficients іп the initial angular data and the small parameter є has been researched.
1. Petrishyn R. I., Sopronyuk T.M. Exponential estimate of the fundamental matrix of a linear impulse system // Ukr. Mat. Journal - 2001.- 53, No. 8.- P. 1101-1108.
2. Samoilenko A.M., Petrishyn R.I. Mathematical aspects of the theory of nonlinear oscillations.— K.: Naukova Dumka, 2004.— 474 p.
3. Petrishyn R. I., Sopronyuk T.M. Averaging of the initial and boundary value problems for one class of oscillating impulse systems // Nonlinear oscillations.- 2006.- 9, No. 1.- P. 68-84.
4. Petrishyn R.I., Sopronyuk T. M. On the fundamental matrix of a linear system with rapidly oscillating coefficients // Nonlinear oscillations.— 2000.— 3, No. 4.— P.497—504.
5. Samoilenko A.M., Perestyuk N.A. Differential equations with impulse action.—
K.: Vyscha Shkola, 1987.— 288 p.
6. Petrishyn R.I., Sopronyuk T. M. On the matricant of a linear system with impulse action // Scientific Bulletin of Uzhgorod University. Ser. Math. and Inform. / — Uzhgorod: UzhNU, 2010. — Issue 21.—P. 102-118.
7. Samoilenko A.M., Petrishyn R.I., Sopronyuk T.M. Construction of an integral manifold of a multi-frequency oscillatory system with fixed moments of impulse action // Ukr. Mat. Journal. — 2003. - 55, No. 5. — P. 641 — 662.
8. Samoilenko A.M. On the smoothness in the parameter of the invariant torus of a quasi-linear system of differential equations // Ukr. Mat. Journal. — 1986. — 38, No. 5. — P. 605—618.
9. Petrishyn R.I., Sopronyuk T.M. Properties of the matricant of a linear impulse system with fixed moments of impulse action // Nonlinear Oscillations. — 2011. — 14, No. 1. — P. 85—92.
- ACS Style
- Petryshyn, R.; Sopronyuk, T. On the dependence of the matrixant of a linear impulse system with rapidly oscillating coefficients on the parameters. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Petryshyn R, Sopronyuk T. On the dependence of the matrixant of a linear impulse system with rapidly oscillating coefficients on the parameters. Bukovinian Mathematical Journal. 2018; 1(4).
- Chicago/Turabian Style
- Roman Petryshyn, Tetyana Sopronyuk. 2018. "On the dependence of the matrixant of a linear impulse system with rapidly oscillating coefficients on the parameters". Bukovinian Mathematical Journal. 1 no. 4.