Asymptotic splittig of systems of differential equations of second order with slowly varying and oscillating coefficients. (English. Russian original) Zbl 0717.34054
Ukr. Math. J. 40, No. 5, 548-550 (1988); translation from Ukr. Mat. Zh. 40, No. 5, 642-644 (1988).
See the review in Zbl 0667.34073.
MSC:
| 34E05 | Asymptotic expansions of solutions to ordinary differential equations |
Citations:
Zbl 0667.34073References:
| [1] | S. F. Feshchenko, N. I. Shkil’, and L. D. Nikolenko, Asymptotic Methods in the Theory of Linear Differential Equations [in Russian], Naukova Dumka, Kiev (1966). · Zbl 0141.28004 |
| [2] | N. I. Shkil’, Asymptotic Methods in Differential Equations [in Ukrainian], Vishcha Shkola, Kiev (1971). |
| [3] | Yu. L. Daletskii and M. G. Krein, Stability of Solutions of Differential Equations in a Banach Space [in Russian], Nauka, Moscow (1969). |
| [4] | N. A. Sotnichenko and S. F. Feshchenko, Asymptotic Splitting of Systems of Linear Partial Differential Equations [in Russian], Preprint No. 78.34, Inst. Matematiki Akad. Nauk Ukr. SSR, Kiev (1978). · Zbl 0437.34004 |
| [5] | N. I. Shkil’ and V. A. Kushnir, ?Asymptotic splitting of systems of linear differential equations of higher orders with a small parameter multiplying the derivative,? Ukr. Mat. Zh.,37, No. 2, 226-231 (1985). · Zbl 0611.34009 · doi:10.1007/BF01059718 |
| [6] | F. R. Gantmacher, Theory of Matrices [in Russian], Nauka, Moscow (1967). · Zbl 0085.01001 |
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