Asymptotic decomposition of systems of higher-order linear differential equations with small parameter for the derivative. (English) Zbl 0611.34009
Translation from Ukr. Mat. Zh. 37, No.2, 226-231 (Russian) (1985; Zbl 0572.34008).
MSC:
| 34A30 | Linear ordinary differential equations and systems |
| 34E99 | Asymptotic theory for ordinary differential equations |
Keywords:
asymptotic decomposition of systems; second order linear differential equations; first order differential equationCitations:
Zbl 0572.34008References:
| [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] | M. I. Shkil, Asymptotic Methods in Differential Equations [in Ukrainian], Vishcha Shkola, Kiev (1971). |
| [3] | N. N. Bogolyubov and Yu. A. Mitropol’skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974). |
| [4] | F. R. Gantmakher, Theory of Matrices, Chelsea Publ. · Zbl 0666.15002 |
| [5] | N. A. Sotnichenko and S. F. Feshchenko, The Asymptotic Decomposition of Systems of Linear Differential Equations in Partial Derivatives [in Russian], Kiev (1976), Preprint Akad. Nauk Ukr. SSR, Inst. Mat. · Zbl 0409.34006 |
| [6] | N. I. Shkil’ and T. K. Meilev, ?On the asymptotic decomposition of systems of second-order linear differential equations with small parameter of integral rank,? in: Tauber-Type Theorems and Differential Equations with Small Parameter [in Russian], Kiev Pedagog. Inst., Kiev (1983), pp. 150-156. |
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