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This article is cited in 2 scientific papers (total in 2 papers)
Solution of the operator equation $i\varepsilon dy/dt=A(t)y$ on intervals containing turning points
E. A. Grinina V. A. Fock Institute of Physics, Saint-Petersburg State University
Abstract:
We obtain formal solutions of the equation $i\varepsilon dy/dt=A(t)y$ in the form of complete asymptotic expansions as $\varepsilon\to0$ on intervals containing parabolic or hyperbolic turning points. The highest orders of the power series in $\varepsilon$ for the formal solutions are studied in detail.
Received: 15.04.1999 Revised: 16.09.1999
Citation:
E. A. Grinina, “Solution of the operator equation $i\varepsilon dy/dt=A(t)y$ on intervals containing turning points”, TMF, 122:3 (2000), 357–371; Theoret. and Math. Phys., 122:3 (2000), 298–311
Linking options:
https://www.mathnet.ru/eng/tmf572https://doi.org/10.4213/tmf572 https://www.mathnet.ru/eng/tmf/v122/i3/p357
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