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Turning points for adiabatically perturbed periodic equations |
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| Authors: | Vladimir Buslaev Alain Grigis |
| Institution: | (1) Department of Mathematical Physics, NIIF, Saint-Petersburg State University, 198904 Saint-Petersberg, Russia;(2) Département de Mathématiques CNRS-UMR 7539, Université Paris 13, 99 Avenue Jean-Baptiste Clément, 93430 Villetaneuse, France |
| Abstract: | We make a study of uniform asymptotic solutions of some general adiabatic differential equations on the intervals containing a single turning point or a pair of turning points. We reduce this to the study of models which can be explicitly solved. We apply these results to the case of an adiabatically perturbed differential equation with periodic coefficients. |
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