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On exponentially small terms of solutions to nonlinear ordinary differential equations
Methods and Applications of Analysis
The subject of the paper is exponential asymptotics, or in the other terminology, "asymptotics beyond all orders", to solutions of nonlinear ordinary differential equations. We present expressions for exponential corrections to the power series asymptotics of solutions under some generic assumptions on a given equation. We also discuss relations between exponential corrections and analytic properties of the Borel transform of the formal asymptotic series. In particular, we consider the Stokesdoi:10.4310/maa.1994.v1.n1.a5 fatcat:wysqg6n5hrbujp5we46j6davpq