Approximate Solution of Linear Differential Equations

Carl M. Bender and Steven A. Orszag
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Carl M. Bender: Washington University, Department of Physics
Steven A. Orszag: Yale University, Department of Mathematics

Chapter Chapter Three in Advanced Mathematical Methods for Scientists and Engineers I, 1999, pp 61-145 from Springer

Abstract: Abstract The theory of linear differential equations is so powerful that one can usually predict the local behavior of the solutions near a point x 0 without knowing how to solve the differential equation. It suffices to examine the coefficient functions of the differential equation in the neighborhood of x 0.

Keywords: Singular Point; Linear Differential Equation; Leading Behavior; Asymptotic Series; Asymptotic Relation (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-1-4757-3069-2_3

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