On the Asymptotic Representation of the Solutions of Linear Ordinary Differential Equations of the Third Order Relative to a Large Parameter |
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algebraic equation American appear assumed ASYMPTOTIC REPRESENTATION auxiliary polynomials Birkhoff Boundary bounded CHAPTER Character coefficients cofactor complex constant corresponding defined depends derivatives determinant e₂ elements equal equation 2.3 expansion expressed factor formally functions George given Hence hold independent inequality integral Km y Langer LARGE PARAMETER left-hand member Linear Differential Equations Mathematical matrix method namely obtained Ordinary Linear Differential particular Point positive powers problem quantities relation removed represented requirement respect roots satisfy shown solutions solutions of 1.1 solved subscripts sufficiently large term thesis THIRD ORDER tions transformation undetermined University of Wisconsin upper bound V₂ values vector W₂ written Wronskian zero Zim x,A Zjim λ² зло