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 Mathematical approximating equation Asymptotic Character ASYMPTOTIC REPRESENTATION auxiliary polynomials Bo(x Boundary Value bounded from zero By(x CHAPTER coefficients cofactor determinant Differential Equations Containing discussion following 4.3 Doctor of Philosophy dx dx e₂ elements equation 2.3 Expansion Problems ferentiable formal solutions functions Hence inequality Kenmore Km{y LARGE PARAMETER leading term least upper bound left-hand member linear combination Linear Differential Equations LINEAR ORDINARY DIFFERENTIAL linearly independent matrix non-singular ORDINARY DIFFERENTIAL EQUATIONS Ordinary Linear Differential power series Q₂ right-hand members Rodney Taber Hood roots of unity Rudolph Rudolph E satisfy solutions of 1.1 SOLUTIONS OF LINEAR ẞy(x subscripts sufficiently large thesis THIRD ORDER RELATIVE undetermined University of Wisconsin V₁ V₂ Value and Expansion vector W(Zim Wronskian Zim x,A Zj;m Zjim Zµm λω Зло Ло