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 approximating equation Asymptotic Character ASYMPTOTIC REPRESENTATION auxiliary polynomials Birkhoff Bo(x bounded from zero By(x CHAPTER coefficients cofactor determinant Differential Equations Containing discussion following 4.3 e₂ elements equation 2.3 Expansion Problems functions Hence integral equations 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 Pe₂ power series Q₁ Q₂ right-hand members Rodney Taber Hood roots of unity Rudolph E satisfy Second Order solutions of 1.1 SOLUTIONS OF LINEAR sufficiently large thesis THIRD ORDER RELATIVE University of Wisconsin V₂ Value and Expansion vector Vj x,A W(Zim w₁ Wronskian xx(x Y₂ Z₁m Z₂m Zím Zim x,A Zj;m Zjim zým λ² зло Ло