Reduction and Classification of Certain Turning Point Problems for Systems |
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2k+p actually analytic application assume Assumption asymptotic expansion B₁ becomes choice coefficients complete component constant converge dealing define dependent determine differential equation dy/dz eigenvalues enables equivalent example exists fact FORMAL REDUCTION formal series functions further give given Hence holomorphic for 121 holomorphically similar implies independent variable indicated known lead matrix lemma linear loss mentioned neighborhood nonsingular null space obtained occurring order scalar equation P₁(z parameters particular holomorphic solution pointwise polynomials possesses problems of type proof proof of theorem prove reduction REDUCTION AND CLASSIFICATION remains requirement respect restriction result right hand side satisfied second order systems seen series solution shown Sibuya singular solve sufficiently small Suppose system of differential term theorem thesis transformation turning point problems University of Wisconsin vector Wasow written zero