## Asymptotic expansions for ordinary differential equations- Important scientific and scholarly titles previously unavailable- Sturdy hardcover volumes with sewn bindings and laminated covers- Prices well below those of comparable publications |

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### Contents

Some Basic Properties of Linear Differential Equations in the Complex Domain | 1 |

The Basio Existence Theorem and its Consequences | 3 |

Circuit Relations About Singular Points | 9 |

Copyright | |

46 other sections not shown

### Common terms and phrases

analytic function assume Assumption asymptotic expansion asymptotic power series asymptotic representation asymptotic series asymptotic solution boundary conditions boundary layer boundary value problem bounded calculated column components convergent corresponding defined denote depends determined diagonal matrix differen eigenvalues entries exists exponential factorial series follows formal power series formal series formula fundamental matrix fundamental matrix solution fundamental system Hence holomorphic illustrations implies independent inequality infinity integral equation invariant factors leading matrix leading term left member Lemma linear differential equations matrix function method multiple neighborhood nonlinear nonsingular notation obtained parameter path of integration periodic solution polynomial possesses proof of Theorem properties proved recursive reduced problem region regular singular point relation right member satisfied scalar differential equation Section sector series expansion series in powers shearing transformation shifting matrix Sibuya singular perturbation solved subsector theory tial equation uniformly unique valid variable vector function Wasow x-plane