On the Asymptotic Representation of Analytic Solutions of First-Order Algebraic Differential Equations in Sectors

DOI10.2307/1996207zbMath0271.34012OpenAlexW4233325216MaRDI QIDQ3215542

Steven B. Bank

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996207

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary differential equations in the complex domain (34M99) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (2)

An existence theorem for certain solutions of algebraic differential equations in sectors ⋮ A General Representation Theorem for Analytic Solutions of First-Order Algebraic Differential Equations in Sectors

Cites Work

• On the instability theory of differential polynomials
• On solutions having large rate of growth for nonlinear differential equations in the complex domain
• Principal solutions of ordinary differential equations in the complex domain
• On the Algebraic Closure of Certain Partially Ordered Fields
• The Univalence of Functions Asymptotic to Nonconstant Logarithmic Monomials
• A Representation Theorem for Large and Small Analytic Solutions of Algebraic Differential Equations in Sectors
• Asymptotic behavior of solutions and adjunction fields for nonlinear first order differential equations
• Families of Principal Solutions of Ordinary Differential Equations
• Contributions to the asymptotic theory of ordinary differential equations in the complex domain

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