An existence theorem for certain solutions of algebraic differential equations in sectors

zbMath0307.34005MaRDI QIDQ1218077

Steven B. Bank

Publication date: 1975

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1974__51__67_0

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)

Cites Work

• On the instability theory of differential polynomials
• On solutions having large rate of growth for nonlinear differential equations in the complex domain
• On the Asymptotic Representation of Analytic Solutions of First-Order Algebraic Differential Equations in Sectors
• On the Algebraic Closure of Certain Partially Ordered Fields
• 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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