New applications of Picard's successive approximations

DOI10.1016/j.bulsci.2011.03.006zbMath1268.34181OpenAlexW2067617174MaRDI QIDQ554230

Janne Gröhn

Publication date: 29 July 2011

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2011.03.006

zbMATH Keywords

linear differential equationssuccessive approximationsorder of growthgrowth of solutionsiterated order of growth

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (6)

Second-order linear differential equations with solutions in analytic function spaces ⋮ Nonlinear complex differential equations with solutions in some function spaces ⋮ On oscillation of solutions of linear differential equations ⋮ Linear differential equations with solutions in the growth space H_\omega^\infty ⋮ Converse growth estimates for ODEs with slowly growing solutions ⋮ Linear differential equations with solutions lying in weighted Fock spaces

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• Linear differential equations in the unit disc with analytic solutions of finite order
• The possible orders of solutions of linear differential equations with polynomial coefficients
• Linear Differential Equations and Logarithmic Derivative Estimates
• Linear Differential Equations with Solutions in the Dirichlet Type Subspace of the Hardy Space

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