On the Growth of Solutions of Algebraic Differential Equations

DOI10.2307/1998813zbMath0389.34030OpenAlexW4235283004MaRDI QIDQ4171020

Steven B. Bank

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1998813

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (5)

On the growth of real solutions of second-order algebraic differential equations ⋮ On meromorphic solutions of some algebraic partial differential equations on \(C^n\) ⋮ Some representation theorems for solutions of nonlinear second-order differential equations ⋮ On the growth of solutions of first and second order algebraic differential equations ⋮ On the growth of solutions of second order algebraic differential equations

Cites Work

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• Some results on analytic and meromorphic solutions of algebraic differential equations
• Subfields that are algebraically closed in the field of all meromorphic functions
• On majorants for solutions of algebraic differential equations in regions of the complex plane
• On solutions of algebraic differential equations whose coefficients are analytic functions in the unit disk
• The rate of increase of real continuous solutions of algebraic differential-difference equations of the first order
• On Determining the Growth of Meromorphic Solutions of Algebraic Differential Equations Having Arbitrary Entire Coefficients
• The Rate of Increase of Real Continuous Solutions of Certain Algebraic Functional Equations
• On the Algebraic Closure of Certain Partially Ordered Fields
• Asymptotic behavior of solutions and adjunction fields for nonlinear first order differential equations
• On analytic and meromorphic functions satisfying nth order algebraic differential equations in regions of the plane.
• A Simple Example for a Theorem of Vijayaraghavan
• Some results concerning the behavior at infinity of real continuous solutions of algebraic difference equations
• On real continuous solutions of algebraic difference equations

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