Solving higher order linear differential equations having elliptic function coefficients

DOI10.1145/2608628.2608675zbMath1325.34001OpenAlexW2046580591MaRDI QIDQ3452382

Reinhold Burger

Publication date: 11 November 2015

Published in: Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/2608628.2608675

zbMATH Keywords

linear differential equationselliptic functionsPicard's theoremdoubly periodic functionshyperexponential solutions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Uses Software

• Jordan

Cites Work

• An effective implementation of symbolic-numeric cylindrical algebraic decomposition for quantifier elimination
• Cylindrical algebraic decomposition using validated numerics
• The Jordan Curve Theorem, Formally and Informally
• On Computable Numbers, with an Application to the Entscheidungsproblem
• Definability and decision problems in arithmetic
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