Algorithmic solution of Abel's equation

DOI10.1007/BF02684449zbMath0906.34002MaRDI QIDQ1266308

K. Appert

Publication date: 16 February 1999

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

equivalencecomputer algebra algorithmsfunctional decompositionAbel's equationLie's symmetry

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (2)

New general solutions to the Abel equation of the second kind using functional transformations ⋮ On the solutions of Cauchy problem for two classes of semi-linear pseudo-differential equations over \(p\)-adic field

Cites Work

• A rational function decomposition algorithm by near-separated polynomials
• Symmetry Analysis of Abel's Equation
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