New general solutions to the Abel equation of the second kind using functional transformations

DOI10.1016/j.amc.2012.02.003zbMath1254.34002OpenAlexW1978382369MaRDI QIDQ440718

J. Herrera, H. S. Yoon

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.003

zbMATH Keywords

differential equationsAbel equationexact general solutionfunctional transformations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (5)

FracSym: automated symbolic computation of Lie symmetries of fractional differential equations ⋮ First integrals and solutions for a class of third-order nonlinear autonomous differential equations ⋮ Integrable Abel equations and Vein's Abel equation ⋮ Exact solutions of the Burgers-Huxley equation via dynamics ⋮ On the solutions of Cauchy problem for two classes of semi-linear pseudo-differential equations over \(p\)-adic field

Cites Work

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• Relativistic dissipative cosmological models and Abel differential equation
• On the solution of the Abel equation of the second kind by the shifted Chebyshev polynomials
• Stable inversion of Abel equations: application to tracking control in DC-DC nonminimum phase boost converters
• New exact general solutions of Abel equation of the second kind
• Algorithmic solution of Abel's equation
• New method for generating general solution of Abel differential equation
• Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs I: Abel's equations

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