New method for generating general solution of Abel differential equation

Computers and Mathematics with Applications

Volumn 43, Issue 1-2, 2002, Pages 91-94

  Mak, M K ^a   Harko, T ^b  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Abel differential equation; Nonlinear ordinary differential equation; Solutions generating method

Indexed keywords

BOUNDARY CONDITIONS; FUNCTION EVALUATION; INTEGRATION; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; NUMERICAL METHODS;

ABEL DIFFERENTIAL EQUATION; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; SOLUTIONS GENERATING METHOD;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0036141561     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)00274-7     Document Type: Article

References (14)

1. On two coupled Abel-type differential equations arising in a magnetostatic problem
2. On Szebehely's problem for holonomic systems involving generalized potential functions
3. Solutions of Einstein's field equations for static fluid spheres
4. Stewart-Lyth second order approach as an Abel equation for reconstructing inflationary dynamics
5. Multidimensional integrable vacuum cosmology with two curvatures
6. A self-similar inhomogeneous dust cosmology
7. Full causal bulk-viscous cosmological models
8. Exact causal viscous cosmologies
9. Addendum to "Exact causal viscous cosmologies"
10. Two-dimensional dynamical system associated with Abel's nonlinear differential equation
11. Nonlinear superposition rule for Abel's equation
12. The nonlinear superposition theorem of Lie and Abel's differential equations
13. Solutions generating technique for Abel-type nonlinear ordinary differential equations