Application of group analysis to classification of systems of three second-order ordinary differential equations

S. Suksern; S. Moyo; S. V. Meleshko

doi:10.1002/mma.3430

Application of group analysis to classification of systems of three second-order ordinary differential equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3430 ◽

2015 ◽

Vol 38 (18) ◽

pp. 5097-5113 ◽

Cited By ~ 3

Author(s):

S. Suksern ◽

S. Moyo ◽

S. V. Meleshko

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Group Analysis ◽

Second Order

Download Full-text

Group classification of systems of two linear second-order stochastic ordinary differential equations

10.1063/1.5125077 ◽

2019 ◽

Author(s):

T. G. Mkhize ◽

G. F. Oguis ◽

K. Govinder ◽

S. Moyo ◽

S. V. Meleshko

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Group Classification ◽

Second Order ◽

Stochastic Ordinary Differential Equations

Download Full-text

On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.08.033 ◽

2014 ◽

Vol 410 (1) ◽

pp. 341-347 ◽

Cited By ~ 7

Author(s):

S.V. Meleshko ◽

S. Moyo ◽

G.F. Oguis

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Group Classification ◽

Second Order ◽

Constant Coefficients

Download Full-text

ON THE LIMIT-POINT, LIMIT-CIRCLE CLASSIFICATION OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS

The Quarterly Journal of Mathematics ◽

10.1093/qmath/24.1.531 ◽

1973 ◽

Vol 24 (1) ◽

pp. 531-535 ◽

Cited By ~ 12

Author(s):

M. S. P. EASTHAM ◽

M. L. THOMPSON

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Limit Point ◽

Second Order ◽

Limit Circle

Download Full-text

Complete group classification of systems of two nonlinear second-Order ordinary differential equations of the form y′′=F(y)

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2016.08.014 ◽

2017 ◽

Vol 44 ◽

pp. 318-333 ◽

Cited By ~ 1

Author(s):

G.F. Oguis ◽

S. Moyo ◽

S.V. Meleshko

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Group Classification ◽

Second Order ◽

Complete Group

Download Full-text

On group classification of normal systems of linear second-order ordinary differential equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.09.023 ◽

2015 ◽

Vol 22 (1-3) ◽

pp. 1002-1016 ◽

Cited By ~ 1

Author(s):

S.V. Meleshko ◽

S. Moyo

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Group Classification ◽

Second Order

Download Full-text

Complete group classification of systems of two linear second-order ordinary differential equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2013.04.012 ◽

2013 ◽

Vol 18 (11) ◽

pp. 2972-2983 ◽

Cited By ~ 11

Author(s):

S. Moyo ◽

S.V. Meleshko ◽

G.F. Oguis

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Group Classification ◽

Second Order ◽

Complete Group

Download Full-text

Cartan’s method of equivalence and the classification of second-order ordinary differential equations

Differential Geometry: The Interface between Pure and Applied Mathematics - Contemporary Mathematics ◽

10.1090/conm/068/924811 ◽

1987 ◽

pp. 133-141 ◽

Cited By ~ 1

Author(s):

N. Kamran ◽

W. F. Shadwick

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Order

Download Full-text

Complete group classification of systems of two linear second-order ordinary differential equations: the algebraic approach

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3193 ◽

2014 ◽

Vol 38 (9) ◽

pp. 1824-1837 ◽

Cited By ~ 11

Author(s):

T. G. Mkhize ◽

S. Moyo ◽

S. V. Meleshko

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Algebraic Approach ◽

Group Classification ◽

Second Order ◽

Complete Group

Download Full-text

Group classification of second-order delay ordinary differential equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2009.06.013 ◽

2010 ◽

Vol 15 (6) ◽

pp. 1444-1453 ◽

Cited By ~ 11

Author(s):

P. Pue-on ◽

S.V. Meleshko

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Group Classification ◽

Second Order

Download Full-text

Group classification of projective type second-order ordinary differential equations

Journal of Applied and Industrial Mathematics ◽

10.1134/s1990478916010051 ◽

2016 ◽

Vol 10 (1) ◽

pp. 37-50

Author(s):

Yu. Yu. Bagderina

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Group Classification ◽

Second Order ◽

Projective Type

Download Full-text