24 citations · 89 across the 18 of their papers we have counts for
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Linearization of third-order ordinary differential equations u'''=f(x,u,u',u'') via point transformations
Ahmad Y. Al-Dweik, M. T. Mustafa, F. M. Mahomed +1
The linearization problem by use of the Cartan equivalence method for scalar third-order ODEs via point transformations was solved partially in [1,2]. In order to solve this proble…
Invariant characterization of third-order ODEs that admit a five-dimensional point symmetry Lie algebra
Ahmad Y. Al-Dweik, M. T. Mustafa, F. M. Mahomed
The Cartan equivalence method is applied to provide an invariant characterization of the third-order ordinary differential equation which admits a five-dimensi…
Invariants of third-order ordinary differential equations via fiber preserving transformations
Ahmad Y. Al-Dweik, M. T. Mustafa, H. Azad +1
Bagderina \cite{Bagderina2008} solved the equivalence problem for scalar third-order ordinary differential equations (ODEs), quadratic in the second-order derivative, via point tra…
Higher order self-adjoint operators with polynomial coefficients
H. Azad, A. Laradji, M. T. Mustafa
Algebraic and analytic aspects of self-adjoint operators of order four or more with polynomial coefficients are investigated. As a consequence, a systematic way of constructing suc…
-symmetry criteria for linearization of second order ODEs via point transformations
Ahmad Y. Al-Dweik, M. T. Mustafa, Raed A. Mara'beh +1
An alternative proof of Lie's approach for linearization of scalar second order ODEs is derived using the relationship between -symmetries and first integrals. This relation fur…
On the Linearization of Second-Order Ordinary Differential Equations to the Laguerre Form via Generalized Sundman Transformations
M. Tahir Mustafa, Ahmad Y. Al-Dweik, Raed A. Mara'beh
The linearization problem for nonlinear second-order ODEs to the Laguerre form by means of generalized Sundman transformations (S-transformations) is considered, which has been inv…