4 citations · 10 across the 12 of their papers we have counts for
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A Kamenev-type oscillation result for a linear --order fractional differential equation
Dumitru Baleanu, Octavian G. Mustafa, Donal O'Regan
We investigate the eventual sign changing for the solutions of the linear equation , , when the functional coefficient satisfies…
On the Nagumo uniqueness theorem
Octavian G. Mustafa, Donal O'Regan
By a convenient reparametrisation of the integral curves of a nonlinear ordinary differential equation (ODE), we are able to improve the conclusions of the recent contribution [A.…
A Nagumo-like uniqueness result for a second order ODE
Octavian G. Mustafa
In this note, we present an extension to second order nonlinear ordinary differential equations (ODEs) of the Nagumo-like uniqueness criterion for first order ODEs established in […
Oscillatory solutions of some perturbed second order differential equations
Octavian G. Mustafa
We discuss the occurrence of oscillatory solutions which decay to 0 as for a class of perturbed second order ordinary differential equations. As opposed to other resu…
On a local theory of asymptotic integration for nonlinear ordinary differential equations
Octavian G. Mustafa, Ravi P. Agarwal
By revisiting an asymptotic integration theory of nonlinear ordinary differential equations due to J.K. Hale and N. Onuchic [Contributions Differential Equations 2 (1963), 61--75],…
Asymptotically linear solutions of differential equations via Lyapunov functions
Octavian G. Mustafa, Cemil Tunc
We discuss the existence of solutions with oblique asymptotes to a class of second order nonlinear ordinary differential equations by means of Lyapunov functions. The approach is n…