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math.CA2009
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],…
math.CA2009
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…