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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.CA2008
On the oscillatory integration of some ordinary differential equations
Octavian G. Mustafa
Conditions are given for a class of nonlinear ordinary differential equations x''(t)+a(t)w(x)=0, t>=1, which includes the linear equation to possess solutions x(t) with prescribed…