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On the oscillatory integration of some ordinary differential equations

Octavian G. Mustafa (2008)

Archivum Mathematicum

Conditions are given for a class of nonlinear ordinary differential equations x ' ' + a ( t ) w ( x ) = 0 , t t 0 1 , which includes the linear equation to possess solutions x ( t ) with prescribed oblique asymptote that have an oscillatory pseudo-wronskian x ' ( t ) - x ( t ) t .

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