New periodic and quasi-periodic motions of a relativistic particle under a planar central force field with applications to scalar boundary periodic problems∗
نویسنده
چکیده
We consider a relativistic particle under the action of a time-periodic central force field in the plane. Assuming an attractive type condition on some neighborhood of infinity there are many subharmonic and quasiperiodic motions. Moreover, the obtained information allows to give applications for many scalar problems involving the relativistic operator. MSC 2010 Classification : 34C25, 34B16, 70F15, 83A05
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تاریخ انتشار 2013