Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840422 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 9 Pages |
Abstract
In the paper the celebrated Ważewski retract method is developed for planar dynamic equations on an arbitrary time scale without a restrictive assumption that the whole boundary of a set of constraints, where we look for solutions, is a set of egress points. As a consequence, some recently published results are essentially generalized. One transparent example illustrating the main theorem is presented. The results are new and more general even for ordinary difference equations.
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Authors
Grzegorz Gabor, Sebastian Ruszkowski,