a retract principle on discrete time scales
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ID: 157442
2006
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Abstract
In this paper we discuss asymptotic behavior of solutions of a class of scalar discrete equations on discrete real time scales. A powerful tool for the investigation of various qualitative problems in the theory of ordinary differential equations as well as delayed differential equations is the retraction method. The development of this method is discussed in the case of the equation mentioned above. Conditions for the existence of a solution with its graph remaining in a predefined set are formulated. Examples are given to illustrate the results obtained.
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| Authors | ;Josef Diblík;Miroslava Růžičková;Barbora Václavíková |
| Journal | zhonghua yi xue za zhi |
| Year | 2006 |
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