Master'sOpen Access

Oscillation of first-order dynamic equations on time scales

2008
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Advisor: Yrd. Doç. Dr. Özkan Öcalan

Abstract (EN)

Difference equations and differential equations have been a focus of interest, because there is a very large application field of this area.However, there are so many questions that neither difference equations nor differential equations fail to give reply, and most of such equations found their answers by the means of dynamic equations, which is a very new concept.In the first section of the thesis, we tread some results in the literature that are given for difference equations and differential equations; in the second section of the thesis, we introduce the concept of time scales of which dynamic equations are defined on; in the third section, we study oscillatory behaviour of dynamic equations including a positive coefficient, and in the fourth section, we study the oscillatory behaviour of neutral dynamic equations including positive and negative coefficients.And in the last section of the thesis, we compare our newly obtained results with the existing results in the literature.

Author

Dr. Başak Karpuz

How to Cite

Başak Karpuz (Master Thesis). Oscillation of first-order dynamic equations on time scales, 2008, Afyon Kocatepe University, Matematik Bölümü.

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