Department of Mathematics
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Browsing Department of Mathematics by Author "AKSOY, Aycan"
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Item ON THE DYNAMICS OF A SECOND ORDER NONLINEAR DIFFERENCE EQUATION(2014-07-09) AKSOY, Aycan; TURAN, MehmetIn this thesis, a certain second order fractional difference equation containing two ar bitrary parameters is handled. The issue equation is investigated with aspects of some dynamics structures: the boundedness character and semi-cycle analysis of positive solutions are examined; existence of periodic solutions is studied; local and global stability analysis of the fixed point are performed. This thesis consists of four chapters. In the first chapter, historical information about difference equations, some modelings with them, and some recent studies are given. In the second chapter, basic concepts and known results concerning the sequences and difference equations are provided. Main results are presented in Chapter 3. A short conclusion is written down in the last chapter.