Some Qualitative Behavior of Solutions of General Class of Difference Equations

Osama Moaaz, Dimplekumar Chalishajar and Omar Bazighifan
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Osama Moaaz: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Dimplekumar Chalishajar: Department of Applied Mathematics, Virginia Military Institute (VMI) 435 Mallory Hall, Lexington, VA 24450, USA
Omar Bazighifan: Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen

Mathematics, 2019, vol. 7, issue 7, 1-12

Abstract: In this work, we consider the general class of difference equations (covered many equations that have been studied by other authors or that have never been studied before), as a means of establishing general theorems, for the asymptotic behavior of its solutions. Namely, we state new necessary and sufficient conditions for local asymptotic stability of these equations. In addition, we study the periodic solution with period two and three. Our results essentially extend and improve the earlier ones.

Keywords: qualitative behavior; general class of difference equations; locally asymptotically stable; period two and three (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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