7277

6783

كارشناسي ارشد

رياضي كاربردي

اصفهان : دانشگاه صنعتي اصفهان

1391

هشت، 102ص.: مصور، جدول، نمودار

ص.ع. به فارسي و انگليسي

رضا مزروعي سبداني

مجيد گازر

21/8/91

رسول عاشقي، محمدرضا رئوفي

1396/09/21

كتابنامه

علوم رياضي

رياضي

1401/04/12

ID6783

به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي

Dynamics of Systems of Rational Di erence Equations in The Plane Javad Taatpoor j taatpoor@math iut ac ir 2012 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 IranSupervisor Dr R Mazrooie Sebdani mazrooei@cc iut ac ir Advisor Dr M Gazor m gazor@cc iut ac ir 2010 MSC 39A22 39A30 39A60 Keywords di erence equation rational system competetive cooperative boundedness convergence monotonicity Abstract Today study of systems of di erence equatins is very important and necessary because theyhave many applications in sciences such as economy biology and natural modeling problems a category of systems of di erence equations is rational systems that consist of a lot systems a great family of these systems are systems of rational di erence equations in the plane Ingeneral a system of rational di erence equations in the plane is systems of the form xn 1 1 1 xn 1 yn A1 B1 xn C1 yn n 0 1 2 y 2 2 xn 2 yn A2 B2 xn C2 yn n 1with non negative parameters 1 1 1 A1 B1 C1 2 2 2 A2 B2 C2 and with arbitrary non negative initial conditions x0 and y0 such that the denominators are always positive Each ofthe 12 parameters of this system is either positive or zero Hence there exist 2401 special casesof systems with positive parameters included in this system The systematic study on this subject have started in 2009 by Garry Ladas and his cooperators This thesis is an extension and generalization of the works done by Ladas and Kulenovic First in the preface part we present a history and some economic and biologic applications of the

رضا مزروعي سبداني

مجيد گازر

رسول عاشقي، محمدرضا رئوفي