7274

6780

كارشناسي ارشد

رياضي كاربردي

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

1391

هشت، 111ص.: مصور، جدول، نمودار

ص.ع. به فارسي و انگليسي

رضا مزروعي سبداني

محمدرضا رئوفي

21/8/91

مجيد گازر، رسول عاشقي

1396/09/21

كتابنامه

علوم رياضي

رياضي

ID6780

به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي

Forbidden Set and Global Behaviours of Some Rational Di erence Equations Maryam Jafari Khanghahi m jafarikhanghahi@math iut ac ir 2012 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Reza Mazrooei Sebdani mazrooei@cc iut ac ir Advisor Dr Mohammad Reza Raoo Raoo @cc iut ac ir 2010 MSC 39A22 39A23 39A30 39A60 Keywords Rational di erence equations Forbidden set Stability Periodicity Abstract This thesis is based on the works done in 2 9 23 In recent years rational di erenceequations have attracted the attention of many researchers for many reasons On the onehand they are examples of nonlinear equations whose dynamics present complete and richdynamics On the other hand rational equations frequently appear in some biological models and hence their study is of interest due to their applications A good example of both factsis Ricatti di erence equations The Ricatti equations is very well known to have very richdynamics The rst order Riccati equation has been studied thoroughly in 13 14 16 17 In this thesis we study the global behaviours of all solutions of the second order rationaldi erence equations It is associated with a third order linear di erence equation Thisassociation and other features are used to study the global behaviour of solutions There mayexist points whose in nite iteration of the riccati equation is not well de ned Therefore theset of oll sush points are called forbidden set In order to determine the global behaviourof all solutions of second order Ricatti equation it is necessary to determine forbidden set

رضا مزروعي سبداني

محمدرضا رئوفي

مجيد گازر، رسول عاشقي