Global Behavior of Certain Nonautonomous Linearizable Three Term Difference Equations
| Autor: | Mustafa R. S. Kulenović, E. J. Janowski |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
State variable
Pure mathematics difference equation identity linear nonautonomous periodic stability solution Differential equation General Mathematics lcsh:Mathematics lcsh:QA1-939 Stability (probability) Term (time) Identity (mathematics) Computer Science (miscellaneous) Engineering (miscellaneous) Mathematics |
| Zdroj: | Mathematics; Volume 6; Issue 5; Pages: 79 Mathematics, Vol 6, Iss 5, p 79 (2018) |
| ISSN: | 2227-7390 |
| DOI: | 10.3390/math6050079 |
| Popis: | We investigate the nonautonomous difference equation with real initial conditions and coefficients g i , i = 0 , 1 which are in general functions of n and/or the state variables x n , x n − 1 , … , and satisfy g 0 + g 1 = 1 . We also obtain some global results about the behavior of solutions of the nonautonomous non-homogeneous difference equation where g i , i = 0 , 1 , 2 are functions of n and/or the state variables x n , x n − 1 , … , with g 0 + g 1 = 1 . Our results are based on the explicit formulas for solutions. We illustrate our results by numerous examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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