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Non‐autonomous homogeneous rational difference equations of degree one: convergence and monotone solutions for second and third order case
Authors:Reza Mazrooei‐Sebdani
Institution:Department of Mathematical Sciences, Isfahan University of Technology, , Isfahan, 84156‐83111 Iran
Abstract:Consider the non‐autonomous equations: urn:x-wiley:1704214:media:mma2810:mma2810-math-0001 urn:x-wiley:1704214:media:mma2810:mma2810-math-0002 urn:x-wiley:1704214:media:mma2810:mma2810-math-0003 where urn:x-wiley:1704214:media:mma2810:mma2810-math-0004 and also urn:x-wiley:1704214:media:mma2810:mma2810-math-0005 These are some non‐autonomous homogeneous rational difference equations of degree one. A reduction in order is consi‐dered. Convergence and monoton character of positive solutions are studied. Copyright © 2013 John Wiley & Sons, Ltd.
Keywords:homogeneous  rational  non‐autonomous  quadratic  monotonic  non‐monotonic  period two
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