On Existence Of Two Real Periodic Solutions Of Differential Equations Of Riccati Type
Author | Hassan, H. S. [حسن صادق حسن] |
Available date | 2009-11-25T15:19:27Z |
Publication Date | 1986 |
Publication Name | Qatar University Science Bulletin |
Citation | Qatar University Science Bulletin, 1986, Vol. 6, Pages 33-38. |
Abstract | In this paper we consider the two equations z^z^p^z+r^t), (*) z^z^ptOz+r^t), (••) where z € C, p, r) and r^ are real, continuous and periodic with period T. It was shown in[2]that if (*) has two T-periodic solutions and if r j (t) < ty (t) for all t£ [ 0, T ], then (**) has two T-periodic solutions. In this note we extend this result by showing that if, moreover, the two T-periodic solutions of (*) are real then so are the T-periodic solutions of( **). |
Language | en |
Publisher | Qatar University |
Subject | Mathematics الرياضيات |
Alternative Title | في وجود حلين حقيقيين دوريين لمعادلات تفاضلية من نوع ريكاتي |
Type | Article |
Pagination | 33-38 |
Volume Number | 6 |
Alternative Abstract | في هذا البحث سندرس المعادلتين : Z*=z2+p(t)z+r0(t), (*) Z*=z2+p(t)z+r1(t), (**) حيث zوcوpوr1وr0 دوال حقيقية مستمرة ، دورية بدورة مقدارها t سنبرهن إذا (*) عندها حلين دوريين فأن (**) لها حلين حقيقيين دوريين إذا tє[O,T] r1(t)≤r0(t) |
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Qatar University Science Journal - [From 1981 TO 2007] [770 items ]