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AuthorHassan, H. S. [حسن صادق حسن]
Available date2009-11-25T15:19:27Z
Publication Date1986
Publication NameQatar University Science Bulletin
CitationQatar University Science Bulletin, 1986, Vol. 6, Pages 33-38.
URIhttp://hdl.handle.net/10576/9870
AbstractIn 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( **).
Languageen
PublisherQatar University
SubjectMathematics
Subjectالرياضيات
TitleOn Existence Of Two Real Periodic Solutions Of Differential Equations Of Riccati Type
Alternative Titleفي وجود حلين حقيقيين دوريين لمعادلات تفاضلية من نوع ريكاتي
TypeArticle
Pagination33-38
Volume Number6
Alternative Abstractفي 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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