Period two implies all periods for a class of ODEs: A multivalued map approach
نویسندگان
چکیده
منابع مشابه
Period Two Implies All Periods for a Class of Odes: a Multivalued Map Approach
We present an elementary proof that, for a multivalued map φ : R R with nonempty connected values and monotone margins, the existence of a periodic orbit of any order k > 1 implies the existence of periodic orbits of all orders. This generalizes a very recent result of this type in terms of scalar ordinary differential equations without uniqueness, due to F. Obersnel and P. Omari, obtained by m...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2007
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-07-08885-5