Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0851.34014
Hu, Shouchuan; Papageorgiou, Nikolaos S.
On the existence of periodic solutions for nonconvex-valued differential inclusions in $\bbfR\sp N$. (English)
[J] Proc. Am. Math. Soc. 123, No.10, 3043-3050 (1995). ISSN 0002-9939; ISSN 1088-6826/e

This paper deals with the multivalued periodic problem $x'\in F(t, x(t))$, $x(0)= x(b)$, where $F: [0, b]\times \bbfR^n\to \bbfR^n$ is a set-valued function with closed (not necessary convex 0) values, measurable with respect to both variables and lower semicontinuous with respect to the second variable. Using a tangential condition and directional selectors the authors establish the existence of periodic solutions. It is worth to note that on that occasion they prove a useful version of the Scorza-Dragoni property for lower semicontinuous multifunctions and they also study the lower semicontinuity of the intersection of two multifunctions.
[J.Myjak (L'Aquila)]

MSC 2000:: *34A60 ODE with multivalued right-hand sides
34C25 Periodic solutions of ODE

Keywords: differential inclusion; multivalued periodic problem; directional selectors; periodic solutions; Scorza-Dragoni property; lower semicontinuous multifunctions

Cited in: Zbl 0981.34026 Zbl 0939.34013

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]