Periodic solutions for nonconvex
differential inclusions
Authors:
Shouchuan Hu, Dimitrios A. Kandilakis and Nikolaos S. Papageorgiou
Journal:
Proc. Amer. Math. Soc. 127 (1999), 89-94
MSC (1991):
Primary 34C25, 34A60
DOI:
https://doi.org/10.1090/S0002-9939-99-04338-5
MathSciNet review:
1451808
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we prove the existence of periodic solutions for differential inclusions with nonconvex-valued orientor field. Our proof is based on degree theoretic arguments.
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-selectionable correspondences, J. Math. Anal. Appl. 96 (1983), 295-312. 
, Proc. Amer. Math. Soc. 123 (1995), 3043-3050. 
, J. Math. Anal. Appl. 148 (1990), 202-212. Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 34C25, 34A60
Retrieve articles in all journals with MSC (1991): 34C25, 34A60
Additional Information
Shouchuan Hu
Affiliation:
Department of Mathematics, Southwest Missouri State University, Springfield, Missouri 65804
Email:
hu@math.smsu.edu
Dimitrios A. Kandilakis
Affiliation:
Department of Mathematics, University of the Aegean, 83200 Karlovassi, Samos, Greece
Nikolaos S. Papageorgiou
Affiliation:
Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece
Email:
npapg@math.ntua.gr
DOI:
https://doi.org/10.1090/S0002-9939-99-04338-5
Keywords:
Lower semicontinuous multifunction,
measurable multifunction,
continuous selector,
a priori bound,
compact embedding,
Leray-Schauder degree,
compact homotopy,
homotopy invariance
Received by editor(s):
September 23, 1996
Additional Notes:
The second author’s research was supported by Grant PENED 678(94)
Communicated by:
Hal L. Smith
Article copyright:
© Copyright 1999
American Mathematical Society
