|
Periodic solutions of nonlinear impulsive differential inclusions with constraints
Author(s):
Tiziana
Cardinali;
Raffaella
Servadei
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2339-2349.
MSC (2000):
Primary 34A37, 34A60, 34B15
Posted:
March 25, 2004
Retrieve article in:
PDF DVI PostScript
Abstract |
References |
Similar articles |
Additional information
Abstract:
In this paper we obtain the existence of periodic solutions for nonlinear ``invariance'' problems monitored by impulsive differential inclusions subject to impulse effects.
References:
-
- 1.
- D. D. Bainov and P. S. Simeonov: Systems with impulsive effect. Stability, theory and applications, Ellis Horwood Series in Mathematics and its Applications, Ellis Horwood, Chichester, 1989. MR 90i:93082
- 2.
- M. Benchohra, J. Henderson, and S. K. Ntouyas: On a periodic boundary value problem for first order impulsive differential inclusions, Dynam. Systems Appl. 10 (2001), 477-488. MR 2002i:34015
- 3.
- S. G. Hristova and D. D. Bainov: Existence of periodic solutions of nonlinear systems of differential equations with impulse effect, J. Math. Anal. Appl. 125 (1987), 192-202. MR 88f:34055
- 4.
- S. Hu and N. S. Papageorgiou: Handbook of multivalued analysis, Kluwer, Dordrecht, 1997. MR 98k:47001
- 5.
- S. Hu and N. S. Papageorgiou: On the topological regularity of the solution set of differential inclusions with constraints, J. Differential Equations 107 (1994), 280-289. MR 94m:34036
- 6.
- A. Lasota and J. A. Yorke: The generic property of existence of solutions of differential equations in Banach space, J. Differential Equations 13 (1973), 1-12. MR 49:770
- 7.
- V. Lakshmikantham, D. D. Bainov, and P. S. Simeonov: Theory of impulsive differential equations, World Scientific, Series in Modern Appl. Math., 6, Singapore, 1989. MR 91m:34013
- 8.
- V. D. Mil'man and A. D. Myshkis: On the stability of motion in the presence of impulses, Sibirsk. Mat. Zh. 1 (2) (1960), 233-237. (Russian) MR 23:A3325
- 9.
- M. Nagumo: Über die Lage der Integralkurven gewöhnlicker Differentialgleichungen, Proc. Phys.-Math. Soc. Japan, 24 (1942), 551-559. MR 7:381e
- 10.
- N. S. Papageorgiou: Convergence theorems for Banach space valued integrable multifunctions, Internat. J. Math. Math. Sci. 10 (3) (1987), 433-442.MR 88i:28019
- 11.
- A. M. Samoilenko and N. A. Perestyuk: Differential equations with impulse effect, World Scientific, Singapore (1995) (Visca Skola, Kiev (1987), in Russian).
- 12.
- P. J. Watson: Impulsive differential inclusions, Nonlinear World 4 (1997), 395-402.MR 2000e:34018
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
34A37, 34A60, 34B15
Retrieve articles in all Journals with MSC
(2000):
34A37, 34A60, 34B15
Additional Information:
Tiziana
Cardinali
Affiliation:
Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli 1, Perugia 06123, Italy
Email:
tiziana@dipmat.unipg.it
Raffaella
Servadei
Affiliation:
Department of Mathematics, University of Roma `Tor Vergata', via della Ricerca Scientifica, Roma 00133, Italy
Email:
servadei@mat.uniroma2.it
DOI:
10.1090/S0002-9939-04-07343-5
PII:
S 0002-9939(04)07343-5
Keywords:
Impulsive differential inclusions and equations,
canonical domain,
Bouligand contingent cone,
lower and upper semicontinuity of set-valued maps
Received by editor(s):
February 14, 2003
Received by editor(s) in revised form:
April 29, 2003
Posted:
March 25, 2004
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2004,
American Mathematical Society
|