Locally lipschitzian guiding function method for ODEs

Nonlinear Analysis, Theory, Methods and Applications

Volumn 33, Issue 7, 1998, Pages 747-758

  Lewicka, Marta ^a  

^a UNIVERSITY OF GDA SK   (Poland)

Author keywords

Differential inclusions; Fixed point index; Periodic solutions; Poincar translation operator

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; MATHEMATICAL OPERATORS; NUMBER THEORY; SET THEORY; THEOREM PROVING;

DIFFERENTIAL INCLUSIONS; FIXED POINT INDEX; GUIDING FUNCTION METHOD; PERIODIC SOLUTIONS; POINCARE TRANSLATION OPERATOR;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0032163068     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00634-2     Document Type: Article

References (9)

1. J. Andres, L. Górniewicz, M. Lewicka, Partially dissipative periodic processes, Topology in Nonlinear Analysis, vol. 35, Banach Center Publications, 1996, pp. 109-118.
2. J.P. Aubin, A. Cellina, Differential Inclusions, Springer, New York, 1982.
3. R. Bader, W. Kryszewski, Fixed point index for compositions of set - valued maps with proximally ∞ - connected values on arbitrary ANR's, Set Valued Anal. 2 (3) (1994) 459-480.
4. F.H. Clarke, Optimization and Nonsmooth Analysis, Wiley-Interscience, New York, 1983.
5. L. Górniewicz, Topological approach to differential inclusions, in: Proc. Conf. on Topological Methods in Differential Equations and Inclusions, Université de Montreal, 1994, NATO ASI Series C, Kluwer, Dordrecht, pp. 129-190.
6. n, Boll. UMI 7-A (1993) 409-420.
7. M.A. Krasnosel'skii, The Operator of Translation Along the Trajectories of Differential Equations, Nauka, Moscow, 1966 (in Russian) [English translation: American Math. Soc., Translations of Math. Monographs, vol. 19, Providence, RI, 1968.]
8. M.A. Krasnosel'skii, The Operator of Translation Along the Trajectories of Differential Equations, Nauka, Moscow, 1966 (in Russian) [English translation: American Math. Soc., Translations of Math. Monographs, vol. 19, Providence, RI, 1968.]
9. J. Mawhin, Continuation theorems and periodic solutions of ordinary differential equations, in: Proc. Conf. on Topological Methods in Differential Equations and Inclusions, Université de Montreal, 1994, NATO ASI Series C, Kluwer, Dordrecht, pp. 291-375.