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Abstrakty
We propose a version of the Filippov Lemma for differential inclusions of the type y'" + k2y' is an element of F(x,y) defined on [—1,1] with boundary conditions y(-1)=y(1)=y'(1)=0.
Wydawca
Czasopismo
Rocznik
Tom
Strony
337--352
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
autor
autor
- Faculty of Mathematics and Information Science Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland, grgb@alpha.mini.pw.edu.pl
Bibliografia
- [1] J. P. Aubin and A. Cellina, Differential Inclusions, Springer Verlag 1984.
- [2] G. Bartuzel, A. Fryszkowski, Relaxation of the differential inclusions of the Sturm-Liouville type, Demonstratio Math. 30(4) (1997), 953-960.
- [3] G. Bartuzel, A. Fryszkowski, Stability of the principal eigenvalue of the Schroedinger type problems for differential inclusions, Proceedings of the International Conference in Nonlinear Analysis, Toruń 1999.
- [4] G. Bartuzel, A. Fryszkowski, A class of retracts in Lp with some applications to differential inclusions, Discussiones Math. 22 (2002), 213-224.
- [5] M. Benchohra, J. R. Graef, J. Henderson, S. K. Ntouyas, Nonresonance impulsive higher order functional noncovex-valued differential inclusions, Electronic Journal on Qualitative Theory of Differential Equations 2002, No 13, p. 1-13.
- [6] A. Bressan, A. Cellina, A. Fryszkowski, A class of absolute retracts in spaces of integrable functions, Proc. Amer. Math. Soc. 112 (1991), 413-418.
- [7] A. Cernea, On the existence of solutions for a higher order differential inclusions without convexity, Electronic Journal on Qualitative Theory of Differential Equations 2007, No 8, p. 1-8.
- [8] J. Chaay, Sur les équations differéntielles du troisième ordre at d'ordre supérieur dont l'integrale genérale a ses points critiques fixes, Acta Math. 34 (1911), 317-385.
- [9] A. Fryszkowski, Fixed Point Theory for Decomposable Sets, Kluwer 2004.
- [10] H. Hedenmalm, An Hadamard mazimum principle, Journees Eq. Aux derives partieles (1999), CDR115 (CNRS).
- [11] D. Hilbert, R. Courant, Methods of Mathematical Physics, Wiley 1943 (Vol. 1) and 1962 (Vol. 2).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0048-0010