On the solution set of a nonconvex nonclosed Sturm-Liouville type differential inclusion

• Autorzy: Cernea A.
• Języki publikacji: EN

Abstrakty

EN

We consider a nonconvex and nonclosed Sturm-Liouville type differential inclusion and we prove the arcwise connectedness of the set of its solutions.

Słowa kluczowe

EN

set-valued contraction; fixed point; solution set

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2009
• Tom: Vol. 49, [Z] 2
• Strony: 139--146
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Cernea A.

• Faculty of Mathematics and Informatics, University of Bucharest Academiei 14, 010014 Bucharest, Romania,

Bibliografia

• [1] A. Cernea, On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions, Czech. Math. J. 52(127) (2002), 215-224.
• [2] A. Cernea, On the solution set of a nonconvex nonclosed higher order differential inclusion, Math. Commun. 12 (2007), 221-228.
• [3] A. Cernea, On the solution set of some classes of nonconvex nonclosed differential inclusions, Portugaliae Math., to appear.
• [4] A. Cernea, A Filippov type existence theorem for a Sturm-Liouville type differential inclusion, submitted.
• [5] Y.K. Chang and W.T. Li, Existence results for second order impulsive functional differential inclusions, J. Math. Anal. Appl. 301 (2005), 477-490.
• [6] Y. Liu, J. Wu and Z. Li, Impulsive boundary value problems for Sturm-Liouville type differential inclusions, J. Sys. Sci. Complexity 20 (2007), 370-380.
• [7] S. Marano, Fixed points of multivalued contractions with nonclosed, nonconvex values, Atti. Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 5 (1994), 203-212.
• [8] S. Marano and V. Staicu, On the set of solutions to a class of nonconvex nonclosed differential inclusions, Acta Math. Hungar. 76 (1997), 287-301.