Random differential inclusions with convex right hand sides

• Autorzy: Krystyna Grytczuk , Emilia Rotkiewicz
• Języki publikacji: EN

Abstrakty

EN

 Abstract. The main result of the present paper deals with the existence of solutions of random functional-differential inclusions of the form

ẋ(t, ω) ∈ G(t, ω, x(·, ω), ẋ(·, ω))

with G taking as its values nonempty compact and convex subsets of n-dimensional Euclidean space $R^n$.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 54
• Numer: 1
• Strony: 13-19

Daty

wydano

1991

otrzymano

1989-02-27

poprawiono

1990-05-23

Twórcy

autor

Krystyna Grytczuk

• Department of Mathematics, Pedagogical University Pl. Słowiański 9, 65-069 Zielona Góra, Poland

autor

Emilia Rotkiewicz

• Zielona Góra

Bibliografia

• [1] R. J. Aumann, Integrals of set-valued functions, J. Math. Anal. Appl. 12 (1965), 1-12.
• [2] N. Dunford and J. T. Schwartz, Linear Operators I, Interscience Publ., New York 1967.
• [3] C. J. Himmelberg, Measurable relations, Fund. Math. 87 (1975), 53-72.
• [4] M. Kisielewicz, Subtrajectory integrals of set-valued functions and neutral functional-differential inclusions, Funkcial. Ekvac. 32 (1989), 123-149.
• [5] M. Kisielewicz, Differential Inclusions and Optimal Control, PWN and D. Reidel, Warszawa 1989 (in press).
• [6] E. Michael, Continuous selections. I, Ann. of Math. 63 (1956), 361-382.
• [7] A. Nowak, Applications of random fixed point theorems In the theory of generalized random
• differential equations, Bull. Polish Acad. Sci. Math. 34 (7-8) (1986), 487-494.
• [8] L. Rybiński, Multivalued contraction mappings with parameters and random fixed point theorems, Discuss. Math. 8 (1986), 101-108.