Integrodifferential iclusions in non separable Banach spaces

• Autorzy: Cernea A.
• Języki publikacji: EN

Abstrakty

EN

We consider a Cauchy problem for a nonlinear integrodifferential inclusion in non separable Banach spaces under Filippov type assumptions and we prove the existence of solutions. This result allows to obtain a relaxation theorem for the problem considered.

Słowa kluczowe

EN

integrodifferential inclusions; Lusin measurable multifunctions; Banach space

PL

multifunkcje; przestrzeń Banacha

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 3
• Strony: 591--602
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Cernea A.

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

Bibliografia

• [1] T. Cardinali, A. Fiacca, N. S. Papageorgiu, On the solution set of nonlinear integrodifferential inclusion in Rn. Math. Japonica 46 (1997), 117-128.
• [2] A. Bressan, G. Colombo, Extensions and selections of maps with decomposable values, Studia Math. 90 (1988), 69-86.
• [3] A. Cernea, On a nonlinear integrodifferential inclusion, Mathematica 64 (1999), 31-37.
• [4] A. Cernea, Continuous selections of solution sets of nonlinear integrodifferential inclusions, Rev. Roum. Math. Pures Appi. 44 (1999), 341-351.
• [5] A. Cernea, On the solution set of a class of integrodifferential inclusions, Anale. Univ. Bue. 48 (1999), 21-28.
• [6] A. Cernea, Arcwise connectedness of solution set of infinite horizon nonlinear integrodifferential inclusion, Pure Math. Appi. 11 (2000), 161-171.
• [7] A. Cernea, A topological property of the solution set of an infinite horizon nonlinear integrodifferential inclusion, Acta Math. Hungar. 90 (2001), 185-197.
• [8] F. S. De Blasi, G. Pianigiani, Evolution inclusions in non separable Banach spaces, Comment. Math. Univ. Carolinae 40 (1999), 227-250.
• [9] A. F. Filippov, Classical solutions of differential equations with multi-valued right hand side, SIAM J. Control 5 (1967), 609-621.
• [10] T. Kiffe, A Volterra integral equation and multiple valued functions, J. Integral Eqs. 3 (1981), 93-108.
• [11] K. Kuratowski, C. Ryll-Nardzewski, A general theorem on selectors, Bull. Acad. Pol. Sci. Math. Astron. Phys. 13 (1965), 397-403.
• [12] N. S. Papageorgiu, Volterra integrodifferential inclusions in reflexive Banach Spaces, Funckial. Ekvac. 34 (1991), 257-277.