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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.
Wydawca
Czasopismo
Rocznik
Tom
Strony
591--602
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- 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.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-PWA3-0007-0014