Tytuł artykułu
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Warianty tytułu
Języki publikacji
Abstrakty
Using the notion of continuous approximate selections, we establish an existence theorem for set differential inclusions in a semi-linear metric space.
Czasopismo
Rocznik
Tom
Strony
571--582
Opis fizyczny
Bibliogr. 22 poz.
Twórcy
autor
autor
autor
- Centro Vito Volterra, Dipartimento Di Matematica, University Di Roma II "Tor Vergata", Via Delia Ricerca Scientifica 1, 00133 Roma, Italy
Bibliografia
- AMBROSIO, L., and TILLI, L. (2004) Topics on Analysis in Metric Spaces. Oxford Lecture Series in Mathematics and its Applications 25. Oxford University Press, Oxford.
- AUMANN, R.J. (1965) Integrals of set-valued functions. J. Math. Anal. Appl, 12, 1-12.
- BRANDÃO LOPES PINTO, A.J., DE BLASI, F.S. and IERVOLINO, F. (1970) Uniqueness and existence theorems for differential equations with convex valued solutions. Boll. Un. Mat. Ital. 4 (3), 1-12.
- CELLINA, A. (1969) Approximation of set valued functions and fixed points theorems. Ann. Mat. Pura Appl 82, 17-24.
- CELLINA, A. (1970) Multivalued differential equations and ordinary differential equations. SIAM J. Appl. Math. 18, 533-538.
- DE BLASI, F.S. and IERVOLINO, F. (1969) Equazioni differenziali con soluzioni a valore compatto convesso. Boll. Un. Mat. ltd. 4 (2), 491-501.
- DE BLASI, F.S. and LASOTA, A. (1968) Daniell’s method in the theory of Aumann-Hukuhara integral of set-valued functions. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 8 (45), 252-256.
- DE BLASI, F.S. and PIANIGIANI, G. (2004a) Approximate selections in a-convex metric spaces and topological degree. Topo. Meth. Nonl. Anal. 24, 347- 375.
- DE BLASI, F.S. and PIANIGIANI, G. (2004b) Continuous selections in a-convex metric spaces. Bull. Pol. Acad. Sci. Math. 52, 303-317.
- HERMES, H. (1968) Calculus of Set Valued Functions and Control. J. Math. Mech. 18, 43-59.
- HIMMELBERG, C.J. (1975) Measurable relations. Fund. Math. 87, 53-72.
- HU, S. and PAPAGEORGIOU, N.S. (1997) Handbook of Multivalued Analysis, Vol. I, II, Kluwer, Dordrecht.
- HUKUHARA, M. (1967) Intégration des applications mesurables dont la valeur est un compact convexe. Funkcial. Ekvac. 10, 205-223.
- LAKSHMIKANTHAM, V. (2004) The connection between set and fuzzy differential equations. Facta Univ. Ser. Mech. Automat. Control. Robot 4, 1-10.
- LAKSHMIKANTHAM, V., GNANA BHASKAR, T. and VASUNDHARA DEVI, J. (2006) Theory of Set Differential Equations in a Metric Space. Cambridge Scientific Publishers.
- LAKSHMIKANTHAM, V. and MOHAPATRA, R.N. (2003) Theory of Fuzzy Differential Equations and Inclusions. Taylor & Francis, London.
- PLOTNIKOV, A.V. and TUMBRUKAKI, A.V. (2000) Integrodifferential equations with multivalued solutions. Ukr. Mat. Zh. 52, 359-367.
- PLOTNIKOV, V.A. and PLOTNIKOVA, L.I. (1997) Averaging of equations of controlled motion on a metric space. Cybernet. Systems Anal. 33, 601-606.
- PLOTNIKOV, V.A., RASHKOV, P.I. (1999) Averaging in differential equations with Hukuhara derivative and delay. International Conference on Differential and Functional Differential Equations (Moscow, 1999), Fund. Differ.Equ., 8 (2001), 371-381.
- RZEŻUCHOWSKI, T. and WĄSOWSKI, J. (2001) Differential equations with fuzzy parameters via differential inclusions. J. Math. Anal. Appl. 255 (1), 177-194.
- SEVERINI, C. (1898) Sull’ integrazione delle equazioni differenziali ordinarie del primo ordine. Rend. R. 1st. Lombardo Sc. e Lett., 657-667.
- TOLSTONOGOV, A. (2000) Differential Inclusions in a Banach Space. Kluwer Academic Publishers, Dordrechet.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BAT5-0017-0055