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## Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2006 | 26 | 1 | 129-141
Tytuł artykułu

### Systems of differential inclusions in the absence of maximum principles and growth conditions

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This article investigates the existence of solutions to second-order boundary value problems (BVPs) for systems of ordinary differential inclusions. The boundary conditions may involve two or more points. Some new inequalities are presented that guarantee a priori bounds on solutions to the differential inclusion under consideration. These a priori bound results are then applied, in conjunction with appropriate topological methods, to prove some new existence theorems for solutions to systems of BVPs for differential inclusions. The new conditions allow the treatment of systems of BVPs in the absence of maximum principles and growth conditions. The results are also new for differential equations involving Carathéodory or even continuous right-hand sides.
Słowa kluczowe
EN
Kategorie tematyczne
Rocznik
Tom
Numer
Strony
129-141
Opis fizyczny
Daty
wydano
2006
otrzymano
2005-09-09
Twórcy
• School of Mathematics, The University of New South Wales, Sydney 2052, Australia
Bibliografia
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• [21] L. Gasiński and N.S. Papageorgiou, Nonlinear second-order multivalued boundary value problems, Proc. Indian Acad. Sci. Math. Sci. 113 (3) (2003), 293-319.
• [22] Y.E. Gliklikh and A.V. Obukhovskiĭ, On a two-point boundary value problem for second-order differential inclusions on Riemannian manifolds, Abstr. Appl. Anal. (2003), no. 10, 591-600.
• [23] A.M. Gomaa, On the solution sets of three-point boundary value problems for nonconvex differential inclusions, J. Egyptian Math. Soc. 12 (2) (2004), 97-107.
• [24] A. Granas and J. Dugundji, Fixed point theory, Springer Monographs in Mathematics, Springer-Verlag, New York 2003.
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Bibliografia
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