Set valued functions in Fréchet spaces: Continuity, Hukuhara differentiability and applications to set differential equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 61, Issue 4, 2005, Pages 559-575

  Galanis, G N ^a   Bhaskar, T Gnana ^b   Lakshmikantham, V ^b   Palamides, P K ^a  

^a HELLENIC NAVAL ACADEMY   (Greece)

^b Florida Institute of Technology   (United States)

Author keywords

Fr chet spaces; Hukuhara differentiability; Set differential equations

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; GEOMETRY; LINEAR EQUATIONS; PROBLEM SOLVING; SET THEORY; TOPOLOGY; VECTORS;

FRÉCHNET SPACES; HUKUHARA DIFERENTIABLITY; METRIC SPACES; SET DIFFERENTIAL EQUATIONS (SDE);

FUNCTIONS;

EID: 14644437111     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.01.004     Document Type: Article

References (6)

1. G. Galanis On a type of linear differential equations in Fréchet spaces Ann. Scuola Norm. Sup. Pisa 4 24 1997 501 510
2. M. Hukuhara Integration of measurable maps with compact, convex set values Funkcial. Ekvac. 10 1967 205 223
3. A. Kriegl, P. Michor, The Convenient Setting of Global Analysis, Mathematical Surveys and Monographs, vol. 53, Amer. Math. Soc., Providence, RI.
4. V. Lakshmikantham, T. Gnana Bhaskar, J. Vasundhara Devi, Theory of Set Differential Equations in a Metric Space, Cambridge Scientific Publishers Ltd, 2005, to be published.
5. J.A. Leslie On a differential structure for the group of diffeomorphisms Topology 46 1967 263 271
6. H.H. Schaeffer Topological Vector Spaces 1980 Springer Berlin