Geodesic
Second-Order Viability Problem: A Baire Category Approach
Myelkebir Aitalioubrahim1 ; Said Sajid1
1 U.F.R. Mathematics and Applications, F.S.T. University Hassan II–Mohammedia BP 146, Mohammedia, Morocco
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 1, pp. 9-23 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The paper deals with the existence of viable solutions to the differential inclusion $$ \ddot{x}(t)\in f(t,x(t)) + \mathop{\rm ext} F(t,x(t)), $$ where $f$ is a single-valued map and $\mathop{\rm ext} F(t,x)$ stands for the extreme points of a continuous, convex and noncompact set-valued mapping $F$ with nonempty interior.
DOI : 10.4064/ba57-1-2
Keywords: paper deals existence viable solutions differential inclusion ddot t mathop ext t where single valued map mathop ext stands extreme points continuous convex noncompact set valued mapping nonempty interior

Myelkebir Aitalioubrahim 1 ; Said Sajid 1

1 U.F.R. Mathematics and Applications, F.S.T. University Hassan II–Mohammedia BP 146, Mohammedia, Morocco 
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     title = {Second-Order {Viability} {Problem:} {A} {Baire} {Category} {Approach}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
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Myelkebir Aitalioubrahim; Said Sajid. Second-Order Viability Problem: A Baire Category Approach. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 1, pp. 9-23. doi: 10.4064/ba57-1-2

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