BOUNDARY VALUE PROBLEMS FOR FUNCTIONAL-DIFFERENTIAL INCLUSIONS WITH THE IMPULSES INFLUENCES DEPENDING ON CONDITION OF PHASE TRAJECTORY

2016 ◽  
Vol 21 (6) ◽  
pp. 2062-2067
Author(s):  
O.V. Filippova ◽  
Keyword(s):  
Boundary Value Problems ◽  
Phase Trajectory ◽  
Differential Inclusions ◽  
Boundary Value ◽  
Functional Differential ◽  
Functional Differential Inclusions

scholarly journals Initial and boundary value problems for nonconvex valued multivalued functional differential equations

2003 ◽  
Vol 16 (2) ◽  
pp. 191-200 ◽  
Author(s):  
M. Benchohra ◽  
S. K. Ntouyas
Keyword(s):  
Boundary Value Problems ◽  
Existence Of Solutions ◽  
Lower Semicontinuous ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Multivalued Maps ◽  
Multivalued Functional ◽  
Multivalued Operators ◽  
Functional Differential ◽  
Functional Differential Inclusions

In this note we investigate the existence of solutions of initial and boundary value problems defined on a compact interval to some classes of functional differential inclusions. We shall rely on a fixed point theorem for contraction multivalued maps due to Covitz and Nadler and Schafer's theorem combined with lower semicontinuous multivalued operators with decomposable values.

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