APPROXIMATION OF LOWER SEMICONTINUOUS DIFFERENTIAL INCLUSIONS

2001 ◽  
Vol 22 (1-2) ◽  
pp. 55-67 ◽  
Author(s):  
Tzanko Donchev
Keyword(s):  
Differential Inclusions ◽  
Lower Semicontinuous

On semilinear differential inclusions with lower semicontinuous nonlinearities

2000 ◽  
Vol 178 (1) ◽  
pp. 235-244 ◽  
Author(s):  
Mikhail Kamenskii ◽  
Valeri Obukhovskii ◽  
Pietro Zecca
Keyword(s):  
Differential Inclusions ◽  
Lower Semicontinuous

scholarly journals On a nonlocal Cauchy problem for differential inclusions

2004 ◽  
Vol 2004 (5) ◽  
pp. 425-434 ◽  
Author(s):  
E. Gatsori ◽  
S. K. Ntouyas ◽  
Y. G. Sficas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Lower Semicontinuous ◽  
Nonlocal Conditions ◽  
Sufficient Conditions ◽  
Multivalued Operators ◽  
Nonlocal Cauchy Problem

We establish sufficient conditions for the existence of solutions for semilinear differential inclusions, with nonlocal conditions. We rely on a fixed-point theorem for contraction multivalued maps due to Covitz and Nadler andon the Schaefer's fixed-point theorem combined with lower semicontinuous multivalued operators with decomposable values.

scholarly journals Existence theorems for differential inclusions with nonconvex right hand side

1986 ◽  
Vol 9 (3) ◽  
pp. 459-469 ◽  
Author(s):  
Nikolaos S. Papageorgiou
Keyword(s):  
Banach Space ◽  
Separable Banach Space ◽  
Differential Inclusions ◽  
Existence Theorems ◽  
Lower Semicontinuous ◽  
Time Variable ◽  
The State ◽  
Infinite Dimensional ◽  
State Variable ◽  
Right Hand

In this paper we prove some new existence theorems for differential inclusions with a nonconvex right hand side, which is lower semicontinuous or continuous in the state variable, measurable in the time variable and takes values in a finite or infinite dimensional separable Banach space.

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