scholarly journals General second order functional differential inclusion driven by the sweeping process with subsmooth sets

2020 ◽  
Vol 2020 (1) ◽  
Keyword(s):  
Differential Inclusion ◽  
Second Order ◽  
Sweeping Process ◽  
Functional Differential Inclusion ◽  
Functional Differential

scholarly journals Viability result for semilinear functional differential inclusions in Banach spaces

2021 ◽  
Vol 13 (2) ◽  
pp. 395-404
Author(s):  
M. Aitalioubrahim
Keyword(s):  
Banach Spaces ◽  
Differential Inclusion ◽  
Mild Solution ◽  
Differential Inclusions ◽  
Existence Result ◽  
Linear Operators ◽  
Functional Differential Inclusion ◽  
Functional Differential ◽  
Functional Differential Inclusions

We show the existence result of a mild solution for a semilinear functional differential inclusion, with viability, governed by a family of linear operators. We consider the case when the constraint is moving.

scholarly journals On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition

Mathematics ◽  
2021 ◽  
Vol 9 (21) ◽  
pp. 2667
Author(s):  
Ahmed M. A. El-Sayed ◽  
Wagdy G. El-Sayed ◽  
Somyya S. Amrajaa
Keyword(s):  
Boundary Value Problem ◽  
Differential Inclusion ◽  
Nonlocal Condition ◽  
Boundary Value ◽  
Integral Condition ◽  
Hybrid Functional ◽  
Functional Differential Inclusion ◽  
Uniqueness Of The Solution ◽  
Nonlocal Integral Condition ◽  
Functional Differential

In this work, we present a boundary value problem of hybrid functional differential inclusion with nonlocal condition. The boundary conditions of integral and infinite points will be deduced. The existence of solutions and its maximal and minimal will be proved. A sufficient condition for uniqueness of the solution is given. The continuous dependence of the unique solution will be studied.

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