On the cauchy problem for a functional differential inclusion with delay

Author(s):  
M. Afanasova
2002 ◽  
Vol 9 (1) ◽  
pp. 33-52
Author(s):  
A. I. Bulgakov ◽  
V. V. Vasilyev

Abstract A Cauchy problem for a functional-differential inclusion of neutral type with a nonconvex right-hand side is investigated. Questions of the solvability of such a problem are considered, estimates analogous to the Filippov's estimates are obtained and the density principle is proved.


Author(s):  
N. G. Kazakova ◽  
D. D. Bainov

SynopsisWhen solving practically the neutral type equations the derivatives are replaced by finite differences while the members of integral type are replaced by quadrature formulae. The paper deals with the convergence of a natural class of methods applied to the Cauchy problem for functional-differential neutral type equations. It is not obligatory for the approximated operators to be compact.


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