- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 3 Issue: 3
- Some qualitative properties of mild solutions of a second-order integro-differential inclusion
Some qualitative properties of mild solutions of a second-order integro-differential inclusion
Authors : Aurelian Cernea
Pages : 141-149
Doi:10.31197/atnaa.612236
View : 13 | Download : 7
Publication Date : 2019-08-31
Article Type : Research
Abstract :We prove the Lipschitz dependence on the initial data of the solution set of a Cauchy problem associated to a second-order integro-differential inclusion by using the contraction principle in the space of selections of the multifunction instead of the space of solutions. A Filippov type existence theorem for this problem is also provided.Keywords : differential inclusion, contraction principle, fixed point