Some qualitative properties of mild solutions of a second-order integro-differential inclusion

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Advances in the Theory of Nonlinear Analysis and its Application
Volume: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 : 93 | Download : 7

Publication Date : 2019-08-31

Article Type : Research Paper

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

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