Geodesic
Well-Posedness for Integro-Differential Sweeping Processes of Volterra Type
Journal of convex analysis, Tome 31 (2024) no. 4, pp. 1273-1288
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We study the well-posedness of integro-differential sweeping processes of Volterra type. Using new enhanced versions of Gronwall's inequality, a reparametrization technique, and a fixed point argument for history-dependent operators, we obtain the existence of solutions and provide a fully continuous dependence result for the integro-differential sweeping process. The paper ends with an application to projected dynamical systems.
Classification : 34A60, 49J52, 49J53
Mots-clés : Sweeping process, prox-regular sets, normal cone, history-dependent operator 
@article{JCA_2024_31_4_JCA_2024_31_4_a12,
     author = {E. Vilches},
     title = {Well-Posedness for {Integro-Differential} {Sweeping} {Processes} of {Volterra} {Type}},
     journal = {Journal of convex analysis},
     pages = {1273--1288},
     year = {2024},
     volume = {31},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2024_31_4_JCA_2024_31_4_a12/}
}
TY  - JOUR
AU  - E. Vilches
TI  - Well-Posedness for Integro-Differential Sweeping Processes of Volterra Type
JO  - Journal of convex analysis
PY  - 2024
SP  - 1273
EP  - 1288
VL  - 31
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JCA_2024_31_4_JCA_2024_31_4_a12/
ID  - JCA_2024_31_4_JCA_2024_31_4_a12
ER  - 
%0 Journal Article
%A E. Vilches
%T Well-Posedness for Integro-Differential Sweeping Processes of Volterra Type
%J Journal of convex analysis
%D 2024
%P 1273-1288
%V 31
%N 4
%U http://geodesic.mathdoc.fr/item/JCA_2024_31_4_JCA_2024_31_4_a12/
%F JCA_2024_31_4_JCA_2024_31_4_a12
E. Vilches. Well-Posedness for Integro-Differential Sweeping Processes of Volterra Type. Journal of convex analysis, Tome 31 (2024) no. 4, pp. 1273-1288. http://geodesic.mathdoc.fr/item/JCA_2024_31_4_JCA_2024_31_4_a12/