6533b7cffe1ef96bd1259557

RESEARCH PRODUCT

Constrained differential inclusions with nonlocal initial conditions

Abderrahim Jourani Emilio Vilches

subject

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]MSC: 34A60 49J52 34G25 49J53 34B10Periodic solutionsNonlocal Cauchy problemDifferential inclusions[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Sweeping processesNormal coneBounding functions

description

International audience; We show existence for the perturbed sweeping process with nonlocal initial conditions under very general hypotheses. Periodic, anti-periodic, mean value and multipoints conditions are included in this study. We give abstract results for differential inclusions with nonlocal initial conditions through bounding functions and tangential conditions. Some applications to differential complementarity systems and to vector hysteresis are given.

yearjournalcountryeditionlanguage
2017-01-01
https://hal.archives-ouvertes.fr/hal-01666584