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Extremal Solutions of Evolution Inclusions Associated with Time Dependent Convex Subdifferentials
Author(s) -
Papageorgiou Nikolaos S.
Publication year - 1992
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19921580116
Subject(s) - mathematics , regular polygon , convergence (economics) , nonlinear system , subderivative , type (biology) , pure mathematics , convex optimization , geometry , ecology , physics , quantum mechanics , economics , biology , economic growth
In this paper first we establish the existence of extremal solutions for evolution inclusions driven by time dependent convex subdifferentials, and then show that they are dense for the topology of uniform convergence on T =[0, b ] to the solutions of the original system. Then these results are applied to establish “bang‐bang” type results for some classes of nonlinear infinite dimensional control systems. A few examples are also presented.