PERIODIC SOLUTIONS FOR EVOLUTION INCLUSIONS WITH TIME-DEPENDENT SUBDIFFERENTIALS

2002 ◽  
Vol 35 (3) ◽  
Author(s):  
Nikolaos Matzakos ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Periodic Solutions ◽  
Time Dependent ◽  
Evolution Inclusions

scholarly journals Periodic solutions for time-dependent subdifferential evolution inclusions

2017 ◽  
Vol 6 (2) ◽  
pp. 277-297 ◽  
Author(s):  
Nikolaos S. Papageorgiou ◽  
◽  
Vicenţiu D. Rădulescu ◽  
◽  
Keyword(s):  
Periodic Solutions ◽  
Time Dependent ◽  
Evolution Inclusions

Anti-periodic solutions for nonlinear evolution inclusions

2018 ◽  
Vol 18 (2) ◽  
pp. 1025-1047
Author(s):  
Leszek Gasiński ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Periodic Solutions ◽  
Nonlinear Evolution ◽  
Evolution Inclusions

scholarly journals Extremal solutions and strong relaxation for nonlinear periodic evolution inclusions

2000 ◽  
Vol 43 (3) ◽  
pp. 569-586 ◽  
Author(s):  
Nikolaos S. Papageorgiou ◽  
Nikolaos Yannakakis
Keyword(s):  
Periodic Solutions ◽  
Nonlinear Operator ◽  
Periodic Problem ◽  
Distributed Parameter ◽  
Pseudomonotone Operators ◽  
Evolution Inclusions ◽  
Evolution Triple ◽  
Relaxation Theorem ◽  
Strong Relaxation ◽  
Surjectivity Result

AbstractWe study the existence of extremal periodic solutions for nonlinear evolution inclusions defined on an evolution triple of spaces and with the nonlinear operator establish A being time-dependent and pseudomonotone. Using techniques of multivalued analysis and a surjectivity result for L-generalized pseudomonotone operators, we prove the existence of extremal periodic solutions. Subsequently, by assuming that A(t, ·) is monotone, we prove a strong relaxation theorem for the periodic problem. Two examples of nonlinear distributed parameter systems illustrate the applicability of our results.

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