Existence of solutions and periodic solutions for nonlinear evolution inclusions

1999 ◽  
Vol 48 (2) ◽  
pp. 341-364 ◽  
Author(s):  
Nikolaos S. Papageorgiou ◽  
Francesca Papalini ◽  
Francesca Renzacci
Keyword(s):  
Periodic Solutions ◽  
Existence Of Solutions ◽  
Nonlinear Evolution ◽  
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 Existence of anti-periodic solutions for a class of first order evolution inclusions

Filomat ◽  
2014 ◽  
Vol 28 (6) ◽  
pp. 1167-1180 ◽  
Author(s):  
Xiaoyou Liu ◽  
Yiliang Liu
Keyword(s):  
Periodic Solutions ◽  
Nonlinear Evolution ◽  
Maximal Monotone ◽  
Pseudomonotone Operators ◽  
Evolution Inclusions ◽  
Derivative Operator ◽  
Evolution Triple ◽  
First Order ◽  
Nonlinear Parabolic ◽  
Surjectivity Result

The existence of anti-periodic solutions for a class of first order nonlinear evolution inclusions defined in the framework of an evolution triple of spaces is considered. We study the problems under both convexity and nonconvexity conditions on the multivalued right-hand side. The main tools in our study are the maximal monotone property of the derivative operator with anti-periodic conditions, the surjectivity result for L-pseudomonotone operators and continuous extreme selection results from multivalued analysis. An example of a nonlinear parabolic problem is given to illustrate our results.

scholarly journals Existence of solutions for second-order evolution inclusions

1994 ◽  
Vol 7 (4) ◽  
pp. 525-535 ◽  
Author(s):  
Nikolaos S. Papageorgiou
Keyword(s):  
Differential Inclusion ◽  
Existence Of Solutions ◽  
Nonlinear Evolution ◽  
Existence Theorems ◽  
Second Order ◽  
The Other ◽  
Evolution Inclusions ◽  
Partial Differential ◽  
Valued Field ◽  
Partial Differential Inclusion

In this paper we examine second-order nonlinear evolution inclusions and prove two existence theorems; one with a convex-valued orientor field and the other with a nonconvex-valued field. An example of a hyperbolic partial differential inclusion is also presented.

scholarly journals Periodic solutions of nonlinear evolution inclusions

1994 ◽  
Vol 52 (1-3) ◽  
pp. 277-286 ◽  
Author(s):  
V. Lakshmikantham ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Periodic Solutions ◽  
Nonlinear Evolution ◽  
Evolution Inclusions

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 Random nonlinear evolution inclusions in reflexive Banach spaces

1988 ◽  
Vol 104 (1) ◽  
pp. 293-293 ◽  
Author(s):  
Evgenios P. Avgerinos ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Banach Spaces ◽  
Nonlinear Evolution ◽  
Reflexive Banach Spaces ◽  
Evolution Inclusions

Solitons and periodic solutions to a couple of fractional nonlinear evolution equations

Pramana ◽  
2014 ◽  
Vol 82 (3) ◽  
pp. 465-476 ◽  
Author(s):  
M MIRZAZADEH ◽  
M Eslami ◽  
ANJAN BISWAS
Keyword(s):  
Periodic Solutions ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations
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