On the “bang-bang” principle for nonlinear evolution inclusions

1993 ◽  
Vol 45 (2-3) ◽  
pp. 267-280 ◽  
Author(s):  
N. S. Papageorgiou
Keyword(s):  
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 and relaxation results for nonlinear evolution inclusions revisited

1995 ◽  
Vol 8 (2) ◽  
pp. 143-149 ◽  
Author(s):  
S. Migórski
Keyword(s):  
Nonlinear Evolution ◽  
Embedding Theorem ◽  
Evolution Inclusions

In this paper we confirm the validity of some recent results of Hu, Lakshmikantham, Papageorgiou [4] and Papageorgiou [13] concerning the existence and relaxation for nonlinear evolution inclusions. We fill a gap in the proofs of these results due to the use of incorrect Nagy's compactness embedding theorem.

Nonlinear evolution inclusions with one-sided perron right-hand side

2013 ◽  
Vol 19 (3) ◽  
pp. 439-456 ◽  
Author(s):  
O. Cârjă ◽  
T. Donchev ◽  
V. Postolache
Keyword(s):  
Nonlinear Evolution ◽  
Evolution Inclusions ◽  
Right Hand

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.

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

scholarly journals On an existence result for nonlinear evolution inclusions

1996 ◽  
Vol 39 (1) ◽  
pp. 133-141 ◽  
Author(s):  
Stanislaw Migórski
Keyword(s):  
Differential Inclusion ◽  
Existence Result ◽  
Nonlinear Evolution ◽  
Solution Set ◽  
Evolution Inclusions

In this paper we present an existence result for a class of nonlinear evolutions inclusions. A result on the compactness of the solution set for a differential inclusion is also established.

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