Anti-periodic solutions for evolution equations associated with maximal monotone mappings

Yuqing Chen; Juan J. Nieto; Donal O'Regan

doi:10.1016/j.aml.2010.10.010

Anti-periodic solutions for evolution equations associated with maximal monotone mappings

Yuqing Chen
, Juan J. Nieto
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

39 Citations (Scopus)

Abstract

In this work, we study the anti-periodic problem for a nonlinear evolution inclusion where the nonlinear part is an odd maximal monotone mapping and the forcing term is an anti-periodic mapping. Several existence results are obtained under suitable conditions. An example is presented to illustrate the results.

Original language	English
Pages (from-to)	302-307
Number of pages	6
Journal	Applied Mathematics Letters
Volume	24
Issue number	3
DOIs	https://doi.org/10.1016/j.aml.2010.10.010
Publication status	Published - Mar 2011

Keywords

Anti-periodic solution
Evolution equation
Maximal monotone map
Periodic solution

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10.1016/j.aml.2010.10.010

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title = "Anti-periodic solutions for evolution equations associated with maximal monotone mappings",

abstract = "In this work, we study the anti-periodic problem for a nonlinear evolution inclusion where the nonlinear part is an odd maximal monotone mapping and the forcing term is an anti-periodic mapping. Several existence results are obtained under suitable conditions. An example is presented to illustrate the results.",

keywords = "Anti-periodic solution, Evolution equation, Maximal monotone map, Periodic solution",

author = "Yuqing Chen and Nieto, \{Juan J.\} and Donal O'Regan",

year = "2011",

month = mar,

doi = "10.1016/j.aml.2010.10.010",

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volume = "24",

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journal = "Applied Mathematics Letters",

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T1 - Anti-periodic solutions for evolution equations associated with maximal monotone mappings

AU - Chen, Yuqing

AU - Nieto, Juan J.

AU - O'Regan, Donal

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Y1 - 2011/3

N2 - In this work, we study the anti-periodic problem for a nonlinear evolution inclusion where the nonlinear part is an odd maximal monotone mapping and the forcing term is an anti-periodic mapping. Several existence results are obtained under suitable conditions. An example is presented to illustrate the results.

AB - In this work, we study the anti-periodic problem for a nonlinear evolution inclusion where the nonlinear part is an odd maximal monotone mapping and the forcing term is an anti-periodic mapping. Several existence results are obtained under suitable conditions. An example is presented to illustrate the results.

KW - Anti-periodic solution

KW - Evolution equation

KW - Maximal monotone map

KW - Periodic solution

UR - https://www.scopus.com/pages/publications/78649957202

U2 - 10.1016/j.aml.2010.10.010

DO - 10.1016/j.aml.2010.10.010

M3 - Article

SN - 0893-9659

VL - 24

SP - 302

EP - 307

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 3

ER -

Anti-periodic solutions for evolution equations associated with maximal monotone mappings

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Keywords

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