A Volterra series representation for a class of nonlinear infinite dimensional systems with periodic boundary conditions

L. Z. Guo; Y. Z. Guo; S. A. Billings; D. Coca; Z. Q. Lang

doi:10.1016/j.sysconle.2012.11.011

A Volterra series representation for a class of nonlinear infinite dimensional systems with periodic boundary conditions

L. Z. Guo
, Y. Z. Guo
, S. A. Billings^*
, D. Coca
, Z. Q. Lang

^*此作品的通讯作者

University of Sheffield

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

This paper proves the existence of a Volterra series representation for the mild solutions of a class of nonlinear infinite dimensional systems. More specifically, given the evolutionary system/operator {U(t,s):0≤s≤t<

源语言	英语
页（从-至）	115-123
页数	9
期刊	Systems and Control Letters
卷	62
期	2
DOI	https://doi.org/10.1016/j.sysconle.2012.11.011
出版状态	已出版 - 2013
已对外发布	是

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title = "A Volterra series representation for a class of nonlinear infinite dimensional systems with periodic boundary conditions",

abstract = "This paper proves the existence of a Volterra series representation for the mild solutions of a class of nonlinear infinite dimensional systems. More specifically, given the evolutionary system/operator \{U(t,s):0≤s≤t<",

keywords = "Nonlinear infinite dimensional systems, Volterra series",

author = "Guo, \{L. Z.\} and Guo, \{Y. Z.\} and Billings, \{S. A.\} and D. Coca and Lang, \{Z. Q.\}",

year = "2013",

doi = "10.1016/j.sysconle.2012.11.011",

language = "英语",

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T1 - A Volterra series representation for a class of nonlinear infinite dimensional systems with periodic boundary conditions

AU - Guo, L. Z.

AU - Guo, Y. Z.

AU - Billings, S. A.

AU - Coca, D.

AU - Lang, Z. Q.

PY - 2013

Y1 - 2013

N2 - This paper proves the existence of a Volterra series representation for the mild solutions of a class of nonlinear infinite dimensional systems. More specifically, given the evolutionary system/operator {U(t,s):0≤s≤t<

AB - This paper proves the existence of a Volterra series representation for the mild solutions of a class of nonlinear infinite dimensional systems. More specifically, given the evolutionary system/operator {U(t,s):0≤s≤t<

KW - Nonlinear infinite dimensional systems

KW - Volterra series

UR - https://www.scopus.com/pages/publications/84871630441

U2 - 10.1016/j.sysconle.2012.11.011

DO - 10.1016/j.sysconle.2012.11.011

M3 - 文章

AN - SCOPUS:84871630441

SN - 0167-6911

VL - 62

SP - 115

EP - 123

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 2

ER -

A Volterra series representation for a class of nonlinear infinite dimensional systems with periodic boundary conditions

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