Upper and lower solutions method for a superlinear duffing equation

Chengwen Wang; Denis Blackmore; Xiaoxia Wang

Upper and lower solutions method for a superlinear duffing equation

Chengwen Wang, Denis Blackmore, Xiaoxia Wang

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, an upper and lower solutions theory for the forced superlinear Duffing equation x" + f(t)x' + g(t, x) = 8 a.e. t ∈ [0, T] x(0)=x(T),x'(0)=x'(T) is established, and the multiplicity of periodic solutions is discussed, where / ∈ L¹([O, T]), g(t, x) is a Carathéodory function, and s is a real parameter.

Original language	English (US)
Pages (from-to)	19-29
Number of pages	11
Journal	Communications on Applied Nonlinear Analysis
Volume	16
Issue number	3
State	Published - 2009

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Multiplicity
Periodic solutions
Superlinear duffing equation
Upper and lower solutions

Cite this

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abstract = "In this paper, an upper and lower solutions theory for the forced superlinear Duffing equation x{"} + f(t)x' + g(t, x) = 8 a.e. t ∈ [0, T] x(0)=x(T),x'(0)=x'(T) is established, and the multiplicity of periodic solutions is discussed, where / ∈ L1([O, T]), g(t, x) is a Carath{\'e}odory function, and s is a real parameter.",

keywords = "Multiplicity, Periodic solutions, Superlinear duffing equation, Upper and lower solutions",

author = "Chengwen Wang and Denis Blackmore and Xiaoxia Wang",

year = "2009",

language = "English (US)",

volume = "16",

pages = "19--29",

journal = "Communications on Applied Nonlinear Analysis",

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TY - JOUR

T1 - Upper and lower solutions method for a superlinear duffing equation

AU - Wang, Chengwen

AU - Blackmore, Denis

AU - Wang, Xiaoxia

PY - 2009

Y1 - 2009

N2 - In this paper, an upper and lower solutions theory for the forced superlinear Duffing equation x" + f(t)x' + g(t, x) = 8 a.e. t ∈ [0, T] x(0)=x(T),x'(0)=x'(T) is established, and the multiplicity of periodic solutions is discussed, where / ∈ L1([O, T]), g(t, x) is a Carathéodory function, and s is a real parameter.

AB - In this paper, an upper and lower solutions theory for the forced superlinear Duffing equation x" + f(t)x' + g(t, x) = 8 a.e. t ∈ [0, T] x(0)=x(T),x'(0)=x'(T) is established, and the multiplicity of periodic solutions is discussed, where / ∈ L1([O, T]), g(t, x) is a Carathéodory function, and s is a real parameter.

KW - Multiplicity

KW - Periodic solutions

KW - Superlinear duffing equation

KW - Upper and lower solutions

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M3 - Article

AN - SCOPUS:72349096019

SN - 1074-133X

VL - 16

SP - 19

EP - 29

JO - Communications on Applied Nonlinear Analysis

JF - Communications on Applied Nonlinear Analysis

IS - 3

ER -

Upper and lower solutions method for a superlinear duffing equation

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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