Three Solutions for Forced Duffing-Type Equations with Damping Term

Using the variational principle of Ricceri and a local mountain pass lemma, we study the existence of three distinct solutions for the following resonant Duffing-type equations with damping and perturbed term , a.e. , and without perturbed term , a.e. , .

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Bibliographic Details
Published inBoundary value problems Vol. 2011; no. 1; pp. 1 - 11
Main Authors Li, Yongkun, Zhang, Tianwei
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.01.2011
SpringerOpen
Subjects
Analysis
Approximations and Expansions
Boundary value problems
Damping
Difference and Functional Equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Mountains
Ordinary Differential Equations
Partial Differential Equations
Research Article
Variational principles
Mountain Pass
Chaotic Synchronization
Critical Point Theory
Variational Principle
Distinct Solution
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Summary:Using the variational principle of Ricceri and a local mountain pass lemma, we study the existence of three distinct solutions for the following resonant Duffing-type equations with damping and perturbed term , a.e. , and without perturbed term , a.e. , .
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1687-2762
1687-2770
DOI:10.1155/2011/736093