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The Existence and Multiplicity of Periodic Solutions for Duffing's Equation ü + g ( u ) = s + h ( t )
Author(s) -
Zaihong Wang
Publication year - 2000
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s002461070000870x
Subject(s) - multiplicity (mathematics) , duffing equation , mathematics , mathematical analysis , mathematical physics , physics , nonlinear system , quantum mechanics
The paper proves the existence and multiplicity of periodic solutions of the equation ü + g ( u ) = s + h ( t ,) where g : R ↦ R is of class C 1 , h : R ↦ R is continuous and 2π‐periodic, and s is a parameter.