Lindstedt series for periodic solutions of beam equations with quadratic and velocity dependent nonlinearities

V. Mastropietro;  ; Michela Procesi;

doi:10.3934/cpaa.2006.5.1

Lindstedt series for periodic solutions of beam equations with quadratic and velocity dependent nonlinearities

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2006.5.1 ◽

2006 ◽

Vol 5 (1) ◽

pp. 1-28 ◽

Cited By ~ 1

Author(s):

V. Mastropietro ◽

◽

Michela Procesi ◽

Keyword(s):

Periodic Solutions ◽

Beam Equations ◽

Lindstedt Series

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Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2004.01.007 ◽

2004 ◽

Vol 83 (8) ◽

pp. 1019-1065 ◽

Cited By ~ 16

Author(s):

Guido Gentile ◽

Vieri Mastropietro

Keyword(s):

Boundary Conditions ◽

Periodic Solutions ◽

Nonlinear Wave ◽

Wave Equations ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Nonlinear Wave Equations ◽

Series Method ◽

Lindstedt Series

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Almost periodic solutions for a class of higher-dimensional beam equations

Nonlinearity ◽

10.1088/0951-7715/20/11/003 ◽

2007 ◽

Vol 20 (11) ◽

pp. 2499-2517 ◽

Cited By ~ 10

Author(s):

Huawei Niu ◽

Jiansheng Geng

Keyword(s):

Periodic Solutions ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Higher Dimensional ◽

Beam Equations

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The existence of periodic solutions for nonlinear beam equations on by a para‐differential method

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4758 ◽

2018 ◽

Vol 41 (7) ◽

pp. 2546-2574

Author(s):

Bochao Chen ◽

Yong Li ◽

Yixian Gao

Keyword(s):

Periodic Solutions ◽

Differential Method ◽

Nonlinear Beam ◽

Beam Equations ◽

Existence Of Periodic Solutions

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Multiple doubly periodic solutions of semi-linear damped beam equations

Nonlinear Analysis ◽

10.1016/j.na.2006.07.036 ◽

2007 ◽

Vol 67 (5) ◽

pp. 1540-1549

Author(s):

Peng Wang ◽

Yukun An

Keyword(s):

Periodic Solutions ◽

Beam Equations

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On generalized periodic solutions of some nonlinear telegraph and beam equations

Czechoslovak Mathematical Journal ◽

10.21136/cmj.1986.102104 ◽

1986 ◽

Vol 36 (3) ◽

pp. 434-449

Author(s):

Pavel Drábek ◽

Daniela Lupo

Keyword(s):

Periodic Solutions ◽

Beam Equations

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Quasi-periodic solutions of beam equations with the nonlinear terms depending on the time and space variables

Scientia Sinica Mathematica ◽

10.1360/012015-52 ◽

2016 ◽

Vol 47 (2) ◽

pp. 257-290

Author(s):

SI JianGuo ◽

WANG Yi

Keyword(s):

Periodic Solutions ◽

Time And Space ◽

Beam Equations

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Periodic solutions to nonlinear Euler–Bernoulli beam equations

Communications in Mathematical Sciences ◽

10.4310/cms.2019.v17.n7.a10 ◽

2019 ◽

Vol 17 (7) ◽

pp. 2005-2034

Author(s):

Bochao Chen ◽

Yixian Gao ◽

Yong Li

Keyword(s):

Periodic Solutions ◽

Bernoulli Beam ◽

Beam Equations ◽

Euler Bernoulli Beam

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Non-degeneracy and uniqueness of periodic solutions for some superlinear beam equations

Applied Mathematics Letters ◽

10.1016/j.aml.2008.03.027 ◽

2009 ◽

Vol 22 (3) ◽

pp. 314-319 ◽

Cited By ~ 7

Author(s):

Wei Li ◽

Meirong Zhang

Keyword(s):

Periodic Solutions ◽

Beam Equations

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Periodic solutions of beam equations with symmetry

Nonlinear Analysis ◽

10.1016/s0362-546x(99)00119-4 ◽

2000 ◽

Vol 42 (4) ◽

pp. 631-650 ◽

Cited By ~ 5

Author(s):

Cheng Lee

Keyword(s):

Periodic Solutions ◽

Beam Equations

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Quasi-periodic solutions to nonlinear beam equations on compact Lie groups with a multiplicative potential

Journal of Differential Equations ◽

10.1016/j.jde.2018.02.005 ◽

2018 ◽

Vol 264 (11) ◽

pp. 6959-6993 ◽

Cited By ~ 1

Author(s):

Bochao Chen ◽

Yixian Gao ◽

Shan Jiang ◽

Yong Li

Keyword(s):

Periodic Solutions ◽

Lie Groups ◽

Compact Lie Groups ◽

Nonlinear Beam ◽

Beam Equations

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