메뉴 건너뛰기




Volumn 69, Issue 9, 2008, Pages 3110-3127

Large time dynamics of a nonlinear spring-mass-damper model

Author keywords

Exponentially attracting invariant manifolds; Limit ODE; Nonlinear strongly damped wave equation

Indexed keywords

ORDINARY DIFFERENTIAL EQUATIONS; WAVE EQUATIONS;

EID: 60349084322     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.09.005     Document Type: Article
Times cited : (17)

References (16)
  • 1
    • 1842733476 scopus 로고    scopus 로고
    • Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain
    • J.M. Arrieta, A.N. Carvalho, Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain, J. Differential Equations 199 (2004) 143-178.
    • (2004) J. Differential Equations , vol.199 , pp. 143-178
    • Arrieta, J.M.1    Carvalho, A.N.2
  • 3
    • 33747004677 scopus 로고    scopus 로고
    • Continuity of the attractors in a singular problem arising in composite materials
    • V.L. Carbone, J.G. Ruas-Filho, Continuity of the attractors in a singular problem arising in composite materials, Nonlinear Anal. 65 (2006) 1285-1305.
    • (2006) Nonlinear Anal , vol.65 , pp. 1285-1305
    • Carbone, V.L.1    Ruas-Filho, J.G.2
  • 4
    • 0010929733 scopus 로고
    • Infinite dimensional dynamics described by ordinary differential equations
    • A.N. Carvalho, Infinite dimensional dynamics described by ordinary differential equations, J. Differential Equations 116 (2) (1995) 338-404.
    • (1995) J. Differential Equations , vol.116 , Issue.2 , pp. 338-404
    • Carvalho, A.N.1
  • 5
    • 33750998806 scopus 로고    scopus 로고
    • Patterns in parabolic problems with nonlinear boundary conditions
    • A.N. Carvalho, G. Lozada-Cruz, Patterns in parabolic problems with nonlinear boundary conditions, J. Math. Anal. Appl. 325 (2007) 1216-1239.
    • (2007) J. Math. Anal. Appl. , vol.325 , pp. 1216-1239
    • Carvalho, A.N.1    Lozada-Cruz, G.2
  • 8
    • 45949116702 scopus 로고
    • On the explicit construction of an ODE which has the same dynamics as a scalar parabolic PDE
    • G. Fusco, On the explicit construction of an ODE which has the same dynamics as a scalar parabolic PDE, J. Differential Equations 69 (1) (1987) 85-110.
    • (1987) J. Differential Equations , vol.69 , Issue.1 , pp. 85-110
    • Fusco, G.1
  • 9
    • 0003347458 scopus 로고
    • Perturbation theory for linear operators
    • Springer-Verlag
    • T. Kato, Perturbation theory for linear operators, in: Classics in Mathematics, Springer-Verlag, 1980.
    • (1980) Classics in Mathematics
    • Kato, T.1
  • 13
    • 3142772645 scopus 로고    scopus 로고
    • Analysis of a viscoelastic spring-mass model
    • M. Pellicer, J. Solà-Morales, Analysis of a viscoelastic spring-mass model, J. Math. Anal. Appl. 294/2 (2004) 687-698.
    • (2004) J. Math. Anal. Appl. , vol.294 , Issue.2 , pp. 687-698
    • Pellicer, M.1    Solà-Morales, J.2
  • 15
    • 45149143498 scopus 로고
    • The singular limit dynamics of semilinear damped wave equations
    • X. Mora, J. Solà-Morales, The singular limit dynamics of semilinear damped wave equations, J. Differential Equations 78 (2) (1989) 262-307.
    • (1989) J. Differential Equations , vol.78 , Issue.2 , pp. 262-307
    • Mora, X.1    Solà-Morales, J.2
  • 16
    • 79960739899 scopus 로고    scopus 로고
    • Exact finite dimensional feedback control via inertial manifold theory with application to the Chafee-Infante equation
    • R. Rosa, Exact finite dimensional feedback control via inertial manifold theory with application to the Chafee-Infante equation, J. Dynam. Differential Equations 15 (1) (2003) 61-86.
    • (2003) J. Dynam. Differential Equations , vol.15 , Issue.1 , pp. 61-86
    • Rosa, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.