An infinite dimensional Duffing-like evolution equation with linear dissipation and an asymptotically small source term

DOI10.1016/j.nonrwa.2018.02.007zbMath1394.35291arXiv1710.08159OpenAlexW2962814899MaRDI QIDQ1644308

Marina Ghisi, Alain Haraux, Massimo Gobbino

Publication date: 21 June 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08159

zbMATH Keywords

Duffing equationdissipative hyperbolic equationabstract nonlinear second order evolution equationdamped oscillations of a beammagneto-elastic oscillations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Abstract hyperbolic equations (35L90) Higher-order quasilinear hyperbolic equations (35L77)

Related Items (6)

Asymptotic finite-dimensional approximations for a class of extensible elastic systems ⋮ Small perturbations for a Duffing-like evolution equation involving non-commuting operators ⋮ Long-time dynamics of a hinged-free plate driven by a nonconservative force ⋮ A sharp stability criterion for single well Duffing and Duffing-like equations ⋮ Stability analysis in some strongly prestressed rectangular plates ⋮ Periodic Solutions and Torsional Instability in a Nonlinear Nonlocal Plate Equation

Cites Work

• Unnamed Item
• Unnamed Item
• N-cyclic functions and multiple subharmonic solutions of Duffing's equation
• Boundedness and convergence of solutions of \(x + cx' + g(x) = e(t)\)
• Nonlinear evolution equations - global behavior of solutions
• The number of periodic solutions of 2-dimensional periodic systems
• A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
• Boundedness and stability for the damped and forced single well Duffing equation
• Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term
• On Periodic Solutions of Duffing'u Equation with Damping
• Periodic solutions of 𝑥”+𝑐𝑥’+𝑔(𝑥)=𝜖𝑓(𝑡)
• A magnetoelastic strange attractor
• A NEW APPROACH TO ALMOST PERIODICITY

This page was built for publication: An infinite dimensional Duffing-like evolution equation with linear dissipation and an asymptotically small source term