Global attractor for a nonlinear plate equation with supported boundary conditions

The Effect of an Axial Force on the Vibration of Hinged Bars

S. Woinowsky-Krieger · Journal of Applied Mechanics · 1950 · 662 citations · Full text

Engineering, Mechanical Engineering, Structural Dynamics +12

Initial-boundary value problems for an extensible beam

J. M. Ball · Journal of Mathematical Analysis and Applications · 1973 · 302 citations

Engineering, Mathematics, Mechanical Engineering +14

Stability theory for an extensible beam

J. M. Ball · Journal of Differential Equations · 1973 · 214 citations

Engineering, Mechanical Engineering, Physics +14

Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation

Glenn F. Webb · Canadian Journal of Mathematics · 1980 · 207 citations · Full text

Natural Sciences, Mathematics, Differential Equations +16

On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation

Kosuke Ono · Mathematical Methods in the Applied Sciences · 1997 · 157 citations

Natural Sciences, Mathematics, Differential Equations +15