The investigates results concerning the stability and asymptotic stability of the null solution of abstract nonlinear second order evolution equations, applying them to semilinear wave equations, strongly dissipative wave equations, an equation for transverse motion of an extensible beam, and to a damped quasilinear wave equation. The main contribution is the removal if the compactness of the orbits required in the LaSalle invariance principle
Stability for second order abstract evolution equations
MARCATI, PIERANGELO
1984-01-01
Abstract
The investigates results concerning the stability and asymptotic stability of the null solution of abstract nonlinear second order evolution equations, applying them to semilinear wave equations, strongly dissipative wave equations, an equation for transverse motion of an extensible beam, and to a damped quasilinear wave equation. The main contribution is the removal if the compactness of the orbits required in the LaSalle invariance principleFile in questo prodotto:
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