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

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 principle
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/18101
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