A stability result for a class of nonlinear integrodifferential equations with L¹ kernels

• Autorzy: Piermarco Cannarsa , Daniela Sforza
• Języki publikacji: EN

Abstrakty

EN

We study second order nonlinear integro-differential equations in Hilbert spaces with weakly singular convolution kernels obtaining energy estimates for the solutions, uniform in t. Then we show that the solutions decay exponentially at ∞ in the energy norm. Finally, we apply these results to a problem in viscoelasticity.

Kategorie tematyczne

• 35L70: Nonlinear second-order hyperbolic equations
• 45M10: Stability theory
• 45N05: Abstract integral equations, integral equations in abstract spaces
• 93D20: Asymptotic stability

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2008
• Tom: 35
• Numer: 4
• Strony: 395-430

Daty

wydano

2008

Twórcy

autor

Piermarco Cannarsa

• Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma, Italy

autor

Daniela Sforza

• Dipartimento di Metodi e Modelli Matematici, per le Scienze Applicate, Università di Roma La Sapienza, Via A. Scarpa 16, 00161 Roma, Italy

Identyfikatory

DOI

10.4064/am35-4-2