Uniform general stability of a coupled Volterra integro-differential equations with fading memories

Author:

Buriol C.,Delatorre L. G.,Tavares E. H. GomesORCID,Soares D. C.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Reference43 articles.

1. Alabau-Boussouira, F., Cannarsa, P., Sforza, D.: Decay estimates for second order evolution equations with memory. J. Funct. Anal. 254(5), 1342–1372 (2008)

2. Benaissa, A., Beniani, A., Zennir, K.: General decay of solution for coupled system of viscoelastic wave equations of Kirchhoff type with density in $${\mathbb{R} }^{n}$$. J. Facta Universitatis. Ser. Math. Inform. 31(5), 1073–1090 (2016)

3. Cavalcanti, M.M., Domingos Cavalcanti, V.N., Lasiecka, I., Nascimento, F.A.F.: Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects. Discrete Contin. Dyn. Syst. B 19(7), 1987 (2014)

4. Cavalcanti, M.M., Domingos Cavalcanti, V.N., Lasiecka, I., Webler, C.M.: Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density. Adv. Nonlinear Anal. 6(2), 121–145 (2017)

5. Cavalcanti, M.M., Domingos Cavalcanti, V.N., Santos, M.L.: Existence and uniform decay rates of solutions to a degenerate system with memory conditions at the boundary. Appl. Math. Comput. 150, 439–465 (2004)

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