A Note on Solvability of the Nonlinear Abstract Viscoelastic Problem in Banach Spaces

D. Andrade

Abstract


In this work we are concerned with the existence of integral solution for a nonlinear abstract viscoelastic problem in a Banach space where the operator is accretive and time dependent.

References


[1] V. Barbu, “Nonlinear semigroups and differential equations in Banach spaces”, Nordhoff, Leyden, 1975.

D. Andrade, A note on solvability of the nonlinear abstract viscoelastic problem in Banach Spaces, J.Partial Diff. Equations, 12 (1999), 337-344.

J.S. Gibson, I.G. Rosen and G. Tao, Approximation in Control of Thermoelastic Systems, SIAM J. Control and Optimization, 30 No.5 (1992), 1163-1189.

S. Gutman, Evolutions governed by m-accretive plus compact operators, Nonlinear nalysis TMA 7 (1983), 707-715.

A.G. Kartsatos and Ki-Yeon Shin, Solvability of functional evolutions via compactness methods in general Banach Spaces, Nonlinear Analysis TMA, 21 No.7 (1993), 517-535.

V. Lakshmikantham and S. Leela, “Nonlinear differential equations in abstract spaces”, Pergamon Press, Oxford, 1981.

N. Pavel, “Nonlinear evolution operators and Semigroups”, Lecture Notes in Mathematics, Vol. 1260, Springer Verlag, Berlin, 1987.




DOI: https://doi.org/10.5540/tema.2000.01.01.0009

Article Metrics

Metrics Loading ...

Metrics powered by PLOS ALM

Refbacks

  • There are currently no refbacks.


Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

Indexed in:

                       

         

 

Desenvolvido por:

Logomarca da Lepidus Tecnologia