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

D. Andrade

Resumo


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.

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Referências


[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

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Trends in Computational and Applied Mathematics

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

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