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

Authors

  • D. Andrade

DOI:

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

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.

Downloads

Published

2000-06-01

How to Cite

Andrade, D. (2000). A Note on Solvability of the Nonlinear Abstract Viscoelastic Problem in Banach Spaces. Trends in Computational and Applied Mathematics, 1(1), 9–16. https://doi.org/10.5540/tema.2000.01.01.0009

Issue

Vol. 1 No. 1 (2000)

Section

Original Article

License

Copyright

Authors of articles published in the journal Trends in Computational and Applied Mathematics retain the copyright of their work. The journal uses Creative Commons Attribution (CC-BY) in published articles. The authors grant the TCAM journal the right to first publish the article.

Intellectual Property and Terms of Use

The content of the articles is the exclusive responsibility of the authors. The journal uses Creative Commons Attribution (CC-BY) in published articles. This license allows published articles to be reused without permission for any purpose as long as the original work is correctly cited.

The journal encourages Authors to self-archive their accepted manuscripts, publishing them on personal blogs, institutional repositories, and social media, as long as the full citation is included in the journal's website version.