Generalized Quasilinearization for Quasilinear Parabolic Equations with Nonlinearities of DC Type-Reference-Cited by-同舟云学术

Generalized Quasilinearization for Quasilinear Parabolic Equations with Nonlinearities of DC Type

Published:2001-04 Issue:1 Volume:109 Page:27-50
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:Journal of Optimization Theory and Applications

Author:

Karl S.,Lakshmikantham V.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

http://link.springer.com/content/pdf/10.1023/A:1017505603454.pdf

Reference10 articles.

1. Bellman, R., Methods of Nonlinear Analysis, Vol. 2, Academic Press, New York, NY, 1973.

2. Bellman, R., and Kalaba, R., Quasilinearization and Nonlinear Boundary-Value Problems, American Elsevier, New York, NY, 1965.

3. Lakshmikantham, V., and Vatsala, A. S., Generalized Quasilinearization for Nonlinear Problems, Kluwer Academic Publishers, Dordrecht, Netherlands, 1995.

4. Lakshmikantham, V., and Leela, S., Generalized Quasilinearization and Semilinear Degenerate Elliptic Problems, Discrete and Continuous Dynamical Systems (to appear).

5. Carl, S., and Lakshmikantham, V., Generalized Quasilinearization and Semilinear Parabolic Problems, Nonlinear Analysis: Theory, Methods, and Applications, Vol. 48, No. 5, 2002.

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