This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Capasso, V. and Maddalana, L., “Convergence to equilibrium states for reaction-diffusion system modeling the spatial spread of a class of bacterial and viral diseases,” J. Math. Bio. 13(1981), 173–184.
Goldstein, J. A., Semigroups of Linear Operators and Applications, Oxford University Press, New York, 1985.
Krasnoselskii, M. A., Positive Solutions of Operator Equations, P. Noordhoff Ltd., Groningen, 1964.
Martin, R. H., Nonlinear Operators and Differential Equations in Banach Spaces, Wiley-Interscience, New York, 1976.
Martin, R. H., “Asymptotic stability and critical points for nonlinear quasimonotone parabolic systems,” J. Diff. Eq. 30(1978), 391–423.
Martin, R. H., “Asymptotic behavior of solutions to a class of nonlinear parabolic systems,” in Nonlinear Partial Differential Equations and Their Applications, Vol. 1, H. Brezis and J. L. Lions, Editors, Research Notes in Math. #53, Pitman, Boston, 1980.
Martin, R. H. and Smith, H., “Abstract functional differential equations and reaction-diffusion systems,” (preprint).
Messia, M. E. and De Mottoni, P., “On some positive feedback systems with different boundary conditions,” J. Math. Anal. Appl., 103(1984), 58–66.
De Mottoni, P. and Schiaffino, A., “Bifurcation of periodic solutions of periodic evolution equations in a cone,” J. Diff. Eq. 45(1982), 408–430.
Pazy, A., Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.
Protter, M. H. and Weinberger, H. F., Maximum Principles in Differential Equations, Prentice-Hall, Englewood Cliffs, NJ, 1967.
Vulikh, B. Z., Introduction to the Theory of Partially Ordered Spaces, Wolters-Noordhoff, Groningen, 1967.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Martin, R.H. (1989). Asymptotic behavior of solutions to quasimonotone parabolic systems. In: Gill, T.L., Zachary, W.W. (eds) Nonlinear Semigroups, Partial Differential Equations and Attractors. Lecture Notes in Mathematics, vol 1394. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086755
Download citation
DOI: https://doi.org/10.1007/BFb0086755
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51594-4
Online ISBN: 978-3-540-46679-6
eBook Packages: Springer Book Archive
