On parabolic functional differential equations in unbounded domains

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1. 1. Arcoya D., Díaz J.I., Tello L., S-sharped bifurcation branch in a quasilinear multivalued model arising in climatology, J. Diff. Eq., to appear MR1660246
2. 2. Badii M., Díaz J.I., Tesei M., Existence and attractivity results for a class of degenerate fuctional-parabolic problems, Rend. Sem. Mat. Univ. Padova 78 (1987), 109-124. (1987) MR0934509
3. 3. Berkovits J., Mustonen V., Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems, Rend. Mat. Ser. VII, 12, Roma (1992), 597-621. (1992) Zbl0806.47055MR1205967
4. 4. Brokate M., Sprekels J., Hysteresis and Phase Transitions, Springer, 1996. (1996) Zbl0951.74002MR1411908
5. 5. Browder F.E., Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains, Proc. Natl. Acad. Sci. USA 74 (1977), 2659-2661. (1977) Zbl0358.35034MR0445124
6. 6. Browder F.E., Strongly nonlinear parabolic equations of higher order, Atti Acc. Lincei 77 (1986), 159-172. (1986) 
7. 7. Díaz J.I., Hernández J., Tello L., On the multiplicity of equilibrium solutions to a nonlinear diffusion equation on a manifold arising in climatology, J. Math. Anal. Appl. 216 (1997), 593-613. (1997) MR1489600
8. 8., equation arising in climatology, in: PDEs and Applications, Dunod, Paris, 1998. (1998) Zbl0921.35182
9. 9. Rauch J., Discontinuous semilinear differential equations and multiple valued maps, Proc. Amer. Math. Soc. 64 (1977), 277-282. (1977) Zbl0413.35031MR0442453
10. 10. Renardy M., Hrusa W.J., Nohel J.A., Mathematical problems in viscoelasticity, Pitman Monographs and Survays in Pure and Applied Mathematics 35, Longman Scientific and Technical - John Wiley and Sons, Inc., New York. Zbl0719.73013MR0919738
11. 11. Simon L., On the stabilization of solutions of nonlinear parabolic functional differential equations, Proceedings of the Conference Function Spaces, Differential Operators and Nonlinear Analysis, Syöte, 1999, 239-250. (1999) MR1755314
12. 12. Simon L., On different types of nonlinear parabolic functional differential equations, Pure Math. Appl. 9 (1998), 181-192. (1998) Zbl0928.35183MR1677575
13. 13. Simon L., On nonlinear parabolic functional differential equations in unbounded domains, Proceedings of the World Congress of Nonlinear Analysts 2000, Catania, to appear. Zbl1024.35088MR1929751
14. 14. Zeidler E., Nonlinear functional analysis and its applications, II A and II B, Springer, 1990. (1990) Zbl0684.47029MR1033497
15. 15. Wu J., Theory and applications of partial functional differential equations, Springer, 1996. (1996) Zbl0870.35116MR1415838