Applications of topological transversality to differential equations. I. Some nonlinear diffusion problems.
A. Granas, R. B. Guenther, and J. W. Lee
Source: Pacific J. Math. Volume 89, Number 1
(1980), 53-67.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102779368
Zentralblatt MATH identifier: 0453.34018
Mathematical Reviews number (MathSciNet): MR596916
References
[1] W. H. Bossert and J. M. Diamond, Standing-gradient osmotic flow, J. General Phy- siology, 50 (1967), 2061-2083.
[2] J. Dugundji and A. Granas, Fixed Point Theory I, Monografic Matematyczne, Warsaw, to appear.
[3] A. Granas, Sur la methode de continuity de Poincare, Comptes Rendus Acad. Sci. Paris, 282 (1976), 983-985-
Mathematical Reviews (MathSciNet): MR53:11664
Zentralblatt MATH: 0348.47039
[4] A. Granas, R. B. Guenther and J. W. Lee, On a theorem of S. Bernstein, Pacific J. Math., 74 (1978), 67-82.
Mathematical Reviews (MathSciNet): MR57:10068
Zentralblatt MATH: 0377.34003
[5] A. Granas,The shooting method for the numerical solution of a class of nonlinear boundary value problems, SIAM J. Numer. Analysis, 16 (1979), 828-836. . R. G. Kellogg, Uniqueness in the Schauder fixed point theorem, Proc. AMS, GO(1976), 207-210.
Mathematical Reviews (MathSciNet): MR80f:65087
Zentralblatt MATH: 0413.65060
[7] A. Granas,Osmotic flow in a tube with stagnant points, Technical Note BN-818, IFDAM, Univ. of Maryland, College Park, MD, 1975.
Pacific Journal of Mathematics
