Comparison results of reaction-diffusion equations with delay in abstract cones
Ahmad, Shair ; Vatsala, A. S.
Rendiconti del Seminario Matematico della Università di Padova, Tome 65 (1981), p. 19-34 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1981-01-01
@article{RSMUP_1981__65__19_0,
     author = {Ahmad, Shair and Vatsala, A. S.},
     title = {Comparison results of reaction-diffusion equations with delay in abstract cones},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {65},
     year = {1981},
     pages = {19-34},
     mrnumber = {653279},
     zbl = {0499.35010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1981__65__19_0}
}

Ahmad, Shair; Vatsala, A. S. Comparison results of reaction-diffusion equations with delay in abstract cones. Rendiconti del Seminario Matematico della Università di Padova, Tome 65 (1981) pp. 19-34. http://gdmltest.u-ga.fr/item/RSMUP_1981__65__19_0/

[1] R. Aris, The mathematical theory of diffusion and reaction in permeable catalysts, Clarendon Press, Oxford, England, 1975. | Zbl 0315.76051

[2] D.G. Aronson - H.F. Weinberger, Nonlinear diffusion in population genetics, combustion and nerve propagation, Lecture Notes, vol. 446, Springer-Verlag, New York, 1975. | MR 427837 | Zbl 0325.35050

[3] P.C. Fife, Pattern formation in reacting and diffusing systems, J. Chem. Phys., 64 (1976), pp. 554-564.

[4] R. Fitzhugh, Mathematical models of excitation and propagation in nerves, Biological Engineering, H. P. Schwann, Ed., McGraw-Hill, New York, 1969.

[5] V. Lakshmikantham, Comparison results for reaction and diffusion equation in a Banach space, Technical report 94, Univ. of Texas at Arlington.

[6] M. Muller, Über das fundamental theorem in der theorie der gewohnlichen differential gleichungen, Math. Z., 26 (1926), pp. 619-645.

[7] R. Redheffer - W. Walter, Comparison theorems for parabolic functional equalities. | Zbl 0449.35106

[8] A.M. Turing, On the chemical basis fo morphogenesis, Phil. Trans. Roy. Soc. London Ser. B, 237 (1952), pp. 37-52.

[9] P.E. Waltman, The equations of growth, Bull. Math. Biophys., 26 (1964), pp. 39-43. | MR 159072 | Zbl 0119.35802