Comparison results of reaction-diffusion equations with delay in abstract cones

Shair Ahmad; A. S. Vatsala

Rendiconti del Seminario Matematico della Università di Padova (1981)

  • Volume: 65, page 19-34
  • ISSN: 0041-8994

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Ahmad, Shair, and Vatsala, A. S.. "Comparison results of reaction-diffusion equations with delay in abstract cones." Rendiconti del Seminario Matematico della Università di Padova 65 (1981): 19-34. <http://eudml.org/doc/107816>.

@article{Ahmad1981,
author = {Ahmad, Shair, Vatsala, A. S.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {comparison results; reaction-diffusion equations; parabolic differential equations with delay; flow invariance},
language = {eng},
pages = {19-34},
publisher = {Seminario Matematico of the University of Padua},
title = {Comparison results of reaction-diffusion equations with delay in abstract cones},
url = {http://eudml.org/doc/107816},
volume = {65},
year = {1981},
}

TY - JOUR
AU - Ahmad, Shair
AU - Vatsala, A. S.
TI - Comparison results of reaction-diffusion equations with delay in abstract cones
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1981
PB - Seminario Matematico of the University of Padua
VL - 65
SP - 19
EP - 34
LA - eng
KW - comparison results; reaction-diffusion equations; parabolic differential equations with delay; flow invariance
UR - http://eudml.org/doc/107816
ER -

References

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  1. [1] R. Aris, The mathematical theory of diffusion and reaction in permeable catalysts, Clarendon Press, Oxford, England, 1975. Zbl0315.76051
  2. [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. Zbl0325.35050MR427837
  3. [3] P.C. Fife, Pattern formation in reacting and diffusing systems, J. Chem. Phys., 64 (1976), pp. 554-564. 
  4. [4] R. Fitzhugh, Mathematical models of excitation and propagation in nerves, Biological Engineering, H. P. Schwann, Ed., McGraw-Hill, New York, 1969. Zbl0181.55002
  5. [5] V. Lakshmikantham, Comparison results for reaction and diffusion equation in a Banach space, Technical report 94, Univ. of Texas at Arlington. Zbl0433.35035
  6. [6] M. Muller, Über das fundamental theorem in der theorie der gewohnlichen differential gleichungen, Math. Z., 26 (1926), pp. 619-645. 
  7. [7] R. Redheffer - W. Walter, Comparison theorems for parabolic functional equalities. Zbl0449.35106
  8. [8] A.M. Turing, On the chemical basis fo morphogenesis, Phil. Trans. Roy. Soc. London Ser. B, 237 (1952), pp. 37-52. 
  9. [9] P.E. Waltman, The equations of growth, Bull. Math. Biophys., 26 (1964), pp. 39-43. Zbl0119.35802MR159072

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