Fourier problem for a coupled diffusion system with functionals

Ukrainian Mathematical Journal

Volumn 53, Issue 11, 2001, Pages 1784-1800

  Bokalo, M M ^a   Dmytriv, V M ^a  

^a IVAN FRANKO NATIONAL UNIVERSITY OF LVIV   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846226871     PISSN: 00415995     EISSN: 15739376     Source Type: Journal    
DOI: 10.1023/A:1015242627673     Document Type: Article

References (9)

1. A. L. Hodgkin and A. F. Huxley, "A quantitative description of membrane current and its application to conduction and excitation in nerve," J. Physiol, 117, 500-544 (1952).
2. T. M. Pell and T. G. Davis, "Diffusion and reaction in polyester melts," J. Polym. Sci., 11, 1671-1682 (1973).
3. P. P. Babak, "The first boundary-value problem for coupled diffusion systems with functional arguments," Mat. Studii, 7, No. 2, 179-186(1997).
4. P. P. Babak, "Coupled diffusion systems with functional arguments in unbounded domains," Mat. Studii, 12, No. 1, 85-89 (1999).
5. M. Kuwamura, S.-I. Ei, and M. Mimura, "Very slow dynamics for some reaction-diffusion systems of the activator-inhibitor type," Jpn. J. Ind. Appl. Math., 9, No. 1, 35-77 (1992).
6. I. I. Shmulev, "Periodic solutions of the first boundary-value problem for parabolic equations," Mat. Sb., 66 (108), No. 3, 398-410(1965).
7. N. M. Bokalo, "On a problem without initial conditions for some classes of nonlinear parabolic equations," in: Proceedings of the Petrovskii Seminar [in Russian], Issue 14, Moscow University, Moscow (1989), pp. 3-44.
8. O. A. Ladyzhenskaya, N. N. Ural'tseva, and V. A. Solonnikov, Linear and Quasilinear Equations of Parabolic Type [in Russian], Nauka, Moscow (1967).
9. I. G. Petrovskii, Lectures on the Theory of Ordinary Differential Equations [in Russian], Nauka, Moscow (1970).