Existence for a diffusing population with returns from the boundary to the interior

International Journal of Phytoremediation

Volumn 72, Issue 1-2, 1999, Pages 1-16

  Bobisud, L E ^a,b,c   Do, Tae S ^a,b,c   Lee, Y S ^a,b,c  

^a UNIVERSITY OF IDAHO   (United States)

^b Catholic Kwandong University   (South Korea)

^c Manchester College   (United Kingdom)

Author keywords

Existence; Nonlocal ordinary differential equations; Population control

Indexed keywords

EID: 0007222709     PISSN: 15226514     EISSN: 15497879     Source Type: Journal    
DOI: 10.1080/00036819908840726     Document Type: Article

References (16)

1. Bobisud, L. E., 1995. “ Existence of steady-state solutions to some constant-voltage problems ”. In Boundary Value Problems for Functional Differential Equations, Edited by: Henderson, J., 63-72. World Scientific.
2. Bobisud, L. E., Calvert, J. E., and Royalty, W. D., 1995. Existence of biological populations stabilized by diffusion. Diff. Eqs. and Dynamical Systems, 3: 325-344.
3. Bobisud, L. E., and Tae, S. Do. 1996. A nonlocal heat conduction problem. Applic. Anal, 62: 381-389.
4. Byszewski, L., 1992. Uniqueness of solutions of parabolic semilinear nonlocal-boundary problems. J. Math. Anal. Applic, 165: 472-478.
5. Capasso, V., 1993. Mathematical Structures of Epidemic Systems, Springer-Verlag.
6. Deng, K., 1994. Behavior of solutions of Burgers's equation with nonlocal boundary conditions (II). Quart, Appl. Math, 52: 553-567.
7. Deng, K., Kwong, M. K., and Levine, H. A., 1992. The influence of nonlocal nonlinearities on the long time behavior of solutions of Burgers's equation. Quart. Appl. Math, 50: 173-200.
8. Granas, A., Guenther, R. B., and Lee, J. W., 1985. “ Nonlinear Boundary Value Problems for Ordinary Differential Equations ”. In Dissertationes Mathematicae, Vol. 244, Warsaw.
9. Hallam, T.G., and Levin, S.A., 1986. Mathematical Ecology, New York: Springer-Verlag.
10. Hassan, I. M., 1990. Nonlocal and nonlinear first boundary value problem for quasilinear partial differential equations. Annales Univ. Sci. Budapest, 33: 183-188.
11. Kiguradze, I. T., and Lomtatidze, A. G., 1984. On certain boundary value problems for second-order linear ordinary differential equations with singularities. J. Math. Anal. Appl, 101: 325-347.
12. Kuiper, H. J., 1991. On boundedness and stability of solutions to quasilinear parabolic equations with nonlocal nonlinearities. J. Math. Anal. Applic, 160: 203-222.
13. Lin, Y., and Yin, H.-M., 1992. Nonlinear parabolic equations with nonlinear functionals. J. Math. Anal. Applic, 168: 28-41.
14. Lomtatidze, A., 1995. On a nonlocal boundary value problem for second order linear ordinary differential equations. J. Math. Anal. Applic, 193: 889-908.
15. Mansourati, Z. G., and Campbell, L. L., 1996. Non-classical diffusion equations related to birth-death processes with two boundaries. Quart. Appl. Math, 53: 423-443.
16. Pao, C. V., 1995. Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions. J. Math. Anal. Applic, 195: 702-718.