A class of nonlinear singularly perturbed problems for reaction diffusion equations with boundary perturbation

Acta Mathematicae Applicatae Sinica

Volumn 22, Issue 1, 2006, Pages 27-32

  Mo, Jia Qi ^a,b   Lin, Wan Tao ^c  

^a HUZHOU UNIVERSITY   (China)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

^c INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Boundary perturbation; Nonlinear; Reaction diffusion; Singular perturbation

Indexed keywords

EID: 29144531277     PISSN: 01689673     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10255-005-0281-4     Document Type: Article

References (18)

1. Adams, K.L., King, J.R., Tew, R.H. Beyond-all-orders effects in multiple-scales symptotic: Travelling-wave solutions to the Kuramoto-Sivashinsky equation. J. Engineering Math., 45: 197-226 (2003)
2. Bell, D.C., Deng, B. Singular perturbation of N-front traveling waves in the Fitzhugh-Nagumo equations. Nonlinear Anal. Real World Appl., 3(4): 515-541 (2003)
3. Butuzov, V.F., Nefedov, N.N., Schneider, K.R. Singularly perturbed elliptic problems in the case of exchange of stabilities. J. Differential Equations, 169: 373-395 (2001)
4. de Jager, E.M., Jiang Furu. The theory of singular perturbation. North-Holland Publishing Co., Amsterdam, 1996
5. Hamouda, M. Interior layer for second-order singular equations. Applicable Anal., 81: 837-866 (2002)
6. Klley, W.G. A singular perturbation problem of Carrier and Pearson. J. Math. Anal. Appl., 255: 678-697 (2001)
7. Mo, Jiaqi. Singular perturbation for a class of nonlinear reaction diffusion systems. Science in China, (Series A), 32(11): 1306-1315 (1989)
8. Mo, Jiaqi. A singularly perturbed nonlinear boundary value problem. J. Math. Anal. Appl., 178(1): 289-293 (1993)
9. Mo, Jiaqi. A class of singularly perturbed boundary value problems for nonlinear differential systems. J. Sys. Sci. and Math. Scis., 12(1): 55-58 (1999)
10. Mo, Jiaqi. The singularly perturbed problem for combustion reaction diffusion. Acta Math. Appl. Sinica, 17(2): 255-259 (2001)
11. Mo, Jiaqi. A class of nonlocal singularly perturbed problems for nonlinear hyperbolic differential equation. Acta Math. Appl. Sinica, 17(4): 469-474 (2001)
12. Mo, Jiaqi., Feng, Maochun. The nonlinear singularly perturbed problems for reaction diffusion equations with time delay. Acta Math. Sci., 21B(2): 254-258 (2001)
13. Mo, Jiaqi., Ouyang, Cheng. A class of nonlocal boundary value problems of nonlinear elliptic systems in unbounded domains. Acta Math. Sci., 21(1): 93-97 (2001)
14. Mo, Jiaqi., Shao, S. The singularly perturbed boundary value problems for higher-order semilinear elliptic equations. Advances in Math. 30(2): 141-148 (2001)
15. Mo, Jiaqi., Wang, Hui. The shock solution for quasilinear singularly perturbed Robin problem. Progress in Natural Science, 12(12): 945-947 (2002)
16. Mo, Jiaqi., Wang, Hui. A class of nonlinear nonlocal singularly perturbed problems for reaction diffusion equations. J. Biomathematics, 17(2): 143-148 (2002)
17. Mo, Jiaqi., Zhu, Jiang., Wang, Hui. Asymptotic behavior of the shock solution for a class of nonlinear equations. Progress in Natural Science, 13(9): 77-79 (2003)
18. O'Malley, Jr., R.E. On the asymptotic solution of the singularly perturbed boundary value problems posed by Bohé. J. Math. Anal Appl., 242: 18-38 (2000)