an:05200932
Zbl 1210.35155
Volkov, V. T.; Nefedov, N. N.
Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations
RU EN
Zh. Vychisl. Mat. Mat. Fiz. 46, No. 4, 615-623 (2006); translation in Comput. Math. Math. Phys. 46, No. 4, 585-593 (2006).
00212479
2006
j
35K57
singular perturbations; reaction-diffusion; contrasting structure; internal layer
Summary: The asymptotical method of differential inequalities is developed for a new class of periodic problems of reaction-diffusion type. The problem of the existence and Lyapunov stability of periodic solutions with internal transient layers in the case of balanced nonlinearity is studied.