Document Type
Article
Publication Title
Journal of Applied Mathematics and Stochastic Analysis
Abstract
The method of generalized quasilinearization [4] is applied to study semilinear parabolic equation ut – Lu = f{t,x,u) with nonlocal boundary conditions u(t,x)=∫Ωϕ(x,y)u(t,y)dy in this paper. The convexity of f in u is relaxed by requiring f(t,x,u) Muz to be convex for some M > 0. The quadratic convergence of monotone sequence is obtained.
First Page
117
Last Page
122
DOI
10.1155/S1048953393000115
Publication Date
1993
Recommended Citation
Yunfeng Yin, “Quasilinearization for some nonlocal problems,” Journal of Applied Mathematics and Stochastic Analysis, vol. 6, no. 2, pp. 117-122, 1993. doi:10.1155/S1048953393000115