Author： Yamamoto Tetsuro
Publisher： Taylor & Francis Ltd
ISSN： 0163-0563
Source： Numerical Functional Analysis and Optimization, Vol.29, Iss.9-10, 2008-09, pp. : 1180-1200
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
This paper extends results of Yamamoto et al. (Numer. Funct. Anal. Optimiz. 2008; 29:213-224) to the boundary value problem [image omitted] where the sign of r(x) is indefinite. Let HνAνUν = fν be the finite difference equations on partitions [image omitted], ν = 1,2,… with [image omitted] as ν → ∞, where Hν and Aν are diagonal and tridiagonal matrices, respectively, and fν are vectors generated by discretization of f(x). Then equivalent conditions for the boundary value problem to have a unique solution u ∈ C2[a, b] are given in terms of [image omitted] and [image omitted].
Access to resources
Recommend
