In this paper, techniques of partial order theory are used to study the solvability of an operator equation Lx = Nx in complete metric space and Banach space, respectively. Existence results are obtained and then applied to a two point boundary value problem of an intergro-differential equation.
Yu Qiang FENG,San Yang LIU.
Solvability of an Operator Equation in Partial Ordered Space. Acta Mathematica Sinica, Chinese Series, 2003, 46(2): 411-416 https://doi.org/10.12386/A2003sxxb0057