Existence of solutions to a class of nonlinear second order two-point boundary value problems

Abstract: In this paper, the existence and multiplicity results of solutions are obtained for the second order two-point boundary value problem for all subject to , where f is continuous. The monotone operator theory and critical point theory are employed to discuss this problem, respectively. In argument, quadratic root operator and its properties play an important role. [Copyright &y& Elsevier]