A differentmonotone iterative technique for a class of nonlinear three-point BVPs

Abstract

Thiswork examines the existence of the solutions of a class of three-point nonlinear boundary value problems that arise in bridge design due to its nonlinear behavior.Amaximum and antimaximum principles are derived with the support of Green’s function and their constant sign. A different monotone iterative technique is developed with the use of lower solution x(z) and upper solution y(z). We have also discussed the classification of well ordered (x ≤ y) and reverse ordered (y ≤ x) cases for both positive and negative values of sup ∂ f ∂w . Established results are verified with the help of some examples.