Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects

Abstract EN

The author considers the Neumann boundary value problem - y ′ ′ t + M y t = λ ω t f t , y t ,     t ∈ J ,     t ≠ t k , - Δ y ′ | t = t k = λ I k t k , y t k ,   k = 1,2 , … , m , y ′ ( 0 ) = y ′ ( 1 ) = 0 and establishes the dependence results of the solution on the parameter λ , which cover equations without impulsive effects and are compared with some recent results by Nieto and O’Regan.