Positive Solutions for a Fourth-Order Riemann–Stieltjes Integral Boundary Value Problem

Yujun Cui, Donal O’Regan and Jiafa Xu

Mathematical Problems in Engineering, 2019, vol. 2019, 1-12

Abstract:

In this paper, we use the fixed point index to study the existence of positive solutions for the fourth-order Riemann–Stieltjes integral boundary value problem , where : is a continuous function and denotes a linear function. Two existence theorems are obtained with some appropriate inequality conditions on the nonlinearity f , which involve the spectral radius of related linear operators. These conditions allow to have superlinear or sublinear growth in .

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:3748631

DOI: 10.1155/2019/3748631

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