Existence of positive solutions for third-order semipositone boundary value problems on time scales

Xinguang Zhang; Hui Tian; Yonghong Wu; Benchawan Wiwatanapataphee

doi:10.15388/namc.2023.28.30229

Articles

Xinguang Zhang

Yantai University

https://orcid.org/0000-0001-9250-6823

Hui Tian

Yantai University

https://orcid.org/0000-0001-7904-6738

Yonghong Wu

Curtin University

Benchawan Wiwatanapataphee

Curtin University

Published 2022-12-23

https://doi.org/10.15388/namc.2023.28.30229

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Keywords

existence of positive solution
semipositone
time scales
fixed point theorem
integral boundary conditions

How to Cite

Zhang, X. (2022) “Existence of positive solutions for third-order semipositone boundary value problems on time scales”, Nonlinear Analysis: Modelling and Control, 28(1), pp. 133–151. doi:10.15388/namc.2023.28.30229.

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Abstract

In this paper, we consider the existence of positive solutions for a semipositone third-order nonlinear ordinary differential equation on time scales. In suitable growth conditions, by considering the properties on time scales and establishing a special cone, some new results on the existence of positive solutions are established when the nonlinearity is semipositone.

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