Second-order coupled integral boundary value problems at resonance
Articles
Yue Du
Shandong University of Science and Technology image/svg+xml
Yujun Cui
Shandong University of Science and Technology image/svg+xml
Published 2026-06-11
https://doi.org/10.15388/namc.2026.31.47341
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Keywords

positive solution
coupled integral boundary value problem
Riemann–Stieltjes integral
resonance

How to Cite

Du, Y. and Cui, Y. (2026) “Second-order coupled integral boundary value problems at resonance”, Nonlinear Analysis: Modelling and Control, 31, pp. 1–19. doi:10.15388/namc.2026.31.47341.

Abstract

This paper investigates the existence of positive solutions for a resonant system of nonlinear differential equations subject to coupled integral boundary conditions involving Riemann–Stieltjes integral. Our analysis is based on Leggett–Williams norm-type theorem for coincidence equations due to O’Regan and Zima. By employing a general abstract framework, we obtain new existence criteria that complement and extend recent results in the literature.

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