DOI: 10.1515/dema-2025-0318 ISSN: 2391-4661

Existence and multiplicity results for third-order ordinary differential equations with derivative dependence subject to the Riemann–Stieltjes integral boundary conditions

Yue Du, Yujun Cui
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Abstract

We establish sufficient conditions for the existence and multiplicity of solutions to third-order ordinary differential equations involving all lower-order derivatives, subject to Riemann–Stieltjes integral boundary conditions. The analysis relies on the method of upper and lower solutions combined with the Leray–Schauder topological degree theory. Finally, examples are provided to illustrate the main results.

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