Existence and multiplicity results for third-order ordinary differential equations with derivative dependence subject to the Riemann–Stieltjes integral boundary conditions
Year: 2026
Type: article
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.
Source: Demonstratio Mathematica
Institution: Shandong University of Science and Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,187
OpenAlex ID: W7223205491