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Peer-reviewedCC BYDemonstratio Mathematica

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

  • Du Yue1
  • Cui Yujun1
  1. 1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao266590, China
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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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Cite

BibTeXRIS
BibTeX
@article{yue2026existence,
  title = {{Existence and multiplicity results for third-order ordinary differential equations with derivative dependence subject to the Riemann–Stieltjes integral boundary conditions}},
  author = {Du Yue and Cui Yujun},
  journal = {Demonstratio Mathematica},
  year = {2026},
  month = oct,
  doi = {10.1515/dema-2025-0318},
  url = {https://doi.org/10.1515/dema-2025-0318},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Existence and multiplicity results for third-order ordinary differential equations with derivative dependence subject to the Riemann–Stieltjes integral boundary conditions
AU  - Du Yue
AU  - Cui Yujun
PY  - 2026
DA  - 2026/10/26
JO  - Demonstratio Mathematica
DO  - 10.1515/dema-2025-0318
UR  - https://doi.org/10.1515/dema-2025-0318
AB  - 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.
SN  - 2391-4661
ER  -