Krajščáková, VěraFernández Tojo, Fernando Adrián2024-07-122024-07-122024Krajščáková, V., Tojo, F.A.F. Existence and multiplicity of solutions of Stieltjes differential equations via topological methods. J. Fixed Point Theory Appl. 26, 9 (2024). https://doi.org/10.1007/s11784-024-01098-8http://hdl.handle.net/10347/34448In this work, we use techniques from Stieltjes calculus and fixed point index theory to show the existence and multiplicity of solution of a first order non-linear boundary value problem with linear boundary conditions that extend the periodic case. We also provide the Green’s function associated to the problem as well as an example of application.eng© The Author(s) 2024. Open Access This article is licensed under a Creative Commons Attribution 4.0 International Licensehttp://creativecommons.org/licenses/by/4.0/Stieltjes derivativeGreen's functionsDifferential equationsFixed point index theoryjournal article10.1007/s11784-024-01098-8open access