RT Journal Article T1 Existence and multiplicity of solutions of Stieltjes differential equations via topological methods A1 Krajščáková, Věra A1 Fernández Tojo, Fernando Adrián K1 Stieltjes derivative K1 Green's functions K1 Differential equations K1 Fixed point index theory AB In 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. PB Springer YR 2024 FD 2024 LK http://hdl.handle.net/10347/34448 UL http://hdl.handle.net/10347/34448 LA eng NO Krajščáková, 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/s11784-024-01098-8 NO These contributions have greatly helped improve the manuscript. F. Adrián F. Tojo was partially supported by Grant PID2020-113275GB-I00 funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe” of the “European Union”. Věra Krajščáková was supported by Palacký University in Olomouc (grant no. IGA_PrF_2023_009) DS Minerva RD 23 abr 2026