RT Journal Article
T1 Resolution methods for mathematical models based on differential equations with Stieltjes derivates
A1 López Pouso, Rodrigo
A1 Márquez Albés, Ignacio
K1 Stieltjes differential equations
K1 Dynamic equations
K1 Separation of variables
K1 Biological models
AB Stieltjes differential equations, i.e. differential equations with usual derivatives replaced by derivatives with respect to given functions (derivators), are useful to model processes which exhibit dead times and/or sudden changes. These advantages of Stieltjes equations are exploited in this paper in the analysis of two real life models: first, the frictionless motion of a vehicle equipped with an electric engine and, second, the evolution of populations of cyanobacteria Spirullina plantensis in semicontinuous cultivation processes. Furthermore, this is not only a paper on applications of known results. For the adequate analysis of our mathematical models we first deduce the solution formula for Stieltjes equations with separate variables. Finally, we show that differential equations with Stieltjes derivatives reduce to ODEs when the derivator is continuous, thus obtaining another resolution method for more general cases.
PB University of Szeged
YR 2019
FD 2019
LK http://hdl.handle.net/10347/21168
UL http://hdl.handle.net/10347/21168
LA eng
NO López Pouso, R. and Albés, I., 2019. Resolution methods for mathematical models based on differential equations with Stieltjes derivatives. Electronic Journal of Qualitative Theory of Differential Equations, (72), 1-15
NO Rodrigo López Pouso was partially supported by Ministerio de Economía y Competitividad,Spain, and FEDER, Project MTM2016-75140-P and Xunta de Galicia under grant ED431C2019/02. Ignacio Márquez Albés was supported by Xunta de Galicia under grants ED481A-2017/095 and ED431C 2019/02
DS Minerva
RD 24 abr 2026