Extremal solutions of systems of measure differential equations and applications in the study of Stieltjes differential problems

DOI10.14232/ejqtde.2018.1.38zbMath1413.34061arXiv1803.08860OpenAlexW2963171387MaRDI QIDQ4584623

Ignacio Márquez Albés, Giselle Antunes Monteiro, Rodrigo López Pouso

Publication date: 3 September 2018

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08860

zbMATH Keywords

extremal solutionsmeasure differential equationslower solutionupper solutionStieltjes derivatives

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Discontinuous ordinary differential equations (34A36)

Related Items (14)

Systems of Stieltjes differential equations with several derivators ⋮ On first and second order linear Stieltjes differential equations ⋮ Notes on the existence and uniqueness of solutions of Stieltjes differential equations ⋮ Systems of Stieltjes differential equations and application to a predator-prey model of an exploited fishery ⋮ Stieltjes analytic functions and higher order linear differential equations ⋮ Extremal solutions for measure differential inclusions via Stieltjes derivatives ⋮ Existence and multiplicity of solutions of Stieltjes differential equations via topological methods ⋮ Existence and Stability of Solutions for Linear and Nonlinear Stieltjes Differential Equations ⋮ Massera's theorems for various types of equations with discontinuous solutions ⋮ Existence and uniqueness of solution for Stieltjes differential equations with several derivators ⋮ Existence of extremal solutions for discontinuous Stieltjes differential equations ⋮ Existence of solution for non-autonomous semilinear measure driven equations ⋮ On approximate controllability of non-autonomous measure driven systems with non-instantaneous impulse ⋮ Existence and multiplicity results for first-order Stieltjes differential equations

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