On second-order linear Stieltjes differential equations with non-constant coefficients

DOI10.1515/math-2024-0018MaRDI QIDQ6595208

Francisco J. Fernández, Fernández Tojo, Ignacio Márquez Albés

Publication date: 29 August 2024

Published in: Open Mathematics (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessWronskianHelmholtz equationsecond-orderStieltjes derivative

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) Linear ordinary differential equations and systems (34A30) Discontinuous ordinary differential equations (34A36)

Related Items (1)

The method of lower and upper solutions for second order periodic Stieltjes differential equations

Cites Work

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• Theory and applications of first-order systems of Stieltjes differential equations
• A new unification of continuous, discrete and impulsive calculus through Stieltjes derivatives
• High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension
• On first and second order linear Stieltjes differential equations
• Inverse scattering for the one-dimensional Helmholtz equation with piecewise constant wave speed
• Notes on the linear equation with Stieltjes derivatives
• Resolution methods for mathematical models based on differential equations with Stieltjes derivatives

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