Solving the boundary value problem of the first-order measure differential equations

DOI10.1090/PROC/16959MaRDI QIDQ6621290

Junning Cai, Yonghui Xia

Publication date: 18 October 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

existenceboundary value problemsmeasure differential equationequiregulated

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Green's functions for ordinary differential equations (34B27) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Cites Work

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• Extremal solutions of measure differential equations
• Extremal eigenvalues of measure differential equations with fixed variation
• On eigenvalues of second order measure differential equation and minimization of measures
• Dependence of solutions and eigenvalues of measure differential equations on measures
• Continuity and minimization of spectrum related with the periodic Camassa-Holm equation
• Continuous dependence and estimates of eigenvalues for periodic generalized Camassa-Holm equations
• Existence of solutions for semilinear measure driven equations
• Stability and asymptotic equivalence of measure differential equations
• Asymptotically self invariant sets and stability of measure differential equations
• The Lebesgue-Stieltjes Integral
• Minimization of lowest positive periodic eigenvalue for the Camassa–Holm equation with indefinite potential
• Extremal problems for eigenvalues of measure differential equations
• Optimal Control Theory for Nonlinear Vector Differential Equations Containing Measures
• Existence and stability of measure differential equations
• Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems
• Sharp bounds for Dirichlet eigenvalue ratios of the Camassa-Holm equations
• Optimization problems on nodes of Sturm-Liouville operators with \(L^p\) potentials

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