Dependence of solutions and eigenvalues of measure differential equations on measures

DOI10.1016/j.jde.2012.12.001zbMath1267.34014OpenAlexW2044718862MaRDI QIDQ1941135

Meirong Zhang, Gang Meng

Publication date: 11 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.jde.2012.12.001

zbMATH Keywords

total variationFréchet differentiabilityweak\(^*\) topologycontinuous dependence of solutionsextremal eigenvalue problemgeneralized derivativegeneralized differential equationcontinuous dependence of eigenvaluessecond-order linear measure differential equationStieltjes integral equation

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Sturm-Liouville theory (34B24) Integration with respect to measures and other set functions (28A25) Linear ordinary differential equations and systems (34A30) Discontinuous ordinary differential equations (34A36) Linear integral equations (45A05) Continuity properties of mappings on manifolds (58C07) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

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