Continuous parameter dependence for solutions of one-dimensional boundary value problems

2011/06/21 by Tanya Kodliuk, Kodliuk, Tanya, Vladimir Mikhailets +3
Computer Science · Engineering · Mathematics · #34B08 #34B27 #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Material Science and Thermodynamics #Mathematical Control Systems and Analysis #math.AP #msc:34B08 #msc:34B27

paper · pdf · doi:10.48550/arxiv.1106.4174

arxiv created 2011/06/21 · openalex publication_date 2011/06/21 · arxiv updated 2011/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate continuous parameter dependence for solutions of general boundary value problems for ordinary linear differential systems. The generalization of Kiguradze's theorem (1987) on correctness of such problems was obtained. Also sufficient conditions for the Green matrices of such problems to converge uniformly to the Green matrix of the limiting problem were found.

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