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Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter. (English) Zbl 1174.34303
Summary: We study the problem of continuous dependence on a parameter for generalized linear ordinary differential equations in the case when uniform convergence is violated. This work continues research of M. Ashordia [Proc. Georgian Acad. Sci., Math. 1, No. 4, 385–394 (1993; Zbl 0797.34015)] and M. Tvrdý [Differential and integral equations in the space of regulated functions. Mem. Differ. Equ. Math. Phys. 25, 1–104 (2002; Zbl 1081.34504)].
MSC:
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems, general
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