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Pelant, Martin ; Tvrdý, Milan
Linear distributional differential equations in the space of regulated functions. (English). Mathematica Bohemica, vol. 118 (1993), issue 4, pp. 379-400
MSC: 34A12, 34A30, 34A37, 46F99, 46N20 | MR 1251883 | Zbl 0796.34014 | DOI: 10.21136/MB.1993.126158
Keywords:
Perron-Stieltjes integral; Kurzweil integral; distributional coefficients; regulated functions; generalized linear differential equation; existence; uniqueness; variation-of-constants formula; distribution
Summary:
In the paper existence and uniqueness results for the linear differential system on the interval [0,1] $A_1(A_0x)'-A'_2x=f'$ with distributional coefficients and solutions from the space of regulated functions are obtained.
References:
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