Geodesic
Linear distributional differential equations in the space of regulated functions
Mathematica Bohemica, Tome 118 (1993) no. 4, pp. 379-400

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MR Zbl
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.
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.
DOI : 10.21136/MB.1993.126158
Classification : 34A12, 34A30, 34A37, 46F99, 46N20
Keywords: Perron-Stieltjes integral; Kurzweil integral; distributional coefficients; regulated functions; generalized linear differential equation; existence; uniqueness; variation-of-constants formula; distribution 
Pelant, Martin; Tvrdý, Milan. Linear distributional differential equations in the space of regulated functions. Mathematica Bohemica, Tome 118 (1993) no. 4, pp. 379-400. doi: 10.21136/MB.1993.126158
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