On distributional solutions of some systems of linear differential equations

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1. V. Doležal, Dynamics of linear systems, Praha 1964. (1964) MR0169744
2. J. Kurzweil, Linear differential equations with distributions as coefficients, Bull. Acad. Polon. Sci. Ser. math. astr. et phys., 7 (1959), 557-560. (1959) Zbl0117.34401MR0111887
3. A. Lasota J. Traple, Nicoletti boundary value problem for systems of linear differential equations with distributional perturbations, Zeszyty Naukowe U. J., Prace Matematyczne, 15 (1971), 103-108. (1971) MR0369785
4. J. Ligeza, On the existence of the product of a measure and a function of locally bounded variation, (to appear), Studia Math.. 
5. J. Ligeza, The existence and the uniqueness of distributional solutions of some systems of non-linear differential equations, Čas. pěst. mat. 102 (1977), 30-36. (1977) Zbl0345.34002MR0460756
6. J. Ligeza, Cauchy's problem for systems of linear differential equations with distributional coefficients, Colloquium Math., 33 (1975), 295-303. (1975) Zbl0321.34002MR0399542

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