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References:

[1] P. Antosik, J. Mikusiński, R. Sikorski: **Theory of Distributions—the Sequential Aproach**. Elsevier Scientific Publishing Company, Amsterdam, Polish Scientific Publishers, Warsaw, 1973. MR 0365130

[2] J.A. Clarkson, C.R. Adams: **On definitions of bounded variation for functions of two variables**. Trans. Amer. Math. Soc. 35 (1933), 824–854. DOI 10.1090/S0002-9947-1933-1501718-2 | MR 1501718

[3] A. Halanay, D. Wexler: **Qualitative Theory of Impulsive Systems**. Moscow, 1971. (Russian)

[4] I. Halparin: **Introduction to the Theory of Distributions**. University of Toronto Press, Toronto, 1952. (Russian)

[5] T.H. Hildebrandt: **Introduction to the Theory of Integration**. Academic Press, New York-London, 1963. MR 0154957 | Zbl 0112.28302

[6] D. Idczak: **Functions of several variables of finite variation and their differentiability**. Annales Pol. Math. 60 (1994), no. 1, 47–56. MR 1295107 | Zbl 0886.26007

[7] J. Kurzweil: **Generalized ordinary differential equations**. Czechoslovak Math. J. 8 (1958), no. 83, 360–388. MR 0111878 | Zbl 0102.07003

[8] J. Kurzweil: **On generalized ordinary differential equations with discontinuous solutions**. Prikl. Mat. Mech. 22 (1958), 27–45. MR 0111876

[9] J. Kurzweil: **Linear differential equations with distributions as coefficients**. Bull. Acad. Pol. Sci., ser. Math. Astr. Phys. 7 (1959), 557–560. MR 0111887 | Zbl 0117.34401

[10] V. Lakshmikantham: **Trends in the theory of impulsive differential equations**. Proceedings of the International Conference on Theory and Applications of Differential Equations, Ohio University, 1988. MR 1026202

[11] A. Lasota: **Remarks on linear differential equations with distributional perturbations**. Ordinary differential equations (Proc. NRL–MRC Conf. Math. Res. Center, Naval Res. Lab., Washington, D.C., 1971), New York, Academic Press, 1972, pp. 489–495. MR 0473282 | Zbl 0309.34007

[12] J. Ligeza: **On distributional solutions of some systems of linear differential equations**. Čas. pro Pěst. Mat. 102 (1977), 37–41. MR 0460757 | Zbl 0345.34003

[13] S. Łojasiewicz: **An Introduction to the Theory of Real Functions**. John Willey and Sons, Chichester, 1988.

[14] R. Pfaff: **Generalized systems of linear differential equations**. Proc. of the Royal Sci. of Edinburgh, sect. A 89 (1981), 1–14. MR 0628123 | Zbl 0475.34005

[15] W. W. Schmaedeke: **Optimal control theory for nonlinear vector-differential equations containing measures**. SIAM Control 3 (1965), no. 2, 231–280. MR 0189870 | Zbl 0161.29203

[16] L. Schwartz: **Théorie des Distributions I**. Paris, 1950.

[17] R. Sikorski: **Funkcje Rzeczywiste I**. PWN, Warszawa, 1958. MR 0105468

[18] S. Walczak: **Absolutely continuous functions of several variables and their application to differential equations**. Bull. Polish Acad. Sci. Math. 35 (1987), no. 11–12, 733–744. MR 0961712 | Zbl 0691.35029

[19] Z. Wyderka: **Linear Differential Equations with Measures as Coefficients and Control Theory**. Siles. Univ. Press, Katowice, 1994. MR 1292252 | Zbl 0813.34058

[20] Z. Wyderka: **Linear differential equations with measures as coefficients and the control theory**. Čas. pro Pěst. Mat. 114 (1989), no. 1, 13–27. MR 0990112 | Zbl 0664.34013