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Literature Cited
A. F. Filippov, “Classical solutions of differential equations with multivalued right side,“ Vestn. Mosk. Gos. Univ. Ser. Mat., Mekh., No. 3, 16–26 (1967).
A. F. Filippov, “Existence of solutions of multivalued differential equations,” Mat. Zametki,10, No. 3, 307–313 (1971).
J. L. Davy, “Properties of the solution set of a generalized differential equation,” Bull. Austral. Math. Soc.,6, No. 3, 379–398 (1972).
V. I. Blagodatskikh, “Some results on the theory of differential inclusions,” in: Summer School on Ordinary Differential Equations, Part II, UJEP, Brno (1975), pp. 29–67.
A. V. Bogatyrev, “Fixed points and properties of solutions of differential inclusions,” Izv. Akad. Nauk SSSR, Ser. Mat.,47, No. 4, 895–909 (1983).
E. A. Barbashin, “Theory of generalized dynamical systems,” Uch. Zap. Mosk. Gos. Univ., Mat.,11, No. 135, 110–133 (1949).
M. N. Minkevich, “Theory of integral whirlpools in dynamical systems without uniqueness,” Uch. Zap. Mosk. Gos. Univ., Mat.,11, No. 135, 134–151 (1949).
N. P. Erugin, Book of Readings for the General Course in Differential Equations [in Russian], 3rd ed., Nauka i Tekhnika, Minsk (1979).
A. I. Panasyuk and V. I. Panasyuk, Asymptotic Optimization of Nonlinear Control Systems [in Russian], Belorussian State Univ., Minsk (1977).
A. I. Panasyuk and V. I. Panasyuk, “An equation generated by a differential inclusion,” Mat. Zametki,27, No. 3, 429–437 (1980).
A. A. Tolstonogov, “Integral whirlpool equation of a differential inclusion,” Mat. Zametki,32, No. 6, 841–852 (1982).
A. A. Tolstonogov, “Solution of the integral whirlpool equation of a differential inclusion,” Differents. Uravn., No. 2, 358–359 (1984).
A. N. Godunov, “Properties of differential equations in locally convex spaces,” Author's Abstract of Candidate's Thesis, Moscow State Univ. (1973).
W. Rudin, Functional Analysis [Russian translation], Mir, Moscow (1975).
A. I. Panasyuk, “Equations of attainability domains and their application to problems of optimal control,” Avtomat. Telemekh., No. 5, 67–78 (1982).
A. I. Ovseevich and F. L. Chernous'ko, “Bilateral estimates of attainability domains of controlled systems,” Prikl. Mat. Mekh.,46, No. 5, 737–744 (1982).
V. M. Kuntsevich and M. M. Lychak, “Elements of the theory of evolution of sets and stability of these processes,” Kibernetika, No. 1, 105–111 (1983).
V. A. Plotnikov, “Averaging differential inclusions,” Ukr. Mat. Zh.,31, No. 5, 573–576 (1979).
É. D. Polityko, A. I. Panasyuk, and V. I. Panasyuk, “New method of calculating the optimal control of an asynchronous electrodrive considering electromagnetic processes,” Izv. Vyssh. Uchebn. Zaved., Elektromekh. No. 4, 435–438 (1981).
G. N. Konstantinov, Normalized Actions on Dynamical Systems [in Russian], Irkutsk State Univ. (1983).
V. I. Gurman, Extension Principle in Control Problems [in Russian], Nauka, Moscow (1985).
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Minsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 27, No. 5, pp. 155–165, September–October, 1986.
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Panasyuk, A.I. Dynamics of sets defined by differential inclusions. Sib Math J 27, 757–765 (1986). https://doi.org/10.1007/BF00969205
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DOI: https://doi.org/10.1007/BF00969205