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Solutions of evolution inclusions. I

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Literature Cited

  1. H. H. Schaefer, Topological Vector Spaces, MacMillan, New York (1966).

    Google Scholar 

  2. V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Ed. Acad, Bucharest, and Nordhof, Leyden (1976).

    Google Scholar 

  3. H. Brezis, “New results concerning monotone operators and nonlinear semigroups”, Proc. Sympos. RIMS Kyoto Univ., No. 258, 2–27 (1975).

    Google Scholar 

  4. S. Gutman, “Existence theorems for nonlinear evolution equations”, Nonlinear Anal., Theory. Meth., Appl.,11, No. 10, 1103–1206 (1987).

    Google Scholar 

  5. C. J. Himmelberg, “Measurable relations”, Fund. Math.,97, No. 1, 53–72 (1975).

    Google Scholar 

  6. A. A. Tolstonogov, Differential Inclusions in Banach Space [in Russian], Nauka, Novosibirsk (1986).

    Google Scholar 

  7. K. Yosida, Functional Analysis, Springer-Verlag, Berlin (1965).

    Google Scholar 

  8. N. Papageorgiou, “On the theory of Banach space valued multifunctions. I. Integration and conditional expectation”, J. Multivar. Anal.,17, No. 2, 185–206 (1985).

    Google Scholar 

  9. E. Schechter, “Evolution generated by semilinear dissipative plus compact operators”, Trans. Am. Math. Soc.,275, No. 1, 297–308 (1983).

    Google Scholar 

  10. Van Chu'o'ng Phan, “A density theorem with an application in relaxation of nonconvexvalued differential equations”, in: Sém. Anal. Convexe,15, No. 2 (1985).

  11. H. Frankowska, “A priori estimates for operational differential inclusions”, J. Dif. Eq.,84, No. 1, 100–128 (1980).

    Google Scholar 

  12. A. F. Filippov, “Classical solutions of differential equations with multivalued right-hand side”, Vest. Mosk. Gos. Univ., Ser. 1, Mat. Mekh., No. 3, 16–26 (1967).

    Google Scholar 

  13. R. I. Kozlov, “Concerning the theory of differential equations with discontinuous right-hand sides”, Differents. Uravn.,10, No. 7, 1264–1275 (1974).

    Google Scholar 

  14. M. Kisielewicz, “Multivalued differential equations in separable Banach spaces”, J. Optim. Theory Appl.,37, No. 2, 231–249 (1982).

    Google Scholar 

  15. A. A. Levakov, “Some properties of solutions of differential inclusions in Banach space”, Vestn. Belorus. Univ., Ser. 1, Fiz. Mat. Mekh., No. 2, 54–56 (1981).

    Google Scholar 

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  1. A. A. Tolstonogov
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Irkutsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 33, No. 3, pp. 161–174, May–June, 1992.

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Tolstonogov, A.A. Solutions of evolution inclusions. I. Sib Math J 33, 500–511 (1992). https://doi.org/10.1007/BF00970899

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