Asymptotic and integral equivalence of multivalued differential systems
Alexander Haščák
Source: Hiroshima Math. J. Volume 20, Number 2
(1990), 425-442.
First Page:
Show
Hide
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.hmj/1206129191
Mathematical Reviews number (MathSciNet): MR1063376
Zentralblatt MATH identifier: 0713.34076
References
[1] S. Banach and S. Saks, Sur la convergence forte dans les champs Lp, Studia Math., 2 (1930), 51-57.
Jahrbuch database (Zbl): 56.0932.01
[2] C. Berge, Espaces topologiques, Fonctions multivoques, Paris, 1966.
Zentralblatt MATH: 0164.52902
[3] F. Brauer and J. Wong, On the asymptotic relationship between solutions of two systems of ordinary differential equations, J. Differential Equations, 6 (1969), 527-543.
Zentralblatt MATH: 0185.16601
Mathematical Reviews (MathSciNet): MR252765
[4] R. Engelking, General topology, PWN-Warszawa, 1985.
Zentralblatt MATH: 0373.54001
Mathematical Reviews (MathSciNet): MR862623
[5] T. Hallam, On asymptotic equivalence of the bounded solutions of two systems of differential equations, Michigan Math. J., 16 (1969), 353-363.
Zentralblatt MATH: 0191.10401
Mathematical Reviews (MathSciNet): MR252766
[6] A. Hascak, Fixed-point theorems for multivalued mappings, Czech. Math. J., 35 (1985), 533-542.
Zentralblatt MATH: 0608.47063
Mathematical Reviews (MathSciNet): MR809039
[7] A. Hascak, Integral equivalence of multivalued differential systems I, Acta Math. Univ. Comeniae (Bratislava) XLVI-XLVII, 1985, 205-215.
Zentralblatt MATH: 0614.34017
Mathematical Reviews (MathSciNet): MR872343
[8] A. Hascak, Integral equivalence of multivalued differential systems II, Colloquia Mathematica Societatis J. Bolyai, 47, Diff. Eq., Szeged (Hungary) 1984, 399-412.
Zentralblatt MATH: 0645.34034
Mathematical Reviews (MathSciNet): MR890554
[9] A. Hascak, A strong convergence in Lp and upper ^-continuous operators, Czech. Math. J., 38 (1988), 420-424.
Zentralblatt MATH: 0677.46018
Mathematical Reviews (MathSciNet): MR950295
[10] A. Hascak and M. Svec, Integral equivalence of two systems of differential equations, Czech. Math. J., 32 (1982), 423-436.
Zentralblatt MATH: 0515.34025
Mathematical Reviews (MathSciNet): MR669785
[11] S. Mazur, Uber konvexe Mengen in linear normierten Raumen, Studia Math., 5 (1933), 70-84.
Zentralblatt MATH: 0008.31603
[12] F. Riesz and B. Sz.-Nagy, Lecons d'analyse fonctionelle, Budapest, 1972.
Zentralblatt MATH: 0122.11205
[13] Sek Wui Seah, Asymptotic equivalence of multivalued differential systems, Boll. U.M.I., (5) 17-B (1980), 1124-1145.
Zentralblatt MATH: 0458.34009
Mathematical Reviews (MathSciNet): MR770837
[14] W. Sobieszek, On the point-to-set mappings and functions maximum related to them, Demonstratio Mathematica, 7 (1974), 483-494.
Zentralblatt MATH: 0356.54018
Mathematical Reviews (MathSciNet): MR375226
[15] W. Sobieszek and P. Kowalski, On the different definitions of the lower semicontinuity, upper semicontinuity, semicompacity, closity and continuity of the point-to-set maps, Demonstratio Mathematica, 11(1978), 1053-1063.
Zentralblatt MATH: 0408.54001
Mathematical Reviews (MathSciNet): MR529647
[16] M. Svec, Fixpunktsatz und monotone Lsungen der Diferentialgleichung y(n)+ B(x, y, y',..., y(n -")y = 0, Archivum Mathematicum (Brno), 2 (1966), 43-55.
Zentralblatt MATH: 0216.41003
Mathematical Reviews (MathSciNet): MR206368
[17] M. Svec, Integral and asymptotic equivalence of two systems of differential equations, Teubner-Texte, Band 47, Equadiff 5, Proceedings of the conference held in Bratislava, 1981, 329-338.
Zentralblatt MATH: 0524.34041
Mathematical Reviews (MathSciNet): MR716002
[18] P. Talpalaru, Quelques problems concernant equivalence asymptotique des systems differentiels, Boll. U.M.I., 4 (1971), 164-186.
Zentralblatt MATH: 0214.35001
Mathematical Reviews (MathSciNet): MR298149
[19] K. Yosida, Functional Analysis, Springer-Verlag, 1965.
Hiroshima Mathematical Journal