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Weak stability of multivalued differential equations. (English) Zbl 0343.34044


MSC:

34D20 Stability of solutions to ordinary differential equations
49J45 Methods involving semicontinuity and convergence; relaxation

References:

[1] Aumann J. R.: Integrals of set-valued functions. Journal of Math. Anal. and Appl. 12, 1965, pp. 1-12. · Zbl 0163.06301 · doi:10.1016/0022-247X(65)90049-1
[2] Cellina A.: Multivalued differential equations and ordinary differential equations. SIAM, Journal Appl. Math. Vol. 18, No. 2, March 1970 pp. 533-538. · Zbl 0191.38802 · doi:10.1137/0118046
[3] Kuratowski K.: Topology, vol. I. (Russian), izd. MIR, Moskva 1966. · Zbl 0158.40901
[4] Olech C.: Existence of solutions of non-convex orientor fields. Difford 1974, Summer school on ordinary differential equations, Brno 1974, pp. 61 - 70. · Zbl 0285.34008
[5] Sierpiński W.: Cardinal and ordinal numbers. PWN, Warszawa 1965. · Zbl 0131.24801
[6] Yorke J.: Extending Liapunov’s second method to non-Lipschitz Liapunov functions. Seminar on Differential Equations and ... pp. 31 - 36, Springer, Berlin, 1968. · Zbl 0179.13401
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