Semicontinuous differential inclusions

Tzanko Donchev

Rendiconti del Seminario Matematico della Università di Padova (1999)

  • Volume: 101, page 147-160
  • ISSN: 0041-8994

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Donchev, Tzanko. "Semicontinuous differential inclusions." Rendiconti del Seminario Matematico della Università di Padova 101 (1999): 147-160. <http://eudml.org/doc/108481>.

@article{Donchev1999,
author = {Donchev, Tzanko},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {ordinary differential equation; differential inclusion; Cauchy problem; Banach space; solution set},
language = {eng},
pages = {147-160},
publisher = {Seminario Matematico of the University of Padua},
title = {Semicontinuous differential inclusions},
url = {http://eudml.org/doc/108481},
volume = {101},
year = {1999},
}

TY - JOUR
AU - Donchev, Tzanko
TI - Semicontinuous differential inclusions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1999
PB - Seminario Matematico of the University of Padua
VL - 101
SP - 147
EP - 160
LA - eng
KW - ordinary differential equation; differential inclusion; Cauchy problem; Banach space; solution set
UR - http://eudml.org/doc/108481
ER -

References

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  1. [1] M. Arrate, Local existence of solutions for ordinary differential equations involving dissipative and compact functions, J. Math. Anal. Appl., 145 (1990), pp. 39-44. Zbl0684.34061MR1031173
  2. [2] D. Bothe, Multivalued perturbations of m-accretive differential inclusions, submitted. Zbl0922.47048
  3. [3] D. Bothe, Multivalued Differential Equations on Graphs and Applications, Ph. D. thesis, Paderborn (1992). Zbl0789.34013
  4. [4] A. Bressan, Upper and LowerSemicontinuous Differential Inclusions. A Unified Approach, in H. SUSMAN (edt.) Controllability and Optimal Control, Marcel Dekker (1989). Zbl0704.49011MR1061382
  5. [5] A. Bressan - G. Colombo, Selections and representations of multifunctions in paracompact spaces, Studia Math., 102 (1992), pp. 209-216. Zbl0807.54020MR1170551
  6. [6] A. Bressan - V. Staicu, On nonconvex perturbation of maximal monotone differential inclusions, Set-Valued Analysis, 2 (1994), pp. 415-437. Zbl0820.47072MR1304047
  7. [7] K. Deimling, Multivalued Differential Equations, De Gruyter, Berlin (1992). Zbl0760.34002MR1189795
  8. [8] T. Donchev - R. Ivanov, On the existence of solutions of differential inclusions in uniformly convex banach spaces, Matematica Balkanica, 6 (1992), pp. 13-24. Zbl0831.34013MR1170727
  9. [9] A. Dontchev - F. Lempio, Difference method for differential inclusions: a survey, SIAM Review, 34 (1992), pp. 263-294. Zbl0757.34018MR1166177
  10. [10] L. Gornievicz - A. Granas - W. Kryszewski, Sur la Metode de L'homotopie dans la Theorie des Point Fixes pour les Applications Multivoques, Parte 2: L'indice dans les ANRs Compactness, C.R. Acad. Sci. Paris, 308 (1989), pp. 440-452. Zbl0678.54033
  11. [11] A. Plis, Trajectories and quasitrajectories of an orientor field, Bull. Acad. Polon. Sci., Ser. Math., 11 (1963), pp. 369-370. Zbl0124.29404MR155072
  12. [12] V. Veliov, Diferential inclusions with stable subinclusions, Nonlinear Analysis, 23 (1994), pp. 1027-1038. Zbl0816.34011MR1304242

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