Lipschitzian generalized differential equations
C. J. Himmelberg; F. S. Van Vleck
Rendiconti del Seminario Matematico della Università di Padova (1972)
- Volume: 48, page 159-169
- ISSN: 0041-8994
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topHimmelberg, C. J., and Van Vleck, F. S.. "Lipschitzian generalized differential equations." Rendiconti del Seminario Matematico della Università di Padova 48 (1972): 159-169. <http://eudml.org/doc/107449>.
@article{Himmelberg1972,
author = {Himmelberg, C. J., Van Vleck, F. S.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {159-169},
publisher = {Seminario Matematico of the University of Padua},
title = {Lipschitzian generalized differential equations},
url = {http://eudml.org/doc/107449},
volume = {48},
year = {1972},
}
TY - JOUR
AU - Himmelberg, C. J.
AU - Van Vleck, F. S.
TI - Lipschitzian generalized differential equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1972
PB - Seminario Matematico of the University of Padua
VL - 48
SP - 159
EP - 169
LA - eng
UR - http://eudml.org/doc/107449
ER -
References
top- [B] Bielecki, A.: Une remarque sur la méthode de Banach-Cacciopoli-Tikhonov dans la théorie des équations différentielles ordinairies, Bull. Polish Acad. Sci.4 (1956), 261-264. Zbl0070.08103MR82073
- [C] Castaing, A.: Sur le graphe d'une multi-application Souslinienne (Mesurable), Faculté des Sciences de Montpellier, Mathématiques (1969). Zbl0217.09203MR255754
- [CN] Covitz, H. - Nalder, S.B. Jr.: Multi-valued contraction mappings in generalized metric space, Israel J. Math.8 (1970), 5-11. Zbl0192.59802MR263062
- [F] Filippov, A.F.: Classical solutions of differential equations with multi-valued right-hand sides, SIAM J. Control5 (1967), 609-621 (English Transl.). MR220995
- [H 1] Hermes H.: The generalized differential equation x∈R(t, x), Advanc. Math.4 (1970), 149-169. Zbl0191.38803
- [H 2] Hermes, H.: On the structure of attainable sets for generalized differential equations and control systems, J. Diff. Eqs.9 (1971), 141-154. Zbl0208.17203MR271504
- [HJV] Himmelberg, C. - Jacobs, M. - Vanvleck, F.: Measurable multifunctions, selectors, and Filippov's implicit functions lemma, J. Math. Anal. Appl.25 (1969), 276-284. Zbl0179.08303MR235089
- [K] Kikuchi, N.: On contingent equations satisfying the Carathéodory type conditions, RIMS. Kyoto Univ. Ser. A3 (1968), 361-371. Zbl0197.13106MR230973
- [KRN] Kuratowski, K. - RYLL-NARDZEWSKI: A general theorem on selectors, Bull. Polish Acad. Sci.13 (1965), 397-403. Zbl0152.21403MR188994
- [LO] Lasota, A. - Opial, Z.: An application of the Kakutani-Fan theorem in the theory of ordinary differential equations, Bull. Acad. Polon. Sci.13 (1965), 781-786. Zbl0151.10703MR196178
- [R] Rockafellar, R.T.: Measurable dependence of convex sets and functions on parameters, J. Math. Anal. Appl.28 (1969), 4-25. Zbl0202.33804MR247019
- [SD] Scorza Dragoni, G.: Un teorema sulle funzioni continue rispetto ad una e misurabili rispetto ad un'altra variabile, Rend. Sem. Mat. Univ. Padova17 (1948), 102-106. Zbl0032.19702MR28385
Citations in EuDML Documents
top- Nikolaos S. Papageorgiou, Random functional-differential inclusions with nonconvex right-hand side in a Banach space
- Adrian Petruşel, Fixed points for multifunctions on generalized metric spaces with applications to a multivalued Cauchy problem
- C. J. Himmelberg, Precompact contraction of metric uniformities, and the continuity of
- António Ornelas, A continuous version of the Filippov-Gronwall inequality for differential inclusions
- Nikolaos S. Papageorgiou, Parametrized relaxation for evolution inclusions of the subdifferential type
- Francesco Saverio De Blasi, Giulio Pianigiani, Evolution inclusions in non separable Banach spaces
- Filippo Cammaroto, Paolo Cubiotti, Vector integral equations with discontinuous right-hand side
- Paolo Cubiotti, Non-autonomous vector integral equations with discontinuous right-hand side
- Giovanni Anello, Paolo Cubiotti, Non-autonomous implicit integral equations with discontinuous right-hand side
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