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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Himmelberg, 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

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  1. [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
  2. [C] Castaing, A.: Sur le graphe d'une multi-application Souslinienne (Mesurable), Faculté des Sciences de Montpellier, Mathématiques (1969). Zbl0217.09203MR255754
  3. [CN] Covitz, H. - Nalder, S.B. Jr.: Multi-valued contraction mappings in generalized metric space, Israel J. Math.8 (1970), 5-11. Zbl0192.59802MR263062
  4. [F] Filippov, A.F.: Classical solutions of differential equations with multi-valued right-hand sides, SIAM J. Control5 (1967), 609-621 (English Transl.). MR220995
  5. [H 1] Hermes H.: The generalized differential equation x∈R(t, x), Advanc. Math.4 (1970), 149-169. Zbl0191.38803
  6. [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
  7. [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
  8. [K] Kikuchi, N.: On contingent equations satisfying the Carathéodory type conditions, RIMS. Kyoto Univ. Ser. A3 (1968), 361-371. Zbl0197.13106MR230973
  9. [KRN] Kuratowski, K. - RYLL-NARDZEWSKI: A general theorem on selectors, Bull. Polish Acad. Sci.13 (1965), 397-403. Zbl0152.21403MR188994
  10. [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
  11. [R] Rockafellar, R.T.: Measurable dependence of convex sets and functions on parameters, J. Math. Anal. Appl.28 (1969), 4-25. Zbl0202.33804MR247019
  12. [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

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  1. Nikolaos S. Papageorgiou, Random functional-differential inclusions with nonconvex right-hand side in a Banach space
  2. Adrian Petruşel, Fixed points for multifunctions on generalized metric spaces with applications to a multivalued Cauchy problem
  3. C. J. Himmelberg, Precompact contraction of metric uniformities, and the continuity of F ( t , x )
  4. António Ornelas, A continuous version of the Filippov-Gronwall inequality for differential inclusions
  5. Nikolaos S. Papageorgiou, Parametrized relaxation for evolution inclusions of the subdifferential type
  6. Francesco Saverio De Blasi, Giulio Pianigiani, Evolution inclusions in non separable Banach spaces
  7. Filippo Cammaroto, Paolo Cubiotti, Vector integral equations with discontinuous right-hand side
  8. Paolo Cubiotti, Non-autonomous vector integral equations with discontinuous right-hand side
  9. Giovanni Anello, Paolo Cubiotti, Non-autonomous implicit integral equations with discontinuous right-hand side

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