Geodesic
On nonconvex valued Volterra integral inclusions in Banach spaces
Czechoslovak Mathematical Journal, Tome 44 (1994) no. 4, pp. 631-648
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1994.128485
Classification : 34K30, 45G10, 45N05, 47H05, 47H99, 47N20 
@article{10_21136_CMJ_1994_128485,
     author = {Papageorgiou, Nikolaos S.},
     title = {On nonconvex valued {Volterra} integral inclusions in {Banach} spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {631--648},
     year = {1994},
     volume = {44},
     number = {4},
     doi = {10.21136/CMJ.1994.128485},
     mrnumber = {1295140},
     zbl = {0822.45008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128485/}
}
TY  - JOUR
AU  - Papageorgiou, Nikolaos S.
TI  - On nonconvex valued Volterra integral inclusions in Banach spaces
JO  - Czechoslovak Mathematical Journal
PY  - 1994
SP  - 631
EP  - 648
VL  - 44
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128485/
DO  - 10.21136/CMJ.1994.128485
LA  - en
ID  - 10_21136_CMJ_1994_128485
ER  - 
%0 Journal Article
%A Papageorgiou, Nikolaos S.
%T On nonconvex valued Volterra integral inclusions in Banach spaces
%J Czechoslovak Mathematical Journal
%D 1994
%P 631-648
%V 44
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128485/
%R 10.21136/CMJ.1994.128485
%G en
%F 10_21136_CMJ_1994_128485
Papageorgiou, Nikolaos S. On nonconvex valued Volterra integral inclusions in Banach spaces. Czechoslovak Mathematical Journal, Tome 44 (1994) no. 4, pp. 631-648. doi: 10.21136/CMJ.1994.128485

[1] J. Banas and K. Goebel: Measures of Noncompactness in Banach Spaces. Marcel-Dekker, New York, 1980. | MR

[2] M. Banamara: Points Extremaux, Multi-applications et Fonctionelles Intégrales. Thèse du 3ème cycle, Universtité de Grenoble, 1975.

[3] N. Bourbaki: Expaces Vectoriels Topologiques. Hermann, Paris, 1967.

[4] A. Bressan and G. Colombo: Extensions and selections of maps with decomposable values. Studia Math. 90 (1988), 69–86. | DOI | MR

[5] A.Bulgakov and L. Lyapin: Some propersties of the set of solutions of Volterra-Hammerstein integral inclusions. Differential Equations 14 (1979), 1043–1048.

[6] P.–V. Chuong: Existence of solutions for random multivalued Volterra integral inclusions. J. Integral Egns. 7 (1984), 143–173. | MR

[7] A. Friedman: Parabolic Partial Differential Equations. Krieger, New York, 1976.

[8] H.–P. Heinz: Theorems of Ascoli-type involving measures of noncompactness. Nonl. Anal. - TMA 5 (1981), 277–286. | DOI | MR | Zbl

[9] F. Hiai and H. Umegaki: Integrals, conditional expectations and martingales of multivalued functions. J. Multiv. Anal. 7 (1977), 149–183. | DOI | MR

[10] C. Himmelberg: Measurable relations. Fund. Math. 87 (1975), 59–71. | DOI | MR | Zbl

[11] D. Kandilakis and N.S. Papageorgiou: On the properties of the Aumann integral with applictions to differential inclusions and control systems. Czech. Math. Jour. 39 (1989), 1–15. | MR

[12] M. Kisielewicz: Multivalued differential equations in a separable Banach space. J. Optim. Theory Appl. 37 (1982), 239–249. | DOI | MR

[13] E. Klein and A. Thompson: Theory of Correspondences. Wiley, New York, 1984. | MR

[14] G. Ladas and V. Laksmikantham: Differential Equations in Abstract Spaces. Acad. Press, New York, 1972. | MR

[15] H. Mönch: Boundary vale problems for ordinary differential equations of second order in Banach spaces. Nonl. Anal. – TMA 4 (1980), 985–999. | DOI

[16] N.S. Papageorgiou: On the theory of Banach space valued multifunctions I: Interation and conditional expectations. J. Multiv. Anal 17 (1985), 185–206. | DOI | MR

[17] N.S. Papageorgiou: On multivalued evolution equations and differential inclusions in Banach spaces. Comm. Math. Univ. S. P. 36 (1987), 21–39. | MR | Zbl

[18] N.S. Papageorgiou: Convergence theorems for Banach space valued integrable multifunctions. Intern. J. Math and Math Sci. 10 (1987), 433–442. | DOI | MR | Zbl

[19] N.S. Papageorgiou: On measurable multifunctions with application to random multivalued equations. Math. Japonica 32 (1987), 437–464. | MR

[20] N.S. Papageorgiou: Volterra integral inclusions in Banach spaces. J. Integral Equations and Appl. 1 (1988), 65–81. | DOI | MR | Zbl

[21] N.S. Papageorgiou: Decomposable sets in the Lebesgue-Bochner spaces. Comm. Math. Univ. S. P. 37 (1988), 49–62. | MR | Zbl

[22] N.S. Papageorgiou: On integral inclussions of Volterra type in Banach spaces. Czechoslovak Math. J. 42 (117) (1992), 693–714. | MR

[23] R. Ragimkhanov: The existence of solutions to an integral equation with multivalued right-hand side. Siberian Math. Journ. 17 (1976), 533–536. | DOI

[24] E. Schecter: Evolution generated by continuous dissipative plus compact operator. Bull. London Math. Soc. 13 (1981), 303–308. | DOI | MR

[25] S. Szufla: On the existence of solutions of Volterra integral equations in Banach space. Bull. Polish Acad. Sci. 22 (1974), 1211–1213. | MR | Zbl

[26] H. Tanabe: Equations of Evolution. Pitman, London, 1977.

[27] A. Tolstonogov: Extreme continuous selectors of multivalued maps and the bang-bang principle for evolution inclusions. Soviet Math. Dokl. 317 (1991), 1–8. | MR

[28] D. Wagner: Survey of measurable selection theorems. SIAM J. Contr. Optim. 15 (1977), 859–903. | DOI | MR | Zbl

[29] A. Wilansky: Modern Methods in Topological Vector Spaces. (1978), McGraw-Hill, New York. | MR | Zbl

Cité par Sources :