Some results on existence and structure of solution sets to differential inclusions on the halfline

Grzegor Gabor

Bollettino dell'Unione Matematica Italiana (2002)

  • Volume: 5-B, Issue: 2, page 431-446
  • ISSN: 0392-4041

Abstract

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A topological structure of solution sets to multivalued differential problems on the halfline is studied by the use of Scorza-Dragoni type results and by the inverse systems approach. Some new existence results for asymptotic boundary value problems are also presented.

How to cite

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Gabor, Grzegor. "Some results on existence and structure of solution sets to differential inclusions on the halfline." Bollettino dell'Unione Matematica Italiana 5-B.2 (2002): 431-446. <http://eudml.org/doc/195001>.

@article{Gabor2002,
abstract = {A topological structure of solution sets to multivalued differential problems on the halfline is studied by the use of Scorza-Dragoni type results and by the inverse systems approach. Some new existence results for asymptotic boundary value problems are also presented.},
author = {Gabor, Grzegor},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {431-446},
publisher = {Unione Matematica Italiana},
title = {Some results on existence and structure of solution sets to differential inclusions on the halfline},
url = {http://eudml.org/doc/195001},
volume = {5-B},
year = {2002},
}

TY - JOUR
AU - Gabor, Grzegor
TI - Some results on existence and structure of solution sets to differential inclusions on the halfline
JO - Bollettino dell'Unione Matematica Italiana
DA - 2002/6//
PB - Unione Matematica Italiana
VL - 5-B
IS - 2
SP - 431
EP - 446
AB - A topological structure of solution sets to multivalued differential problems on the halfline is studied by the use of Scorza-Dragoni type results and by the inverse systems approach. Some new existence results for asymptotic boundary value problems are also presented.
LA - eng
UR - http://eudml.org/doc/195001
ER -

References

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  2. ANDRES, J.- GABOR, G.- GÓRNIEWICZ, L., Topological structure of solution sets to multi-valued asymptotic problems, Z. Anal. Anwendungen, 19 (2000), 35-60. Zbl0974.34045MR1748055
  3. ANDRES, J.- GABOR, G.- GÓRNIEWICZ, L., Acyclicity of solution sets to functional inclusions, to appear in Nonlinear Analysis TMA. Zbl1012.34011MR1894303
  4. BRESSAN, A.- SHEN, W., On discontinuous differential equations, In: Differential Inclusions and Optimal Control, (Edited by J. Andres, L. Górniewicz and P. Nistri), Lecture Notes in Nonlinear Anal., 2 (1998), 73-87. Zbl1096.34503
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  7. FURI, M.- PERA, P., A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals, Ann. Polon. Math., 47 (1987), 331-346. Zbl0656.47052MR927581
  8. GABOR, G., On the acyclicity of fixed point sets of multivalued maps, Topol. Methods Nonlinear Anal., 14 (2000), 327-343. Zbl0954.54022MR1766183
  9. GÓRNIEWICZ, L.- ŚLOSARSKI, M., Topological essentiality and differential inclusions, Bull. Austral. Math. Soc., 45 (1992), 177-193. Zbl0755.34013MR1155476
  10. RICCERI, B., Une propriété topologique de l'ensemble des points fixes d'une contraction multivoque à valeurs convexes, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8), 81 (1987), 283-286. Zbl0666.47030MR999821
  11. SAINT RAYMOND, J., Multivalued contractions, Set-Valued Analysis2, 4 (1994), 559-571. Zbl0820.47065MR1308485

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