Discontinuous wave equations and a topological degree for some classes of multi-valued mappings

Michal Fečkan; Richard Kollár

Applications of Mathematics (1999)

  • Volume: 44, Issue: 1, page 15-32
  • ISSN: 0862-7940

Abstract

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The Leray-Schauder degree is extended to certain multi-valued mappings on separable Hilbert spaces with applications to the existence of weak periodic solutions of discontinuous semilinear wave equations with fixed ends.

How to cite

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Fečkan, Michal, and Kollár, Richard. "Discontinuous wave equations and a topological degree for some classes of multi-valued mappings." Applications of Mathematics 44.1 (1999): 15-32. <http://eudml.org/doc/33024>.

@article{Fečkan1999,
abstract = {The Leray-Schauder degree is extended to certain multi-valued mappings on separable Hilbert spaces with applications to the existence of weak periodic solutions of discontinuous semilinear wave equations with fixed ends.},
author = {Fečkan, Michal, Kollár, Richard},
journal = {Applications of Mathematics},
keywords = {discontinuous wave equations; topological degree; multi-valued mappings; discontinuous wave equations; topological degree; multivalued mappings},
language = {eng},
number = {1},
pages = {15-32},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Discontinuous wave equations and a topological degree for some classes of multi-valued mappings},
url = {http://eudml.org/doc/33024},
volume = {44},
year = {1999},
}

TY - JOUR
AU - Fečkan, Michal
AU - Kollár, Richard
TI - Discontinuous wave equations and a topological degree for some classes of multi-valued mappings
JO - Applications of Mathematics
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 1
SP - 15
EP - 32
AB - The Leray-Schauder degree is extended to certain multi-valued mappings on separable Hilbert spaces with applications to the existence of weak periodic solutions of discontinuous semilinear wave equations with fixed ends.
LA - eng
KW - discontinuous wave equations; topological degree; multi-valued mappings; discontinuous wave equations; topological degree; multivalued mappings
UR - http://eudml.org/doc/33024
ER -

References

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  2. An extension of Leray-Schauder degree and applications to nonlinear wave equations, Diff. Int. Eqns. 3 (1990), 945–963. (1990) MR1059342
  3. Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems, Rend. Mat. VII-12 (1992), 597–621. (1992) MR1205967
  4. 10.1090/S0273-0979-1983-15105-4, Bull. Amer. Math. Soc. 8 (1983), 409–426. (1983) Zbl0537.35055MR0693957DOI10.1090/S0273-0979-1983-15105-4
  5. 10.1090/S0273-0979-1983-15153-4, Bull. Amer. Math. Soc. 9 (1983), 1–39. (1983) Zbl0533.47053MR0699315DOI10.1090/S0273-0979-1983-15153-4
  6. 10.1016/0022-0396(83)90018-9, J. Differential Eqns. 49 (1983), 1–28. (1983) Zbl0533.35088MR0704263DOI10.1016/0022-0396(83)90018-9
  7. Nonlinear Functional Analysis, Springer-Verlag, Berlin, 1985. (1985) Zbl0559.47040MR0787404
  8. Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademie-Verlag, Berlin, 1974. (1974) MR0636412
  9. On the topological degree for a class of mappings of monotone type and applications to strongly nonlinear elliptic problems, Ann. Acad. Sci. Fenn. Ser. A I Math. Disser. 91 (1994). (1994) MR1263099
  10. Real and Complex Analysis, McGraw-Hill, Inc., New York, 1974. (1974) Zbl0278.26001MR0344043

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