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Integral inclusions of upper semi-continuous or lower semi-continuous type
Author(s):
Donal
O'Regan
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2391-2399.
MSC (1991):
Primary 45D05, 45G10
MathSciNet review:
1342037
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Abstract:
Topological results for set valued maps are used to establish existence results for integral inclusions of Volterra or Hammerstein type.
References:
- 1.
- A. Bressan and G. Colombo, Extensions and selections of maps with decomposable values, Studia Math. 90 (1988), 70--85. MR 89j:54021
- 2.
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- 7.
- G. Gripenberg, S. O. Londen, and O. Staffans, Volterra integral and functional equations, Cambridge Univ. Press, New York, 1990. MR 91c:45003
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- D. O'Regan, Theory of singular boundary value problems, World Scientific Press, Singapore, 1994. MR 95g:34003
- 9.
- ------, Existence results for nonlinear integral equations, J. Math. Anal. Appl. 192 (1995), 705--726. CMP 95:14
- 10.
- ------, Existence theory for nonlinear Volterra and Hammerstein integral equations, Dynamical Systems and Applications (R. P. Agarwal, ed.), World Scientific Series in Applicable Analysis, Vol. 4 (1995), 601--615.
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- T. Pruszko, Topological degree methods in multivalued boundary value problems, J. Nonlinear Anal. 5 (1981), 953--973.
- 12.
- ------, Some applications of the topological degree theory to multivalued boundary value problems, Dissertationes Math. 229 (1984). MR 85j:34030
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Additional Information:
Donal
O'Regan
Affiliation:
Department of Mathematics, University College Galway, Galway, Ireland
Email:
donal.oregan@ucg.ie
DOI:
10.1090/S0002-9939-96-03456-9
PII:
S 0002-9939(96)03456-9
Received by editor(s):
February 6, 1995
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
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