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Volumn 134, Issue 7, 2006, Pages 1985-1993

An example of application of the nielsen theory to integro-differential equations

Author keywords

Integro differential equations; Lower estimate of fixed points; Multiplicity results; Nielsen number; Nontrivial application

Indexed keywords


EID: 33745959944     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-05-08213-4     Document Type: Article
Times cited : (2)

References (13)
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    • (2000) Proceed. Amer. Math. Soc. , vol.128 , pp. 2921-2931
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    • (2005) Fixed Point Th. Appl. , vol.2 , pp. 137-167
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    • (1967) Theory of Retracts
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    • 84972492491 scopus 로고
    • On the Nielsen fixed point theorem for compact maps
    • MR0250290 (40:3529)
    • R. F. Brown, On the Nielsen fixed point theorem for compact maps. Duke Math. J. 36 (1969), 699-708. MR0250290 (40:3529)
    • (1969) Duke Math. J. , vol.36 , pp. 699-708
    • Brown, R.F.1
  • 7
    • 33745960855 scopus 로고    scopus 로고
    • More about Nielsen theories and their applications
    • (R. F. Brown, M. Furi, L. Górniewicz and B. Jiang, eds.), Springer, Berlin, MR2171114
    • R. F. Brown, More about Nielsen theories and their applications. In: "Handbook of Topological Fixed Point Theory" (R. F. Brown, M. Furi, L. Górniewicz and B. Jiang, eds.), Springer, Berlin, 2005, pp. 433-462. MR2171114
    • (2005) Handbook of Topological Fixed Point Theory , pp. 433-462
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  • 8
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    • Nielsen number and lower estimates for the number of solutions to a certain system of nonlinear integral equations
    • Voronezh Univ. Press, Voronezh, (in Russian). MR1321822 (96a:47103)
    • A. Yu. Borisovich, Z. Kucharski and W. Marzantowicz, Nielsen number and lower estimates for the number of solutions to a certain system of nonlinear integral equations. In: "New Developement in Global Analysis Series", Voronezh Univ. Press, Voronezh, 1994, pp. 3-10 (in Russian). MR1321822 (96a:47103)
    • (1994) New Developement in Global Analysis Series , pp. 3-10
    • Borisovich, A.Yu.1    Kucharski, Z.2    Marzantowicz, W.3
  • 9
    • 33645159594 scopus 로고    scopus 로고
    • A multiplicity result for a system of real integral equations by use of the Nielsen number
    • (J. Jezierski, ed.). Banach Center Publ. Warsaw, MR1734721 (2000i:55004)
    • A. Yu. Borisovich, Z. Kucharski and W. Marzantowicz, A multiplicity result for a system of real integral equations by use of the Nielsen number. In: "Nielsen Theory and Reidemeister Torsion" (J. Jezierski, ed.). Banach Center Publ. vol. 49, Warsaw, pp. 9-18. MR1734721 (2000i:55004)
    • Nielsen Theory and Reidemeister Torsion , vol.49 , pp. 9-18
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  • 10
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    • Isolating segment for carathéodory systems and existence for periodic solutions
    • MR1974642 (2003m:37019)
    • M. J. Capinski and K. Wójcik, Isolating segment for Carathéodory systems and existence for periodic solutions. Proceed. Amer. Math. Soc. 131, 8 (2003), 2443-2451. MR1974642 (2003m:37019)
    • (2003) Proceed. Amer. Math. Soc. , vol.131 , Issue.8 , pp. 2443-2451
    • Capinski, M.J.1    Wójcik, K.2
  • 11
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    • Nielsen fixed point theory and nonlinear equations
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    • M. Fečkan, Nielsen fixed point theory and nonlinear equations. J. Diff. Eqns 106, 2 (1993), 312-331. MR1251856 (94k:47093)
    • (1993) J. Diff. Eqns , vol.106 , Issue.2 , pp. 312-331
    • Fečkan, M.1
  • 12
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    • Multiple solutions of nonlinear equations via Nielsen fixed-point theory: A survey
    • (T. M. Rassias, ed.), Hadronic Press, Palm Harbor, FL, MR1766782 (2001e:47095)
    • M. Fečkan, Multiple solutions of nonlinear equations via Nielsen fixed-point theory: a survey. In: "Nonlinear Analysis in Geometry and Topology" (T. M. Rassias, ed.), Hadronic Press, Palm Harbor, FL, 2000, pp. 77-97. MR1766782 (2001e:47095)
    • (2000) Nonlinear Analysis in Geometry and Topology , pp. 77-97
    • Fečkan, M.1


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