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Abstrakty
In this paper we establish some results for asymptotic linear Hammerstein integral equations. Using Morse theory and in particular critical groups we prove a number of existence results.
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Czasopismo
Rocznik
Tom
Strony
59--66
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
- Department Of Mathematics, National University of Ireland Galway, Ireland, donal.oregan@nuigalway.ie
Bibliografia
- [1] R.P. Agarwal, K. Perera and D. O'Regan, Multiplicity results for p-sublinear p-Laplacian problems involving indfinite eigenvalue problems via Morse theory, to appear.
- [2] K.C. Chang, Ifinite-dimensional Morse theory and multiple solution problems, Progress in Nonlinear Differential Equations and their Applications, Vol. 6, Birkhäuser, Boston, 1993.
- [3] M.A. Krasnoselskii, Topological methods in the theory of nonlinear integral equations, Perga-mon, Oxford, 1964.
- [4] F. Li, Y. Li and Z. Liang, Existence of solutions to nonlinear Hammerstein integral equations and applications, Jour. Math. Anal. Appl. 323 (2006), 209{227.
- [5] J.Q. Liu and S.H. Li, An existence theorem for multiple critical points and its application, Kexue Tongbao (Chinese) 29 (1984), 1025{1027.
- [6] D. O'Regan, Multiplicity results for sublinear and superlinear Hammerstein integral equations via Morse theory, Communications in Applied Analysis, to appear.
- [7] K. Perera, R.P. Agarwal and D. O'Regan, Morse-theoretic aspects of p-Laplacian type operators, Progress in Nonlinear Differential Equations and their Applications, Birkhäuser, Boston, to appear.
- [8] R. Precup, Methods in nonlinear integral equations, Kluwer, Dordrecht, 2002.
- [9] N. Young, An introduction to Hilbert spaces, Cambridge University Press, Cambridge, 1989.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0011-0064