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On variational methods for Hammerstein equations

  • V Section Function Theoretical Methods In Functional Analysis (Operators And Differential Operators)
  • Conference paper
  • First Online:
Romanian-Finnish Seminar on Complex Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 743))

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References

  1. AMANN H., Ein Existenz-und-Eindeutigkeitsatz für die Hammersteinsche Gleichung in Banachräumen, Math.Zeit., 111 (1969), 175–190.

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  2. BRÉZIS, H. and BROWDER, F.E., Nonlinear integral equations and systems of Hammerstein type, Adv.in Math., 18 (1975) 115–147.

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  3. BROWDER, F.E., Nonlinear operators and nonlinear equations of evolution in Banach spaces, Proc.Sympos.Pure Math., Chicago 1968, vol.XVIII,part 2,Amer.Math.Soc.,Providence, (1976).

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  4. BROWDER, F.E., Nonlinear functional analysis and nonlinear integral equations of Hammerstein and Urysohn type, in "Contributions to Nonlinear Functional Analysis", Edited by E. Zarantonello, Academic Press, 1971, 425–500.

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  5. BROWDER, F.E. and GUPTA, C.P., Nonlinear monotone operators and integral equations of Hammerstein type, Bull.Amer. Math.Soc., 75 (1969), 1347–1353.

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  6. DOLPH, G.L. and MINTY, G.J., On nonlinear integral equations of the Hammerstein type, in "Nonlinear integral equations", Univ. of Wisconsin Press, Madison 1964, 99–154.

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  7. GUPTA, C.P., On nonlinear integral equations of Hammerstein type with unbounded linear mappings, Lect. Notes Math., 384, Springer-Verlag, 1974, 184–238.

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  8. HAMMERSTEIN, A., Nichtlineare Integralgleichungen nebst Anwendungen, Acta Math., 54 (1930), 117–176.

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  9. PASCALI, D., Hammerstein equations in general Banach spaces, Seminari di Analisi, 1974/75, Istituto Matematico, Roma

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  10. VAINBERG, M.M., Variational method and method of monotone operators in the theory of nonlinear equations, John Wiley & Sons, Inc., 1973.

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Authors and Affiliations

  1. Institute of Mathematics, University of Bucharest, Romania

    Dan Pascali

Authors
  1. Dan Pascali
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Cabiria Andreian Cazacu Aurel Cornea Martin Jurchescu Ion Suciu

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© 1979 Springer-Verlag

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Pascali, D. (1979). On variational methods for Hammerstein equations. In: Cazacu, C.A., Cornea, A., Jurchescu, M., Suciu, I. (eds) Romanian-Finnish Seminar on Complex Analysis. Lecture Notes in Mathematics, vol 743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079533

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  • DOI: https://doi.org/10.1007/BFb0079533

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09550-7

  • Online ISBN: 978-3-540-34861-0

  • eBook Packages: Springer Book Archive

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