The superposition operator for vector-valued functions on a noncompact interval

• Autorzy: Dronka J. , Olszowy L.
• Języki publikacji: EN

Abstrakty

EN

In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a noncompact interval is considered. Acting conditions and criteria of continuity and compactness are established. As an application, an existence result for the nonlinear Hammerstein integral equation in this space is obtained.

Słowa kluczowe

EN

operators; superposition operators; noncompact interval; Hammerstein integral equations

PL

operatory; operatory złożone; przedział zwarty; równania Hammersteina

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 2
• Strony: 411--418
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Dronka J.

autor

Olszowy L.

• Department of Mathematics Technical University of Rzeszów, ul. W. Pola 2, 35-959 Rzeszów, Poland,

Bibliografia

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• [4] R. Engelking, General Topology, PWN - Polish Scientific Publishers, Warsaw, 1977.
• [5] D. O'Regan, M. Meehan, Existence Theory for Nonlinear Integral and Integrodifferential Equations, Kluwer Acad. Publ., Dordrecht, 1998.
• [6] H. M. Westergaard, Theory of Elasticity and Plasticity, Dover, New York, 1952. Rakovschik, V. J. Stecsenko, Integral Equations, Nordhoff, Leyden, 1975.
• [7] P. P. Zabrejko, A. I. Koshel ev, M. A. Krasnosel'ski i, S. G. Mikhlin, L. S.