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Abstrakty
There are established some conditions for existence of solutions of a nonlinear integral equation Tf =f+g, where T is a convolution-type integral operator.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
583--592
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
- Dipartimento di Matematica e Informatica, Universitá Degli Studi, Via Vanvitelli, 1, 06123 Perugia, Italy
autor
- Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznan, Poland
autor
- Dipartimento di Matematica e Informatica, Universitá Degli Studi, Via Vanvitelli, 1, 06123 Perugia, Italy
Bibliografia
- [1] C. Bardaro, J. Musielak, G. Vinti, On absolute continuity of a modular connected with strong summability, Commentationes Math. 34, (1994), 21-33.
- [2] C. Bardaro, J. Musielak, G. Vinti, On the definition and properties of a general modulus of continuity in some functional spaces, Math. Japonica 43, (1996), 445-450.
- [3] C. Bardaro, J. Musielak, G. Vinti, On nonlinear integro-differential operators in generalized Orlicz-Sobolev spaces, J. Approximation Theory, 105 N. 2, (2000), 238-251.
- [4] C. Bardaro, G. Vinti, On the order of modular approximation for nets of integral operators in modular Lipschitz classes, Functiones & Approximate, special volume dedicated to Prof. J. Musielak, 26, (1998), 139-154.
- [5] N. Dunford, J. T. Schwartz, Linear Operators, Part I, General Theory, Wiley (z Sons, New York, 1958.
- [6] D. Guo, V. Lakshmikantham, X. Liu, Nonlinear Integral Equations in Abstract Spaces, Kluwer Acad. Publ., 1996.
- [7] A. Kaminska, On some compactness criterion for Orlicz subspaces Εφ(Ω), Commentationes Math. 22, (1981), 126-136.
- [8] A. Kaminska, R. Pluciennik, Some theorems on compactness in generalized Orlicz spaces with application of the Δ∞-condition, Functiones et Approximate 10, (1980), 135-146.
- [9] M. A. Krasnosel'skii, Topological Methods in the Theory of Nonlinear Integral Equations, Pergamon Press, Oxford, 1964.
- [10] M. A. Krasnosel'skii, Y. B. Rutickii, Convex Functions and Orlicz Spaces, P. Noordhoff Ltd, Groningen, 1961.
- [11] A. Musielak, J. Musielak, On nonlinear integral operators in function spaces, Math. Japonica 48, (1998), 257-266.
- [12] J. Musielak, Orlicz spaces and modular spaces, Lecture Notes in Math. 1034, Springer-Verlag, 1983.
- [13] J. Musielak, On nonlinear integral operators, Atti Sem. Mat. Fis. Univ. Modena 47, (1999), 183-190.
- [14] M. Väth, Approximation, complete continuity and uniform measurability of Urysohn operators on general measure spaces, Nonlinear Analysis, 33 (1998), 715-728.
- [15] M. Väth, Volterra and Integral Equations of Vector Function, Marcel Dekker, New York, Basel, 2000.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-PWA1-0044-0014