The Asymptotic Stability of the Functional-Integral Equation in Banach Spaces

• Autorzy: Kubiaczyk I. , Roszak M.
• Języki publikacji: EN

Słowa kluczowe

EN

measure of noncompactness; functional-integral equation; asymptotic stability

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2004
• Tom: Vol. 44, nr 2
• Strony: 271--277
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Kubiaczyk I.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Umultowska 87, 61-614 Poznań, Poland

autor

Roszak M.

• Faculty of Computing Science, The Institution of Higher Learning for Humanities and Journalism, ul. Kutrzeby 10, 61-719 Poznań, Poland

Bibliografia

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• [2] J. Banaś and K. Goebel, Measures of Noncompactness in Banach Spaces, In Lecture Notes in Pure and Applied Math., Volume 60, Marcel Dekker, New York, (1980).
• [3] J. Banaś and B. Rzepka, An Application of a Measure of Noncompactness in the Study of Asymptotic Stability, Appl. Math. Letters 16, 1-6, (2003).
• [4] M. Cichoń, A point of view on measure of noncompatness, Demonstratio Math. 26, 767-777, (1993).
• [5] G. Darbo, Punti uniti in trasformazioni a condominio non compatto, Rend. Sem. Math. Univ. Padova 4, 84-92, (1955).
• [6] K. Goebel and W. A. Kirk, Topics in metric fixed point theory, Cambridge University Press, Cambridge, (1990).
• [7] V. B. Kolmanovskii and A. D. Myshkis, Applied Theory of Functional Differential Equations, Kluwer Academic Pulishers, Boston, (1992).
• [8] V. B. Kolmanovskii and V. R. Nosov, Stability of Functional Differential Equations, Academic Press, New York, (1986).
• [9] I. Kubiaczyk. On the existence of solutions of differential equations in Banach spaces, Bull. Polish Acad. Sci. Math. 33, 607-614, (1985).
• [10] K. Kuratowski, Topologie, PWN, Warszawa, (1958).
• [11] K. Kuratowski, Sur les espaces completes, Fund. Math. 15, 301-309, (1930).
• [12] B. N. Sadovskii. On a fixed point principle, Funct. Anal. Appl. 4 (2), 74-76, (1967).
• [13] S. Szufla, On Volterra integral equations in Banach spaces, Funkcial. Ekvac., 20, 247-258, (1977).