On the Aronszajn property for an integral equation with weakly singular kernel

• Autorzy: Szufla S.
• Języki publikacji: EN

Słowa kluczowe

EN

integral equation; Banach space; singular kernel

PL

przestrzeń Banacha; równania

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 1
• Strony: 133--136
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Szufla S.

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

Bibliografia

• [1] J. Banaś, K. Goebel, Measure of noncompactness in Banach spaces, Marcel Dekker, New York-Basel, 1980.
• [2] G. Gripenberg, On the uniqueness of solutions of Volterra equations, J. Integral Eqns Appl. 2, no 3, Summer 1990, 421-430.
• [3] H.P. Heinz, On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions, Nonlinear Anal. 7 (1983), 1351-1371.
• [4] J. Januszewski, On Volterra integral equations with weakly sigular kernel in Banach spaces, Demonstratio Math. 26 (1993), 131-136.
• [5] W. Mydlarczyk, The existence of nontrivial solutions of Volterra equations, Math. Scand. 68 (1991), 83-88.
• [6] G. Vidossich, A fixed point theorem for function spaces, J. Math. Anal. Appl. 36 (1971), 581-587.