Über die Fixpunktmengen einer Klasse Volterrascher Integraloperatoren in Banachräumen.
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Marianne Reichert (1973)
Journal für die reine und angewandte Mathematik
Jürgen Appell, Pjotr P. Zabrejko (1988)
Manuscripta mathematica
M. REICHERT (1968)
Mathematische Annalen
H. Haf (1973)
Journal für die reine und angewandte Mathematik
Gustaf Gripenberg (1981)
Mathematica Scandinavica
Wojciech Mydlarczyk (2012)
Open Mathematics
We consider a convolution-type integral equation u = k ⋆ g(u) on the half line (−∞; a), a ∈ ℝ, with kernel k(x) = x α−1, 0 < α, and function g(u), continuous and nondecreasing, such that g(0) = 0 and 0 < g(u) for 0 < u. We concentrate on the uniqueness problem for this equation, and we prove that if α ∈ (1, 4), then for any two nontrivial solutions u 1, u 2 there exists a constant c ∈ ℝ such that u 2(x) = u 1(x +c), −∞ < x. The results are obtained by applying Hilbert projective metrics....
Ibrahim, Rabha W., Momani, Shaher (2007)
Surveys in Mathematics and its Applications
S. Fučik, J. Nečas, J. Souček, V. Souček (1973)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Svatopluk Fučík, Jindřich Nečas, Jiří Souček, Vladimír Souček (1972)
Commentationes Mathematicae Universitatis Carolinae
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