Some properties of a non-linear integral Volterra equation with deviated argument
Bogdan Rzepecki (1976)
Annales Polonici Mathematici
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Bogdan Rzepecki (1976)
Annales Polonici Mathematici
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K. Orlov, M. Stojanović (1974)
Matematički Vesnik
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R. Smarzewski (1976)
Applicationes Mathematicae
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G. Karakostas (1987)
Colloquium Mathematicae
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H. Oka (1996)
Semigroup forum
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Štefan Schwabik (1977)
Časopis pro pěstování matematiky
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Wojciech Mydlarczyk (1996)
Annales Polonici Mathematici
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We study the equation u = k∗g(u) with k such that ln k is convex or concave and g is monotonic. Some necessary and sufficient conditions for the existence of nontrivial continuous solutions u of this equation are given.
Falaleev, M.V., Sidorov, N.A., Sidorov, D.N. (2005)
Lobachevskii Journal of Mathematics
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M. Niedziela (2008)
Applicationes Mathematicae
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The behaviour near the origin of nontrivial solutions to integral Volterra equations with a power nonlinearity is studied. Estimates of nontrivial solutions are given and some numerical examples are considered.