Note on some integral Volterra equations.
W. Okrasinski (1993)
Extracta Mathematicae
Similarity:
W. Okrasinski (1993)
Extracta Mathematicae
Similarity:
W. Okrasinski (1990)
Extracta Mathematicae
Similarity:
We consider the following Volterra equation: (1) u(x) = ∫0 x k(x-s) g(u(s)) ds, where, k: [0, δ0] → R is an increasing absolutely continuous function such that k(0) = 0 g: [0,+ ∞) → [0,+ ∞) is an increasing absolutely continuous function such that g(0) = 0 and g(u)/u → ∞ as u → 0+ (see [3]). Let us note that (1) has always...
Jesús M. Fernández Castillo, W. Okrasinski (1991)
Extracta Mathematicae
Similarity:
In mathematical models of some physical phenomena a new class of nonlinear Volterra equations appears ([5],[6]). The equations belonging to this class have u = 0 as a solution (trivial solution), but with respect to their physical meaning, nonnegative nontrivial solutions are of prime importance.
W. Mydlarczyk (1991)
Annales Polonici Mathematici
Similarity:
G. Karakostas (1987)
Colloquium Mathematicae
Similarity:
Mydlarczyk, W. (2001)
Journal of Inequalities and Applications [electronic only]
Similarity:
William E. Fitzgibbon (1988)
Czechoslovak Mathematical Journal
Similarity:
Jan Prüss, Philippe Clément (1992)
Mathematische Zeitschrift
Similarity: