On Volterra inequalities and their applications.
Ha̧cia, Lechosław (2004)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On a Volterra integral equation with deviating arguments.”
On Volterra inequalities and their applications.
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Nonexistence of nontrivial solutions to some nonlinear Volterra equations.
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Ha̧cia, Lechosław (2003)
International Journal of Mathematics and Mathematical Sciences
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Józef Banaś, Jesus Rivero (1987)
Commentationes Mathematicae Universitatis Carolinae
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New conditions for the existence of non trivial solutions to some Volterra equations.
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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...