Some properties of a non-linear integral Volterra equation with deviated argument
Bogdan Rzepecki (1976)
Annales Polonici Mathematici
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Displaying similar documents to “The existence of solutions to a Volterra integral equation”
Some properties of a non-linear integral Volterra equation with deviated argument
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K. Orlov, M. Stojanović (1974)
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R. Smarzewski (1976)
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A Volterra inequality with the power type nonlinear kernel.
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G. Karakostas (1987)
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Note on some integral Volterra equations.
W. Okrasinski (1993)
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New conditions for the existence of non trivial solutions to some Volterra equations.
W. Okrasinski (1990)
Extracta Mathematicae
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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...
Nontrivial solutions to nonlinear Volterra equations
W. Okrasinski (1989)
Extracta Mathematicae
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Linear integral equations in the space of regulated functions.
Tvrdý, Milan (1997)
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Second order linear Volterra integrodifferential equations.
H. Oka (1996)
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An approximate solution of some Volterra integral equation with a smooth kernel
M. Niedziela (2008)
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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.
Boyd index and nonlinear Volterra equations.
Jesús M. Fernández Castillo, W. Okrasinski (1991)
Extracta Mathematicae
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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.