Solving of Volterra's linear integral equations
K. Orlov, M. Stojanović (1974)
Matematički Vesnik
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Displaying similar documents to “A method for solving the Volterra integral equation of the first kind”
Solving of Volterra's linear integral equations
Some properties of a non-linear integral Volterra equation with deviated argument
Bogdan Rzepecki (1976)
Annales Polonici Mathematici
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On a Staffans type inequality for vector Volterra integro-differential equations
G. Karakostas (1987)
Colloquium Mathematicae
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Linear integral equations in the space of regulated functions.
Tvrdý, Milan (1997)
Memoirs on Differential Equations and Mathematical Physics
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Generalized solutions of Volterra integral equations of the first kind.
Falaleev, M.V., Sidorov, N.A., Sidorov, D.N. (2005)
Lobachevskii Journal of Mathematics
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Second order linear Volterra integrodifferential equations.
H. Oka (1996)
Semigroup forum
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The existence of solutions to a Volterra integral equation
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.
An approximate solution of some Volterra integral equation with a smooth kernel
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.
A Volterra inequality with the power type nonlinear kernel.
Mydlarczyk, W. (2001)
Journal of Inequalities and Applications [electronic only]
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Note on some integral Volterra equations.
W. Okrasinski (1993)
Extracta Mathematicae
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Remarks on a nonlinear Volterra equation
W. Mydlarczyk (1991)
Annales Polonici Mathematici
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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...