Note on some integral Volterra equations.
W. Okrasinski (1993)
Extracta Mathematicae
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Displaying similar documents to “New conditions for the existence of non trivial solutions to some Volterra equations.”
Note on some integral Volterra equations.
A Volterra inequality with the power type nonlinear kernel.
Mydlarczyk, W. (2001)
Journal of Inequalities and Applications [electronic only]
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On a Staffans type inequality for vector Volterra integro-differential equations
G. Karakostas (1987)
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Some properties of a non-linear integral Volterra equation with deviated argument
Bogdan Rzepecki (1976)
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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.
Nontrivial solutions to nonlinear Volterra equations
W. Okrasinski (1989)
Extracta Mathematicae
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Solving of Volterra's linear integral equations
K. Orlov, M. Stojanović (1974)
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A method for solving the Volterra integral equation of the first kind
R. Smarzewski (1976)
Applicationes Mathematicae
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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.
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.
Remarks on a nonlinear Volterra equation
W. Mydlarczyk (1991)
Annales Polonici Mathematici
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Nonexistence of nontrivial solutions to some nonlinear Volterra equations.
W. Okrasinski (1989)
Extracta 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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