On a nonlinear ordinary differential equation
On the existence and uniqueness of non-negative solutions of a certain non-linear convolution equation
Some remarks about the infiltration of water from a cylindrical reservoir
On a nonlinear convolution equation occurring in the theory of water percolation
On a certain nonlinear equation
Note on the asymptotic behaviour of the interface of some nonlinear diffusion problems.
Nonlinear Volterra equations and physical applications. [Appendix: On an extension of Gripenberg's condition].
Note on some integral Volterra equations.
Nonexistence of nontrivial solutions to some nonlinear Volterra equations.
Note on nontrivial solutions to nonlinear Volterra equations.
Nontrivial solutions to nonlinear Volterra equations
New conditions for the existence of non trivial solutions to some Volterra equations.
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 the trivial...
About the interface of some nonlinear diffusion problems.
Boyd index and nonlinear Volterra equations.
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.
On the percolation of water from a cylindrical reservoir into the surrounding soil
On a generalization of the Osgood condition.
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