The statements on solvability, solution estimates, and well-posedness of equations with conditionally covering mappings are proved. The results obtained are applied to the investigation of Volterra equations (including integral equations) unsolved for the unknown function. © 2011 Elsevier Ltd. All rights reserved
M.Sc. (Applied Mathematics)Numerous studies on linear and nonlinear Volterra integral equations (VIE...
summary:We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kn...
The behavior of the solution of a nonlinear Volterra discrete equation of convolution type is invest...
The statements on solvability, solution estimates, and well-posedness of equations with conditionall...
We prove some results concerning solvability, estimates for solutions, and well-posed solvability of...
We continue to study the properties of covering mappings of metric spaces and present their applicat...
In the paper, the set-valued covering mappings are studied. The statements on solvability, solution ...
This paper deals with the existence of continuous bounded solutions for a rather general nonlinear i...
AbstractThis paper studies the topological structure of the set of solutions for the equation y = Fy...
AbstractThe aim of this paper is to investigate a class of integral equation of Volterra type and it...
J. oflnequal. & Appl., 2001, Vol. 6, pp. 325-338 Reprints available directly from the publisher ...
AbstractIn this paper we give necessary and sufficient conditions for blow-up of solutions for a par...
The purpose of this investigation is to determine the possibility of a blow-up solution to a particu...
We consider the following Volterra equation: (1) u(x) = ?0x k(x-s) g(u(s)) ds, where, k: [0, d0] ? R...
In this article, the contraction mapping principle and Liapunov\u27s method are used to study qualit...
M.Sc. (Applied Mathematics)Numerous studies on linear and nonlinear Volterra integral equations (VIE...
summary:We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kn...
The behavior of the solution of a nonlinear Volterra discrete equation of convolution type is invest...
The statements on solvability, solution estimates, and well-posedness of equations with conditionall...
We prove some results concerning solvability, estimates for solutions, and well-posed solvability of...
We continue to study the properties of covering mappings of metric spaces and present their applicat...
In the paper, the set-valued covering mappings are studied. The statements on solvability, solution ...
This paper deals with the existence of continuous bounded solutions for a rather general nonlinear i...
AbstractThis paper studies the topological structure of the set of solutions for the equation y = Fy...
AbstractThe aim of this paper is to investigate a class of integral equation of Volterra type and it...
J. oflnequal. & Appl., 2001, Vol. 6, pp. 325-338 Reprints available directly from the publisher ...
AbstractIn this paper we give necessary and sufficient conditions for blow-up of solutions for a par...
The purpose of this investigation is to determine the possibility of a blow-up solution to a particu...
We consider the following Volterra equation: (1) u(x) = ?0x k(x-s) g(u(s)) ds, where, k: [0, d0] ? R...
In this article, the contraction mapping principle and Liapunov\u27s method are used to study qualit...
M.Sc. (Applied Mathematics)Numerous studies on linear and nonlinear Volterra integral equations (VIE...
summary:We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kn...
The behavior of the solution of a nonlinear Volterra discrete equation of convolution type is invest...