O výpočtu pravděpodobností, které se vztahují k časovému vývoji soustav
On a differential game of evasion described by a class of nonlinear Volterra integrodifferential equations
On a Hypersingular Equation of a Problem, for a Crack in Elastic Media
Mathematics Subject Classification 2010: 45DB05, 45E05, 78A45.We give a procedure to reduce a hypersingular integral equation, arising in 2d diffraction problems on cracks in elastic media, to a Fredholm integral equation of the second kind, to which it is easier and more effectively to apply numerical methods than to the initial hypersingular equation.
On a nonlinear integral equation
On a nonstandard Volterra type dynamic integral equation on time scales.
On a reliable solution of a Volterra integral equation in a Hilbert space
We consider a class of Volterra-type integral equations in a Hilbert space. The operators of the equation considered appear as time-dependent functions with values in the space of linear continuous operators mapping the Hilbert space into its dual. We are looking for maximal values of cost functionals with respect to the admissible set of operators. The existence of a solution in the continuous and the discretized form is verified. The convergence analysis is performed. The results are applied to...
On a trace inequality for one-sided potentials and applications to the solvability of nonlinear integral equations.
On a Volterra integral equation with deviating arguments.
On a Volterra Stieltjes integral equation.
On boundary-value problems for partial differential equations of order higher than two
We prove the existence of solutions of some boundary-value problems for partial differential equations of order higher than two. The general idea is similar to that in [1]. We make an essential use of the results of our paper [12].
On fuzzy Volterra integral equations with deviating arguments.
On infinite systems of Volterra integral equations in Banach spaces
On integral equations in a Banach space
On integral representation to solutions for a differential equation with singular coefficients.
On Operators with Bounded Imaginary Powers in Banach Spaces.
On some linear Volterra delay equations
On stability and robust stability of positive linear Volterra equations in Banach lattices
We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented. Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability bounds with respect to these perturbations are given.
On the Boundedness and the Asymptotic Behaviour of the Non-Negative Solutions of Volterra-Hammerstein Integral Equations.
On the convolution equations over the quarter-plane.
On the existence and uniqueness of integrable solutions of functional equations in Banach space.