On a functional equation with retarded mean.
On a generalization of the Osgood condition.
On a generalized retarded integral inequality with two variables.
On a generalized Wiener-Hopf integral equation
Let be such that . In this note we use the Mittag-Leffler partial fractions expansion for to obtain a solution of a Wiener-Hopf integral equation.
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 new integral-type operator from the weighted Bergman space to the Bloch-type space on the unit ball.
On a nonlinear convolution equation occurring in the theory of water percolation
On a nonlinear integral equation
On a Non-Linear Integral Equation
On a nonlinear integral equation modelling an epidemic in an age-structured population.
On a nonlinear integral equation with contractive perturbation.
On a nonlinear integral equation without compactness.
On a nonlinear ordinary differential equation
On a nonstandard Volterra type dynamic integral equation on time scales.
On a parabolic integrodifferential equation of Barbashin type
In the present paper we study some basic qualitative properties of solutions of a nonlinear parabolic integrodifferential equation of Barbashin type which occurs frequently in applications. The fundamental integral inequality with explicit estimate is used to establish the results.
On a problem of Lipiński concerning an integral equation
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 singular integral equation with log kernel and its application.
On a Staffans type inequality for vector Volterra integro-differential equations
On a symbol of operators generating finite-dimensional algebras