On the numerical solution of the multidimensional singular integrals and integral equations, used in the theory of linear viscoelasticity.
On the order of pointwise convergence of some boundary element methods. Part I. Operators of negative and zero order
On the oscillation of a Volterra integral equation
On the oscillatory properties of the solutions of a class of integro- differential equations of neutral type.
On the percolation of water from a cylindrical reservoir into the surrounding soil
On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms.
On the positivity and zero crossings of solutions of stochastic Volterra integrodifferential equations.
On the power boundedness of certain Volterra operator pencils
Let V be the classical Volterra operator on L²(0,1), and let z be a complex number. We prove that I-zV is power bounded if and only if Re z ≥ 0 and Im z = 0, while I-zV² is power bounded if and only if z = 0. The first result yields as n → ∞, an improvement of [Py]. We also study some other related operator pencils.
On the Prandtl equation.
On the Prandtl equation on a finite interval.
On the probability model for solving some integral equations of second type
On the pseudospectra of multidimensional integral operators with homogeneous kernels of degree .
On the quadratic optimal control problem for Volterra integro-differential equations
On the quadrature error in operational quadrature methods for convolutions.
On the Regularization of Projection Methods for Solving Ill-Posed Problems.
On the semilinear integro-differential nonlocal Cauchy problem
In this paper, we prove an existence theorem for the pseudo-non-local Cauchy problem , x₀(t₀) = x₀ - g(x), where A is the infinitesimal generator of a C₀ semigroup of operator on a Banach space. The functions f,g are weakly-weakly sequentially continuous and the integral is taken in the sense of Pettis.
On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem
We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained. In particular, a necessary and sufficient condition for infinite differentiability of the free boundary is given.
On the solution of an integral equation appearing in displacement problems.
On the solution of distributional Abel integral equation by distributional Sumudu transform.
On the solution of some simple fractional differential equations.