-compact operators.
A certain integral-recurrence equation with discrete-continuous auto-convolution
Laplace transform and some of the author’s previous results about first order differential-recurrence equations with discrete auto-convolution are used to solve a new type of non-linear quadratic integral equation. This paper continues the author’s work from other articles in which are considered and solved new types of algebraic-differential or integral equations.
A certain inversion problem for the ray transform with incomplete data.
A characterisation of dilation-analytic operators
A conjecture of Gy. Petruska.
A Construction of Monotonically Convergent Sequences from Successive Approximations in Certain Banach Spaces.
A continuity in the weak topologies of a vector integral operator.
A convolution relation with remainder estimate.
A direct boundary integral method for a mobility problem.
A direct method for boundary integral equations on a contour with a peak.
A discrepancy principle for Tikhonov regularization with approximately specified data
Many discrepancy principles are known for choosing the parameter α in the regularized operator equation , , in order to approximate the minimal norm least-squares solution of the operator equation Tx = y. We consider a class of discrepancy principles for choosing the regularization parameter when T*T and are approximated by Aₙ and respectively with Aₙ not necessarily self-adjoint. This procedure generalizes the work of Engl and Neubauer (1985), and particular cases of the results are applicable...
A dispersion inequality in the Hankel setting
The aim of this paper is to prove a quantitative version of Shapiro's uncertainty principle for orthonormal sequences in the setting of Gabor-Hankel theory.
A domain decomposition analysis for a two-scale linear transport problem
We present a domain decomposition theory on an interface problem for the linear transport equation between a diffusive and a non-diffusive region. To leading order, i.e. up to an error of the order of the mean free path in the diffusive region, the solution in the non-diffusive region is independent of the density in the diffusive region. However, the diffusive and the non-diffusive regions are coupled at the interface at the next order of approximation. In particular, our algorithm avoids iterating...
A Domain Decomposition Analysis for a Two-Scale Linear Transport Problem
We present a domain decomposition theory on an interface problem for the linear transport equation between a diffusive and a non-diffusive region. To leading order, i.e. up to an error of the order of the mean free path in the diffusive region, the solution in the non-diffusive region is independent of the density in the diffusive region. However, the diffusive and the non-diffusive regions are coupled at the interface at the next order of approximation. In particular, our algorithm avoids iterating...
A double series variational method for a class of second kind Fredholm integral equations.
A double series variational method for a class of second kind Fredholm integral equations. (Summary).
A duality approach for solving identification problems related to integrodifferential Maxwell's equations
A factorization method for an inverse Neumann problem for harmonic vector fields.
A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation
In this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with respect to the Chebyshev and Bielecki norms by two notions.
A fixed point approach to the stability of a Volterra integral equation.