On the Regularization of Projection Methods for Solving Ill-Posed Problems.
On the Spectra of Finite-Dimensional Pertobations of Matrix Multiplication Operators.
On the stability of Runge-Kutta methods for delay integral equations.
Pointwise Rational Approximation and Iterative Methods for Ill-Posed Problems.
Relaxation lengths and non-negative solutions in neutron transport
Remark on linear equations in Banach space
Remarks on existence of positive solutions of some integral equations
We study the existence of positive solutions of the integral equation in both and spaces, where and . Throughout this paper is nonnegative but the nonlinearity may take negative values. The Krasnosielski fixed point theorem on cone is used.
Reproductivity of some equations of analysis. II.
Shannon wavelets for the solution of integrodifferential equations.
Smoothed projection methods for the moment problem.
Solution of Fredholm integrodifferential equation for an infinite elastic plate
Many authors discussed the problem of an elastic infinite plate with a curvilinear hole, some of them considered this problem in z-plane and the others in the s-plane. They obtained an exact expression for Goursat's functions for the first and second fundamental problem. In this paper, we use the Cauchy integral method to obtain a solution to the first and second fundamental problem by using a new transformation. Some applications are investigated and also some special cases are discussed.
Solution to Fredholm integral inclusions via ( F, δ b )-contractions
We present sufficient conditions for the existence of solutions of Fredholm integral inclusion equations using new sort of contractions, named as multivalued almost F -contractions and multivalued almost F -contraction pairs under ı-distance, defined in b-metric spaces. We give its relevance to fixed point results in orbitally complete b-metric spaces. To rationalize the notions and outcome, we illustrate the appropriate examples.
Some limit properties of the best determined terms method
Some possibilities in solving operator equations using non stationary iterative method
Some stochastic properties of the best determined terms method
Spectra of partial integral operators with a kernel of three variables
Let Ω= [a, b] × [c, d] and T 1, T 2 be partial integral operators in (Ω): (T 1 f)(x, y) = k 1(x, s, y)f(s, y)ds, (T 2 f)(x, y) = k 2(x, ts, y)f(t, y)dt where k 1 and k 2 are continuous functions on [a, b] × Ω and Ω × [c, d], respectively. In this paper, concepts of determinants and minors of operators E−τT 1, τ ∈ ℂ and E−τT 2, τ ∈ ℂ are introduced as continuous functions on [a, b] and [c, d], respectively. Here E is the identical operator in C(Ω). In addition, Theorems on the spectra of bounded...
Stability rates for linear ill-posed problems with compact and non-compact operators.
Superconvergence of Piecewise Polynomial Galer kin Approximations for Fredholm Integral Equations of the Second Kind.
Sur la méthode de M. Goursat pour la résolution de l'équation de Fredholm
The combination of approximate solutions for accelerating the convergence