The kinetic transport equation in the case of Compton scattering.
The -optimal convolving functions in reconstruction convolution algorithms
The Local Stability of Positive Solutions to the Hammerstein Equation with a Nonmonotonic Nemytskii Operator.
The measure of non-compactness and approximation numbers of certain Volterra integral operators.
The method of characteristics for hyperbolic boundary value problems on the plane.
The monotone iterative technique for three-point second-order integrodifferential boundary value problems with -Laplacian.
The nonlocal bistable equation: Stationary solutions on a bounded interval.
The numerical decision of one problem of dispersion with application of zero functions of Lezhandra.
The numerical solution of Volterra integro-functional equations
The role of functional equations in stochastic model building.
The set of probability distribution solutions of a linear functional equation
Let (Ω,,P) be a probability space and let τ: ℝ×Ω → ℝ be a function which is strictly increasing and continuous with respect to the first variable, measurable with respect to the second variable. Given the set of all continuous probability distribution solutions of the equation we determine the set of all its probability distribution solutions.
The smallest positive eigenvalue of a quasisymmetric automorphism of the unit circle
This paper provides sufficient conditions on a quasisymmetric automorphism γ of the unit circle which guarantee the existence of the smallest positive eigenvalue of γ. They are expressed by means of a regular quasiconformal Teichmüller self-mapping φ of the unit disc Δ. In particular, the norm of the generalized harmonic conjugation operator is determined by the maximal dilatation of φ. A characterization of all eigenvalues of a quasisymmetric automorphism γ in terms of the smallest positive eigenvalue...
The solution of a minimax problem connected to the irreducibility of polynominals.
The solution of a singular integral equation with some applications in potential theory.
The solution of integral equations on an analog computer
The solvability of non-linear integral equations
The Spectra of Hyponormal Integral Operators
The spectrum of the transport operator with a potential term under the spatial periodicity condition
The stability of collocation methods for higher-order Volterra integro-differential equations.
The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type
In this paper we first study the stability of Ritz-Volterra projection (see below) and its maximum norm estimates, and then we use these results to derive some error estimates for finite element methods for parabolic integro-differential equations.