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Weighted pseudo almost periodic functions, convolutions and abstract integral equations
(Elsevier, 2016)
This paper deals with a systematic study of the convolution operator Kf = f (*) k defined on weighted pseudo almost periodic functions space PAP(X, rho) and with k is an element of L-1(R). Upon making several different ...
Numerical stability in the calculation of eigenfrequencies using integral equations
(ELSEVIER SCIENCE BV, 2001)
We comment on a phenomenon of instability that appears while computing eigenfrequencies using the integral equation framework. More precisely, it is currently known that the real symmetric matrices are well, and sometimes ...
Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model
(Springer, 2015-06-18)
A new super-Backlund transformation for the N = 1 supersymmetric sinhGordon equation is constructed. Based on this construction we propose a type-II integrable defect for the supersymmetric sinh-Gordon model consistent ...
Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
Gauge symmetry origin of Bäcklund transformations for Painlevé equations
(2021-05-01)
We identify the self-similarity limit of the second flow of sl(N)mKdVhierarchy with the periodic dressing chain thus establishing a connection to A(1) N-1 invariant Painlev'e equations. The A(1) N-1 Bcklund symmetries of ...
On volterra integral equations on time scales
(Springer, 2015-05-01)
The purpose of the present paper is to study some properties of solutions of Volterra integral equations on time scales. We generalize to a time scale some known properties concerning continuity and convergence of solutions ...
Approximation of solutions to fractional integral equation
(ELSEVIER, 2010)
In this paper we shall study a fractional integral equation in an arbitrary Banach space X.
We used the analytic semigroups theory of linear operators and the fixed point method to
establish the existence and uniqueness ...
Fast Calderón Preconditioning for the Electric Field Integral Equation
(IEEE, 2019)
Despite its solid mathematical background, the standard Calderón preconditioning for the electric field integral equation scales poorly with respect to the mesh refinement due to its construction over barycentric meshes. ...
On the numerical solution of the linear and nonlinear Poisson equations seen as bi-dimensional inverse moment problems
(Taylor & Francis, 2016-12)
The numerical solution of the bi-dimensional nonlinear Poisson equations under Cauchy boundary conditions is considered. Using Green identity we show that this problem is equivalent to solve a bi-dimensional Fredholm ...