On an integral equation

On an Integral Equation

In the recent paper [2], the authors obtained new proofs on the existence and uniqueness of the solution of the Volterra linear equation. Applying their results, in this paper we express the exact and approximate solution of the equation in the field of Mikusi´nski operators, F, which corresponds to an integro–differential equation.

On Monotonic Solutions of an Integral Equation of Abel Type

We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in C[0, 1]. The famous Chandrasekhar’s integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.

An Integral Evolution Formula for theWave Equation

An Integral Evolution Formula for the Wave Equation Bradley Alpert,∗,1 Leslie Greengard,†,2 and Thomas Hagstrom‡,3 ∗National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80303,†Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012-1110, and ‡Department of Mathematics and Statistics, University of New Mexico, Albuqu...

Learning an Integral Equation Approximation to Nonlinear

Multi-scale image enhancement and representation is an important part of biological and machine early vision systems. The process of constructing this representation must be both rapid and insensitive to noise, while retaining image structure at all scales. This is a complex task as small scale structure is diicult to distinguish from noise, while larger scale structure requires more computatio...

An Integral Equation in Conformal Geometry