An extension of Abel's 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.

An Integral extension of causal layered analysis

Causal layered analysis (CLA) is a futures method developed by Sohail Inayatullah and since applied by numerous futurists across multiple content areas. The central assumption of CLA is that there are different levels of reality and ways of knowing; beneath the popular conceptions of an issue (the litany) and more academic analysis of systemic causes are deep worldview commitments, discourses, ...

An Extension of the Hilbert’s Integral Inequality

where the constant factor π 1 is the best possible. This is the famous Hilbert’s integral inequality see 1, 2 . Owing to the importance of the Hilbert’s inequality and the Hilberttype inequality in analysis and applications, some mathematicians have been studying them. Recently, various improvements and extensions of 1.1 appear in a great deal of papers see 3–11 , etc. . Specially, Gao and Hsu ...

Extension and Validation of an Advanced Integral Equation Model for Bistatic Scattering from Rough Surfaces

This paper deals with the modeling of bistatic scattering from a randomly rough surface. An advanced integral equation model is presented by giving its general framework of model developments, model expressions, and predictions of bistatic scattering for various surface parameters. Extension work to improve the model accuracy is also reported in more detail. In particular, the transition functi...

An extension for Rice’s integral and applications