Functional integral equations constitute a broad class of problems in which an unknown function appears under an integral sign. These equations play a pivotal role in modelling complex phenomena in ...

This is a preview. Log in through your library . Abstract The (unknown) exact solution of a weakly singular Volterra integral equation of the second kind (with smooth kernel and forcing function) ...

This is a preview. Log in through your library . Abstract We consider the boundary integral equation which arises when the Dirichlet problem in two dimensions is solved using a single-layer potential.

Electromagnetic integral equations offer a powerful framework for modelling wave propagation and scattering phenomena by recasting Maxwell’s equations into formulations involving integrals over ...

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...