The importance of eigenvalue problems concerning the Laplacian is well documented in classical and modern literature. Finding the eigenvalues for various geometries of the domains has posed many challenges which include infinite systems of algebraic equations, asymptotic methods, integral equations etc. In this paper, we present a comprehensive account of the general solutions to Helmholtz’s eq...

The result that a linear multiapproach, and the solution is expressed in terms of variable system is decouplable with stability the infinite and unstable contents of the system. The if and only if its associated stable interactor decoupling problem with stability of nonsquare sysis diagonal, is proved in this paper using an tems is considered in (Ruiz-León et al., 1995) using algebraic approach...

This is a survey of recent results on multiple transitivity for automorphism groups affine algebraic varieties. The property infinite the special group treated, which equivalent to flexibility corresponding variety. These properties have important and geometric consequences. At same time they are fulfilled wide classes Also, situations studied where occurs generated by finitely many one-paramet...