ON SYMMETRIZATION INCLUDING ROOTS OF NONLINEAR EIGENVALUE PROBLEMS

Abstract

The operator T(????) = ????2 + ???????? + ???? bundle is being considered and that has a polynomial component and static operator constants. One uncovers that perhaps the system enables that needs to be factored T(????) = (???? − ????1)(???? − ????2) under certain fractional conditions. whereby each element ????1 and ????2 are eigenvalues. Besides that, the roots represent interpretations of a fundamental operator described throughout the function space. These activities are essential for wave equation.