Differential operators and their adjoints under integral and multiple point boundary conditions

Differential operators and adjoint systems derived from Green function and Hilbert space

On the Class of Admissable Nonlinearities for Lur'e's Problem

Imposition of conditions on nonlinear function of scalar so that system will be stable or asymptotically stabl

On the Eigenvalues of a Singular Nonself- Adjoint Differential Operator of Second Order

Singular nonself-adjoint differential operator of second order eigenvalue

Root Locus Asymptotes for the Sum of Two Polynomials of the Same Degree

Root locus asymptotes for sum of two polynomials of same degre

A general stability criterion for feedback systems

Means for determining stability of feedback systems described by either linear or nonlinear differential equation

On the Michailov criterion for exponential polynomials

Michailov criterion for exponential polynomial

On the Number of L2 Solutions of - y plus Q/t/y Equals Lambda y Where Q/t/ Is Complex Valued

Operator solutions for complex valued second order differential equatio

Differential equations for generalized Jacobi polynomials

We look for spectral type differential equations satisfied by the generalized Jacobi polynomials, which are orthogonal on the interval [-1,1] with respect to a weight function consisting of the classical Jacobi weight function together with two point masses at the endpoints of the interval of orthogonality. We show that such a differential equation is uniquely determined and we give explicit representations for the coefficients. In case of nonzero mass points the order of this differential equation is infinite, except for nonnegative integer values of (one of) the parameters. Otherwise, the finite order is explictly given in terms of the parameters.Comment: 33 pages, submitted for publicatio