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

Root locus diagrams by digital computer

Adaptation of root locus method to programming on IBM 7074 digital compute

Stability techniques for continuous linear systems

Stability techniques for continuous linear system

Some remarks on one-dimensional force-free Vlasov-Maxwell equilibria

The conditions for the existence of force-free non-relativistic translationally invariant one-dimensional (1D) Vlasov-Maxwell (VM) equilibria are investigated using general properties of the 1D VM equilibrium problem. As has been shown before, the 1D VM equilibrium equations are equivalent to the motion of a pseudo-particle in a conservative pseudo-potential, with the pseudo-potential being proportional to one of the diagonal components of the plasma pressure tensor. The basic equations are here derived in a different way to previous work. Based on this theoretical framework, a necessary condition on the pseudo-potential (plasma pressure) to allow for force-free 1D VM equilibria is formulated. It is shown that linear force-free 1D VM solutions, which so far are the only force-free 1D VM solutions known, correspond to the case where the pseudo-potential is an attractive central potential. A general class of distribution functions leading to central pseudo-potentials is discussed.Comment: Physics of Plasmas, accepte