Existence and Uniqueness of Elliptic Periodic Solutions of the Brillouin Electron Beam Focusing System
نویسنده
چکیده
We "nd conditions for the existence of an elliptic periodic solution of a singular equation that governs the motion of a magnetically focused axially symmetric electron beam with Brillouin #ow by using a monotone iterative scheme starting from a couple of upper and lower solutions on the reversed order. Also, a uniqueness result is proved by using Brouwer degree and index of solutions. Copyright ( 2000 John Wiley & Sons, Ltd.
منابع مشابه
Periodic Solutions for Nonlinear Elliptic Equations. Application to Charged Particle Beam Focusing Systems
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