![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
We present a systematic method for constructing functions, defined on the solutions of a higher order differential equationor weakly coupled system of differential equations, which satisfy a maximum principle. The construction is related to the construction of Lyapunov functions and to the theory of invariant sets. One can obtain various consequences from the resulting principle, such as à priori estimates, uniqueness of solutions, and comparison theorems
1The research of this author was performed while a visiting professor in the Departmet of Mathematics, University of Tennessee, Knoxville, Tennessee
1The research of this author was performed while a visiting professor in the Departmet of Mathematics, University of Tennessee, Knoxville, Tennessee
Notes
1The research of this author was performed while a visiting professor in the Departmet of Mathematics, University of Tennessee, Knoxville, Tennessee