The super stability of third order linear ordinary differential homogeneous equation with boundary condition.

Abstract

The stability problem is a fundamental issue in the design of any distributed systems like local area networks, multiprocessor systems, distribution computation and multidimensional queuing systems. In Mathematics stability theory addresses the stability solutions of differential, integral and other equations, and trajectories of dynamical systems under small perturbations of initial conditions. Differential equations describe many mathematical models of a great interest in Economics, Control theory, Engineering, Biology, Physics and to many areas of interest. In this study the recent work of Jinghao Huang, Qusuay.H. Alqifiary, and Yongjin Li in establishing the super stability of differential equation of second order with boundary condition was extended to establish the super stability of differential equation third order with boundary condition.