According to Hopf bifurcation theorem for functional differential equation, existence of Hopf bifurcation is investigated as local stability switches.
Moreover, for higher-order ordinary differential equations, the existence of antiperiodic solutions was considered in [9 12].
Moreover, for higher-order ordinary differential equations, the existence of anti-periodic solutions was considered in [9 12].
Most important nonlinear problems of applied mathematics reduce to finding solutions of nonlinear functional equations (e.g., nonlinear integral equations, boundary value problems for nonlinear ordinary or partial differential equations, the existence of periodic solutions of nonlinear partial differential equations).
Furthermore, by the Poincaré map and the theory of impulsive differential equations, the existence and stability of positive order-1 or order-2 periodic solution of the system are investigated in detail.
In particular, teachers should understand and be able to use the core concepts of natural selection (genetic variation in populations, struggle for existence, differential reproduction, and heredity of favorable traits - National Research Council 19962011) to explain natural-world phenomena.
This paper extends the analytic redundancy technique, widely developed for linear systems, to the FDI of non-linear dynamic systems modeled by polynomial differential algebraic equations.The existence of parity relations is briefly recalled and a definition of D-detectability is introduced.
In particular, teachers should understand and be able to use the core concepts of natural selection (genetic variation in populations, struggle for existence, differential reproduction, and heredity of favorable traits - National Research Council 19962011) to explain natural-world phenomena Microevolution - observing changes in populations over a relatively short time period (a few generations).
Our choice of the referent group (hypercholesterolemic not on lipid-lowering drugs instead of normolipidemic participants) may have helped to reduce the potential bias due to differential awareness of existence of hypercholesterolemia.
"The tribunal has yet to consider whether the jobs are of equal value in terms of their demands and, if some jobs are, only then will the tribunal move on to consider the reasons for the differentials, including the existence of different market rates in different industry sectors," it said.
