The study of stability of the equilibrium point of a nonlinear

ordinary differential equation is an almost trivial problem if the function F which defines the nonlinear equation is sufficiently regular in the neighborhood of this point and if its linearization in this point is hyperbolic.

A new suite of

ordinary differential equation solvers in Simulink 2 gives users a choice of state-of-the-art integration algorithms for simulating large, complex systems.

Generalized

ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math.

Numerical Methods for

Ordinary Differential Equation, Wiley, New York.

Acronyms DAE Differential Algebraic Equation | DOF Degrees of Freedom | GTM Graph-Theoretic Method | ODE

Ordinary Differential Equation | SAE Society of Automotive Engineers | WABIAN Waseda Bipedal Humanoid

In this way the fifth order compatibility partial differential equation in terms of stream functions can readily be written by two coupled fifth order

ordinary differential equations.

It is difficult to obtain exact solutions for the highly nonlinear coupled

ordinary differential equations (12) and (13) with the boundary conditions (14).

2) becomes an

ordinary differential equation for u([xi]) in the form:

For these and other applications, algebraic equations,

ordinary differential equations (ODEs), PDEs or subroutines can be included to describe material properties, source terms or extra terms in the underlying equations.

Determination of the stability of a non- linear

ordinary differential equation by least square approximation.

Recently, Hu [23] studied the solution of nonlinear oscillators with fractional powers by an iteration procedure and Ramos [24] investigated the same class of problems using a piecewise-linearized method based on the Taylor series expansion of the nonlinear

ordinary differential equation.

It is known that, whereas a first order

ordinary differential equation represents a 1-dimensional problem, a delay differential equation of the form (1.