first order differential 
As the order is 1, the result here is simplified to that of first order differential equation.


The method used to derive the energy functions of nets from first order differential equations is valid for all first order continuous autonomous systems.


The applications of infinite systems of linear first order differential equations with 2L+1term recursion formulas are discussed.


In this formulation the Schr?dinger equation is a system of two first order differential equations for two component wave functions.


On the oscillation of solutions of first order differential equations with deviating arguments


Oscillation criteria for the first order differential equation with deviating argumentsx'(t)+p(t)x(tτ(t))==0,t≥t0 are established in the case where {fx2971}


The prototype of the problem is a parabolic variational inequality with the constraints of two first order differential inequalities arising from a twodimensional model of European call option pricing with transaction costs.


The kinetic equations are transformed to obtain a first order differential system and the resolution of such a system coupled with the conservation equations leads to the population of each vibrational level.


We discuss algebraic properties for the symbols of geometric first order differential operators on K?hler manifolds.


They are defined as sections in the kernel of a conformally invariant first order differential operator.


On varying stepsize in numerical integration of first order differential equations


Collocation with piecewise polynomial functions is used to solve a general nonlinear system of first order differential equations subject to multipoint linear constraints.


When variable stepsize variable formula methods (VSVFM's) are used in the solution of systems of first order differential equations instability arises sometimes.


In this paper, we construct the Quillen metric on the determinant bundle associated with a family of elliptic first order differential operators.


It is shown that any bicovariant first order differential calculus admits a natural lifting to the external algebra, so the external derivative of higher order differential forms is well defined and obeys the usual properties.


These conditions onV1 andV2 yield a simple system of first order differential equations whose analysis determines the space of all solutions to the string equation.


Such operators lie in the enveloping algebra of a finitedimensional Lie algebra of first order differential operatorsthe "hidden symmetry algebra".


The external algebra over holomorphic first order differential forms on a complex Lie groupG is endowed with the structure of a graded Poisson Lie algebra.


We constructCK6, as a subalgebra of theSO(6) superconformal algebra K6, thus giving it a natural representation as first order differential operators on the circle withN = 6 extended symmetry.


Our approach is based on equivalent definitions of holomorphic bundles, based on the transition maps or on the first order differential operators.

