Informácia o dokumente



In: Tatra Mountains Mathematical Publications, vol. 43, no. 2
Grant B. Gustafson

Uniqueness intervals and two–point boundary value problems

Detaily:

Rok, strany: 2009, 91 - 97
Kľúčové slová:
uniqueness, boundary value problem, Mikusinski system.

O článku:

Consider a linear $n$th order differential equation with continuous coefficients and continuous forcing term. The maximal uniqueness interval for a classical $2$-point boundary value problem will be calculated by an algorithm that uses an auxiliary linear system of differential equations, called a Mikusinski system. This system always has higher order than $n$. The algorithm leads to a graphical representation of the uniqueness profile and to a new method for solving $2$-point boundary value problems. The ideas are applied to construct a graphic for the conjugate function associated with the $n$th order linear homogeneous differential equation. Details are given about how to solve classical $2$-point boundary value problems, using auxiliary Mikusinski systems and Green's function.

Ako citovať:

ISO 690:
Gustafson, G. 2009. Uniqueness intervals and two–point boundary value problems. In Tatra Mountains Mathematical Publications, vol. 43, no.2, pp. 91-97. 1210-3195.

APA:
Gustafson, G. (2009). Uniqueness intervals and two–point boundary value problems. Tatra Mountains Mathematical Publications, 43(2), 91-97. 1210-3195.