Informácia o dokumente
In: Tatra Mountains Mathematical Publications, vol. 43, no. 2
Grant B. Gustafson
Uniqueness intervals and two–point boundary value problems
Rok, strany: 2009, 91 - 97
uniqueness, boundary value problem, Mikusinski system.
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.
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.
Gustafson, G. (2009). Uniqueness intervals and two–point boundary value problems. Tatra Mountains Mathematical Publications, 43(2), 91-97. 1210-3195.