Facebook Twitter Google Share on Facebook ordinary singular point [¦ȯrd·ən‚er·ē ¦siŋ·gyə·lər ′pȯint] (mathematics) A singular point at which the tangents to all branches at the point are distinct. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, ...
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The regular singular point of the second order ordinary linear differential equation.Presents a method for determining the regular singular point of a second order ordinary linear differential equation.ScottS.LimB.W.EBSCO_AspInternational Journal of Mathematical Education in Science & Technology...
Notice that the stopping time \theta _*^\gamma is of feedback form, i.e., it depends on the dynamics of the state process and, via this dynamics, on the initial point (t, x) and on the control (n, \nu ) applied by the controller. The proof of Lemma 8 is similar to the proo...
The numerical treatment of two-point singular boundary value problems has always been a difficult and challenging task due to the singularity behaviour that occurs at a point. Various efficient numerical methods have been proposed to deal with such boundary value problems. We present a new efficient...
A full discussion of the solutions of the nth order ordinary linear differential equation in the neighbourhood of a regular singular point may be found in [1]. A similar discussion for the second-order equation may be found in [2, 3] where the key to the motivation of the regular ...
A variational formulation for the generalized singular value decomposition (GSVD) of a pair of matrices A is an element of R-mxn and B is an element of R-pxn is presented. In particular, a duality theory analogous to that of the SVD provides new understanding of left and right generalized...
A. (1971) On boundary conditions at a singular point for a system of linear ordinary differential equations. Zh. Vychisl. Mat. Mat. Fiz. 1: pp. 275-278A. A. Abramov, "The boundary conditions at the singular point for systems of linear ordi- nary differential equations," USSR ...
Weighted Limit Solution of a Nonlinear Ordinary Differential Equation at a Singular Point and Its PropertyOn a finite interval, we consider a system of nonlinear ordinary differential equations with singularity at the left endpoint of the interval. The definition of weighted limit solution is ...
We define a class of systems of nonlinear ordinary differential equations, resolvable with respect to an irregular singular point, say x = ∞. It is proved that a resolvable system has a unique formal series solution in some fractional powers of x1. Moreover, any system has a formal series...