In the second-order linear differential equation, y″+P(x)y′+Q(x)=0, a point x0 is considered to be an ordinary point if P(x) and Q(x) are analytic at x0. If not, x0 is a singular point. The singular point can therefore be either r...
The meaning of ORDINARY POINT is any point on a curve that is not a singular point.
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For an isolated singular point, one can derive the (local) general structure of the solutions from a simple algebraic study. This leads to a natural distinction between two important cases: weakly singular and strongly singular equations, according to the absence or presence of essential ...
A similar discussion for the second-order equation may be found in [2, 3] where the key to the motivation of the regular singular point resides in the need for uniqueness in the analytic continuation of solutions about this point. In the many standard undergraduate texts on ordinary ...
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, Copyright © 2003 by The McGraw-Hill Com...
common stock - stock other than preferred stock; entitles the owner to a share of the corporation's profits and a share of the voting power in shareholder elections; "over 40 million Americans invest in common stocks" common shares, ordinary shares stock - the capital raised by a corporation...
6) singular point 奇点 1. The number of limit cycles of generalized Liénard system surrounding multiple singular points; 包围多个奇点的广义Liénard系统的极限环的个数 2. Discussion on functional sampling near limit point of listable singular points; 有关可列个奇点的极限点附近函数取值情况的讨论...
The technical arguments involve properties of solutions (i.e., concavity) and the use of iterative techniques. A new fixed point theorem for cones, for decreasing mappings, is proved and used. It is of interest in its own right since most such theorems are for monotone increasing mappings.J...