Errata - Correction to "Application of multiple scales analysis and the fundamental matrix method to Rugate filters: initial and two-point boundary problem formulations"

2001 ◽  
Vol 19 (9) ◽  
pp. 1385-1385
Author(s):  
M. Bataineh ◽  
O.R. Asfar
Keyword(s):  
Boundary Problem ◽  
Fundamental Matrix ◽  
Matrix Method ◽  
Multiple Scales ◽  
Point Boundary ◽  
Problem Formulations ◽  
Multiple Scales Analysis

scholarly journals A Quasilinear Two Point Boundary Problem

1994 ◽  
Vol 24 (3) ◽  
pp. 1117-1134
Author(s):  
Victor L. Shapiro
Keyword(s):  
Boundary Problem ◽  
Point Boundary

scholarly journals ON CONDITIONING FOR A GENERAL SYSTEM OF FOUR POINT BOUNDARY VALUE PROBLEMS

1996 ◽  
Vol 27 (3) ◽  
pp. 219-225
Author(s):  
M. S. N. MURTY
Keyword(s):  
Differential Equation ◽  
Fundamental Matrix ◽  
Close Relationships ◽  
General System ◽  
Point Boundary ◽  
Matrix Differential Equation ◽  
Growth Behaviour ◽  
First Order ◽  
Matrix Differential ◽  
The Stability

In this paper we investigate the close relationships between the stability constants and the growth behaviour of the fundamental matrix to the general FPBVP'S associated with the general first order matrix differential equation.

The Two-Point Boundary Problem

1965 ◽  
Vol 72 (7) ◽  
pp. 701-711
Author(s):  
R. H. Cole
Keyword(s):  
Boundary Problem ◽  
Point Boundary

A Two-Point Boundary Problem for Ordinary Self-Adjoint Differential Equations of Fourth Order

1954 ◽  
Vol 6 ◽  
pp. 416-419 ◽  
Author(s):  
H. M. Sternberg ◽  
R. L. Sternberg
Keyword(s):  
Boundary Problem ◽  
Fourth Order ◽  
Symmetric Matrix ◽  
Positive Definite ◽  
Matrix Functions ◽  
Point Boundary ◽  
Vector Identity ◽  
Class C ◽  
Image Position ◽  
Homogeneous Vector

The purpose of this note is to establish Theorem A below for the two-point homogeneous vector boundary problemwhere the Pi(x) are given real m × m symmetric matrix functions of x with P0(x) positive definite and Pi(x) of class C2−i on an infinite interval [a, ∞), and where by a solution of (1.1) — (1.2) for a ≤ x1 < x2 < ∞ we understand a real m-dimensional column vector u = u(x) of class C2 on [a, ∞) which is such that Pi(x)u(2−i) is of class C2−i on [a, ∞) and which satisfies (1.1) — (1.2) with the former a vector identity on [a, ∞).

Some Notes on the Grassmann Manifolds and Nonlinear System

2013 ◽  
Vol 419 ◽  
pp. 611-615
Author(s):  
Chun Na Zeng ◽  
Peng Tao
Keyword(s):  
Differential Geometry ◽  
Control System ◽  
Nonlinear System ◽  
Control Theory ◽  
Boundary Problem ◽  
Periodic Solutions ◽  
Grassmann Manifold ◽  
Quotient Space ◽  
Point Boundary ◽  
The Matrix

The differential geometry as a new tool has been introduced to research the control system, especially the nonlinear system. In this paper, by considering how to construct a manifold from a quotient space, we investigate the structure of Grassmann manifold concretely. This is beneficial to study the problem of finding periodic solutions of the matrix Riccati equations of control theory and the two point boundary problem.

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