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Asymptotic behavior in a second order linear matrix differential equation

Warren E. Shreve
- 01 Jan 1970 - 
- Vol. 9, Iss: 1, pp 13-24
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This article is published in Journal of Differential Equations.The article was published on 1970-01-01 and is currently open access. It has received 7 citations till now. The article focuses on the topics: Matrix differential equation & Homogeneous differential equation.

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Journal ArticleDOI

Introduction to Matrix Analysis. By Richard Bellman. 2nd Edition. Pp. xxiii, 403. £7·50. (McGraw-Hill.)

D. Rees
TL;DR: This book discusses Maximization, Minimization, and Motivation, which is concerned with the optimization of Symmetric Matrices, and its applications in Programming and Mathematical Economics.
Journal ArticleDOI

Oscillation and asymptotic behavior of systems of ordinary linear differential equations

TL;DR: Conditions for oscillatory and asymptotic behavior for first-order matrix systems of ordinary differential equations, including Hamiltonian systems in the selfadjoint case, were established in this paper.
Journal ArticleDOI

FINITE MOMENTS PERTURBATIONS OF y" = 0 IN BANACH ALGEBRAS

TL;DR: Rigorous asymptotics for a basis of y" + g(x)y = 0, x £(1, + o), is derived in the framework of Banach algebras as mentioned in this paper.
Posted Content

Global propagation of quantum massive particle in the plane gravitational waves and electromagnetic backgrounds

TL;DR: In this paper, the propagation of quantum massive particles in the general plane wave spacetime and external, non-plane, electromagnetic waves is studied, and the asymptotic conditions, the "in" ("out") states and the cross sections are analysed.
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Global propagation of massive quantum fields in the plane gravitational waves and electromagnetic backgrounds

TL;DR: In this paper , the behavior of massive quantum fields in the general plane wave spacetime and external, non-plane, electromagnetic waves is studied and the asymptotic conditions, the "in" and "out" states and the cross sections are analyzed.
References
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Book

Introduction to Matrix Analysis

TL;DR: In this article, the Second Edition Preface is presented, where Maximization, Minimization, and Motivation are discussed, as well as a method of Hermite and Quadratic Form Index.
Book

Finite-Dimensional Vector Spaces

TL;DR: The first formal introduction to linear algebra, a branch of modern mathematics that studies vectors and vector spaces, was the Finite Dimensional Vector Spaces (FDVSP) by Halmos as discussed by the authors.
Journal ArticleDOI

Non-oscillation theorems

TL;DR: In this paper, it is shown that the equation is non-oscillatory in (a, oo), a>O, if no solution can change its sign more than once in the interval.
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