On ψ Bounded Solutions for a Nonlinear Lyapunov Matrix Differential Equation on 𝕉-Reference-Cited by-同舟云学术

On ψ Bounded Solutions for a Nonlinear Lyapunov Matrix Differential Equation on 𝕉

Published:2018-12-01 Issue:2 Volume:56 Page:131-150
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Diamandescu Aurel¹

Affiliation:

1. Department of Applied Mathematics , University of Craiova , 13 A.I. Cuza Street, 200585, Craiova , Romania

Abstract

Abstract Using Banach and Schauder - Tychono fixed point theorems, existence results for a nonlinear Lyapunov matrix differential equation on 𝕉 are given. The obtained results generalize and extend the results from [5] and [18].

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/awutm-2018-0020

Reference18 articles.

1. [1] R. Bellman, Introduction to Matrix Analysis, McGraw-Hill Book Company, Inc. New York, 1960 (translated in Romanian).

2. [2] P. N. Boi, Existence of ψ - bounded solutions on R for nonhomogeneous linear differential equations, Electron. J. Diff. Eqns.2007 (2007), 52:1-10.

3. [3] P. N. Boi, On the ψ -dichotomy for homogeneous linear differential equations, Electronic Journal of Differential Equations2006 (2006), 40: 1-12.

4. [4] A. Constantin, Asymptotic properties of solutions of differential equations, Analele Universităţii din Timişoara, Seria Ştiinte Matematice30 (2-3) (1992), 183-225.

5. [5] W. A. Coppel, Stability and Asymptotic Behavior of Differential Equations, D. C. Heath and Company, Boston, 1965.

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