Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation

References
- [1] R. Bellman, Introduction to Matrix Analysis (translated in Romanian), McGraw-Hill Book Company, Inc., New York, 1960
- [2] A. Diamandescu, Existence of Ψ bounded solutions for a system of differential equations, Electronic Journal of Differential Equations, 63/2004, (2004), 1-6
- [3] A. Diamandescu, A Note on the Ψ boundedness for differential systems, Bull. Math. Soc. Sc. Math. Roumanie, 1/48/96, (2005), 33-43
- [4] A. Diamandescu, Ψ bounded solutions for a Lyapunov matrix differential equa- tion, Electronic Journal of Qualitative Theory of differential Equations, 17, (2009), 1-11
- [5] A. Diamandescu, Existence of Ψ bounded solutions for nonhomogeneous Lya- punov matrix differential equations on R, Electronic Journal of Qualitative Theory of differential Equations, 42, (2010), 1-9
- [6] A. Diamandescu, Note on the existence of a Ψ bounded solution for a Lyapunov matrix differential equation, Demonstratio Mathematica, 3/XLV, (2012), 549-560
- [7] M.S.N. Murty and G. Suresh Kumar, On Ψ boundedness and Ψ stability of matrix Lyapunov systems, J. Appl. Math. Comput., 26, (2008), 67-84
- [8] M.S.N. Murty and G. Suresh Kumar, On Ψ bounded solutions for nonhomo- geneous matrix Lyapunov systems on R, Electronic Journal of Qualitative Theory of differential Equations, 62, (2009), 1-12
- [9] M. Megan and C. Stoica, On Uniform Exponential Trichotomy of Evolution Op- erators in Banach Spaces, Integral Equations and Operator Theory, 4/60, (2008), 99 - 506
- [10] B. Sasu and A.L. Sasu, Exponential trichotomy and p admissibility for evolution families on the real line, Mathematische Zeitschrift, 253, (2006), 515 - 536
Language: English, French
Page range: 3 - 12
Submitted on: Jan 14, 2014
Accepted on: Dec 10, 2014
Published on: Mar 25, 2015
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
Related subjects:
© 2015 Aurel Diamandescu, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.