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On the Ψ – Conditional Stability of Nonlinear Lyapunov Matrix Differential Equations Cover

On the Ψ – Conditional Stability of Nonlinear Lyapunov Matrix Differential Equations

Annals of West University of Timisoara - Mathematics and Computer Science
Volume 52 (2014): Issue 1 (June 2014)
By:   
Open Access
|Dec 2014
References

References

  1. [1] R. Bellman, Introduction to Matrix Analysis, McGraw-Hill Book Company, Inc. New York, 1960
    Search in Google Scholar
  2. [2] W. A. Coppel, Stability and Asymptotic Behavior of Differential Equations, D. C.Heath and Company, Boston, 1965
    Search in Google Scholar
  3. [3] A. Diamandescu, On the Ψ - conditional stability of the solutions of a nonlinear Volterra integro-differential system, Proceedings of the National Conference on Mathematical Analysis and Applications, (12-13 Dec. 2000), 89-106
    Search in Google Scholar
  4. [4] A. Diamandescu, On the Ψ -Instability of a Nonlinear Volterra Integro-Differential System, Bull. Math. Soc. Sc. Math. Roumanie, 46(94), No. 3-4, (2003), 103-119
    Search in Google Scholar
  5. [5] A. Diamandescu, On the Ψ instability of nonlinear Lyapunov matrix differential equations, Analele Universităţii de Vest, Timişoara, Seria Matematică - Informatică, XLIX, 1, (2011), 21-37
    Search in Google Scholar
  6. [6] A. Diamandescu, On Ψ - stability of a nonlinear Lyapunov matrix differential equations, Electronic Journal of Qualitative Theory Differential Equations, 54, (2009), 1-18
    Open DOISearch in Google Scholar
  7. [7] A. Diamandescu, On Ψ - asymptotic stability of nonlinear Lyapunov matrix differential equations, Analele Universităţii de Vest, Timişoara, Seria Matematică - Informatică, L, 1, (2012), 325
    Open DOISearch in Google Scholar
  8. [8] A. Diamandescu, On the Ψ -strong stability of nonlinear Lyapunov matrix differential equations, to appear
    Search in Google Scholar
  9. [9] A. Diamandescu, On the Ψ- Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations, Analele Universităţii de Vest, Timişoara, Seria Matematică - Informatică, LI, 2, (2013), 7-28
    Open DOISearch in Google Scholar
  10. [10] M.S.N. Murty and Suresh Kumar, On dichotomy and conditioning for twopoint boundary value problems associated with first order matrix Lyapunov systems, J. Korean Math. Soc., 45, no. 8, (2008), 1361-1378
    Open DOISearch in Google Scholar
  11. [11] M.S.N. Murty and Suresh Kumar, On Ψ- boundedness and Ψ -stability of matrix Lyapunov systems, J. Appl. Math. Comput, 26, (2008), 67-84
    Open DOISearch in Google Scholar
  12. [12] M.S.N. Murty, B. V. Apparao, and Suresh Kumar, Controllability, observability and realizability of matrix Lyapunov systems, Bull. Korean math. Soc., 43, no. 1, (2006), 149-159
    Open DOISearch in Google Scholar
  13. [13] O. Perron, Die Stabilitätsfrage bei Differentialgleichungen, Math. Z., 32, (1930), 703-728
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.2478/awutm-2014-0004 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
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Language: English
Page range: 41 - 64
Submitted on: Jun 8, 2014
Accepted on: Sep 20, 2014
Published on: Dec 11, 2014
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
Keywords:
Ψ conditional stability,
Ψ instability,
Lyapunov matrix differential equation
Related subjects:
Mathematics,
General mathematics

© 2014 Aurel Diamandescu, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 52 (2014): Issue 1 (June 2014)
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