Acceso abierto

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


Cite

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

[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.Search in Google Scholar

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

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

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

[6] A. Diamandescu, On the ψ - boundedness of the solutions of a nonlinear Lyapunov matrix differential equation, Applied Sciences19 (2017), 31-40.Search in Google Scholar

[7] A. Diamandescu, On the ψ - boundedness of the solutions of linear nonhomogeneous Lyapunov matrix differential equations, Differential Geometry - Dynamical Systems19 (2017), 35-44.Search in Google Scholar

[8] A. Diamandescu, A note on the existence of ψ - bounded solutions for a system of differential equations on R, Electronic Journal of Differential Equations2008 (2008), 128: 1-11.10.14232/ejqtde.2008.1.26Search in Google Scholar

[9] A. Diamandescu, ψ - bounded solutions for linear differential systems with Lebesgue ψ - integrable functions on R as right-hand sides, Electronic Journal of Differential Equations2009 (2009), 5: 1-12.10.14232/ejqtde.2009.1.17Search in Google Scholar

[10] A. Diamandescu, ψ - bounded solutions for a Lyapunov matrix differential equation, Electronic Journal of Qualitative Theory Differential Equations17 (2009), 1-11.10.14232/ejqtde.2009.1.17Search in Google Scholar

[11] A. Diamandescu, Existence of ψ - bounded solutions for nonhomogeneous Lyapunov matrix differential equations on R, Electronic Journal of Qualitative Theory Differential Equations42 (2010), 1-9.10.14232/ejqtde.2010.1.42Search in Google Scholar

[12] A. Diamandescu, On the ψ - boundedness of the solutions of a linear system of ordinary differential equations, Analele Ştiinţifice ale Universităţii ”Al. I. Cuza” Iaşi, XLVIII, s. I, Matematică, (2) (2002), 269-286.Search in Google Scholar

[13] T. G. Hallam, On asymptotic equivalence of the bounded solutions of two systems of differential equations, Mich. Math. Journal16 (1969), 353-363.10.1307/mmj/1029000319Search in Google Scholar

[14] T. Hara, T. Yoneyama, T. Itoh, Asymptotic Stability Criteria for Nonlinear Volterra Integro-Differential Equations, Funkcialaj Ekvacioj33 (1990), 39-57.Search in Google Scholar

[15] J. R. Magnus, H. Neudecker, Matrix Differential Calculus with Applications in Statistics and Econometrics, John Wiley & Sons Ltd, Chichester, 1999.Search in Google Scholar

[16] M. S. N. Murty, G. Suresh Kumar, On ψ - boundedness and ψ - stability of matrix Lyapunov systems, J. Appl. Math. Comput.26 (2008), 67-84.10.1007/s12190-007-0007-2Search in Google Scholar

[17] M. S. N. Murty, G. Suresh Kumar, On ψ - bounded solutions for non-homogeneous matrix Lyapunov systems on R, Electronic Journal of Qualitative Theory Differential Equations62 (2009), 1-12.10.14232/ejqtde.2009.1.62Search in Google Scholar

[18] Ch. Vasavi, T. Srinivasa Rao, G. Suresh Kumar, On ψ - bounded solutions for semi-linear differential equations on R, International Journal of Advances in Engineering, Science and Technology3, No. 1 (2013), 22-25.Search in Google Scholar

eISSN:
1841-3307
Idioma:
Inglés
Calendario de la edición:
Volume Open
Temas de la revista:
Mathematics, General Mathematics