Stability and Boundednessof the Solutions of Non Autonomous Third Order Differential Equations with Delay

 Access to full text

 Full (PDF)

1. Burton, T. A., Stability and periodic solutions of ordinary and functional differential equations, Mathematics in Science and Engineering 178, Academic Press, Orlando, FL, 1985. (1985) Zbl0635.34001MR0837654
2. Burton, T. A., Makay, G., 10.1007/BF01875152, Acta Math. Hung. 65, 3 (1994), 243–251. (1994) Zbl0805.34068MR1281434DOI10.1007/BF01875152
3. Greaf, J. R., Remili, M., Some properties of monotonic solutions of $x^{\text{'}\text{'}\text{'}}+p\left(t\right)x^{\text{'}}+q\left(t\right)f\left(x\right)=0$, Pan. American Math. J. 22, 2 (2012), 31–39. (2012) MR2934271
4. Omeike, M. O., New results on the stability of solution of some non-autonomous delay differential equations of the third order, Differential Equations and Control Processes 2010, 1 (2010), 18–29. (2010) MR2766411
5. Omeike, M. O., Stability and boundedness of solutions of some non-autonomous delay differential equation of the third order, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.) 55, 1 (2009), 49–58. (2009) Zbl1199.34390MR2510712
6. Sadek, A. I., On the Stability of Solutions of Some Non-Autonomous Delay Differential Equations of the Third Order, Asymptot. Anal. 43, 1-2 (2005), 1–7. (2005) Zbl1075.34075MR2148124
7. Sadek, A. I., 10.1016/S0893-9659(03)00063-6, Applied Mathematics Letters 16, 5 (2003), 657–662. (2003) Zbl1056.34078MR1986031DOI10.1016/S0893-9659(03)00063-6
8. Swick, K., 10.1112/jlms/s1-44.1.347, J. London Math. Soc. 44 (1969), 347–359. (1969) Zbl0164.39103MR0236482DOI10.1112/jlms/s1-44.1.347
9. Tunç, C., On asymptotic stability of solutions to third order nonlinear differential equations with retarded argument, Communications in applied analysis 11, 4 (2007), 515–528. (2007) Zbl1139.34054MR2368199
10. Tunç, C., 10.1155/JAMSA.2005.29, J. Appl. Math. Stoch. Anal. 2005, 1 (2005), 29–35. (2005) Zbl1077.34052DOI10.1155/JAMSA.2005.29
11. Tunç, C., 10.1007/s11071-008-9423-6, Nonlinear Dynamics 57 (2009), 97–106. (2009) Zbl1176.34064MR2511159DOI10.1007/s11071-008-9423-6
12. Tunç, C., Some stability and boundedness conditions for non-autonomous differential equations with deviating arguments, E. J. Qualitative Theory of Diff. Equ. 2010, 1 (2005), 1–12. (2005) MR2577154
13. Tunç, C., Stability and boundedness of solutions of nonlinear differential equations of third-order with delay, Differential Equations and Control Processes 2007, 3 (2007), 1–13. (2007) MR2384532
14. Yoshizawa, T., Stability theory by Liapunov’s second method, The Mathematical Society of Japan, Tokyo, 1966. (1966) MR0208086
15. Zhu, Y. F., On stability, boundedness and existence of periodic solution of a kind of third order nonlinear delay differential system, Ann. Differential Equations 8, 2 (1992), 249–259. (1992) Zbl0758.34072MR1190138

1. Moussadek Remili, Lynda D. Oudjedi, Boundedness and stability in third order nonlinear differential equations with multiple deviating arguments
2. Larbi Fatmi, Moussadek Remili, Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation
3. Djamila Beldjerd, Moussadek Remili, Boundedness and square integrability of solutions of certain third-order differential equations