Three positive periodic solutions to nonlinear neutral functional differential equations with impulses and parameters on time scales

Mathematical and Computer Modelling

Volumn 52, Issue 9-10, 2010, Pages 1451-1462

  Wang, Chao ^a   Li, Yongkun ^a,b   Fei, Yu ^b  

^a YUNNAN UNIVERSITY   (China)

^b YUNNAN UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

Impulses; Leggett Williams fixed point theorem; Neutral functional differential equations; Periodic solutions; Time scales

Indexed keywords

IMPULSES; LEGGETT-WILLIAMS; NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS; PERIODIC SOLUTION; TIME-SCALES;

NONLINEAR EQUATIONS; PROBLEM SOLVING; TIME MEASUREMENT;

DIFFERENCE EQUATIONS;

EID: 77956013041     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2010.06.009     Document Type: Article

References (15)

1. Li Y., Kuang Y. Periodic solutions of periodic delay Lotka-Volterra equations and systems. J. Math. Anal. Appl. 2001, 255:260-280.
2. Li Y.K., Zhu L.F., Liu P. Positive periodic solutions of nonlinear functional difference equations depending on parameter. Comput. Math. Appl. 2004, 48:1453-1459.
3. Cheng S., Zhang G. Existence of positive periodic soltions for nonautonomous functional differential equations. Electron. J. Differential Equations 2001, 59:1-8.
4. Liu P., Li Y. Positive periodic solutions of infinite delay functional differential equations depending on a parameter. Appl. Math. Comput. 2004, 150:159-168.
5. Wang H. Positive periodic solutions of functional differential equations. J. Differential Equations 2004, 202:354-366.
6. Wu Y. Existence of positive periodic solutions for a functional differential equation with a parameter. Nonlinear Anal. 2008, 68:1954-1962.
7. Sella E. Periodic solutions for some nonlinear differential equations of neutral type. Nonlinear Anal. 1991, 17(2):139-151.
8. Wang Q., Dai B.X. Three periodic solutions of nonlinear neutral functional differential equations. Nonlinear Anal. 2008, 9:977-984.
9. Henderson J. Double solutions of impulsive dynamic boundary value problems on time scales. J. Difference Equ. Appl. 2002, 8:7-11.
10. Merdivenci Atici F., Eloe P.W., Kaymakcalan B. The quasilinearization method for boundary value problems on time scales. J. Math. Anal. Appl. 2002, 276:357-372.
11. Bohner M., Peterson A. Dynamic equations on time scales. An Introduction with Applications 2001, Birkhäuser, Boston.
12. Xing Y., Han M., Zheng G. Initial value problem for first-order integro-differential equation of Volterra type on time scales. Nonlinear Anal. 2005, 60:429-442.
13. Leggett R.W., Williams L.R. Multiple positive fixed points of nonlinear operator on ordered Banach spaces. Indiana Math. J. 1979, 28:673-688.
14. Conway J.B. A Course in Functional Analysis 1985, Springer-Verlag.
15. Rudin W. Functional Analysis 1973, McGraw-Hill.