The existence of periodic solutions for a class of nonlinear functional differential equations

Jin-Zhi Liu; Zhi-Yuan Jiang; Ai-Xiang Wu

Applications of Mathematics (2008)

  • Volume: 53, Issue: 2, page 97-103
  • ISSN: 0862-7940

Abstract

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This paper is concerned with periodic solutions of first-order nonlinear functional differential equations with deviating arguments. Some new sufficient conditions for the existence of periodic solutions are obtained. The paper extends and improves some well-known results.

How to cite

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Liu, Jin-Zhi, Jiang, Zhi-Yuan, and Wu, Ai-Xiang. "The existence of periodic solutions for a class of nonlinear functional differential equations." Applications of Mathematics 53.2 (2008): 97-103. <http://eudml.org/doc/33312>.

@article{Liu2008,
abstract = {This paper is concerned with periodic solutions of first-order nonlinear functional differential equations with deviating arguments. Some new sufficient conditions for the existence of periodic solutions are obtained. The paper extends and improves some well-known results.},
author = {Liu, Jin-Zhi, Jiang, Zhi-Yuan, Wu, Ai-Xiang},
journal = {Applications of Mathematics},
keywords = {nonlinear functional differential equation; differential equation with deviating arguments; periodic solutions; coincidence degree theory; nonlinear functional differential equation; differential equation with deviating arguments},
language = {eng},
number = {2},
pages = {97-103},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The existence of periodic solutions for a class of nonlinear functional differential equations},
url = {http://eudml.org/doc/33312},
volume = {53},
year = {2008},
}

TY - JOUR
AU - Liu, Jin-Zhi
AU - Jiang, Zhi-Yuan
AU - Wu, Ai-Xiang
TI - The existence of periodic solutions for a class of nonlinear functional differential equations
JO - Applications of Mathematics
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 2
SP - 97
EP - 103
AB - This paper is concerned with periodic solutions of first-order nonlinear functional differential equations with deviating arguments. Some new sufficient conditions for the existence of periodic solutions are obtained. The paper extends and improves some well-known results.
LA - eng
KW - nonlinear functional differential equation; differential equation with deviating arguments; periodic solutions; coincidence degree theory; nonlinear functional differential equation; differential equation with deviating arguments
UR - http://eudml.org/doc/33312
ER -

References

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  1. On periodic solutions of functional differential equations with periodic disturbation, Sci. Bull. 43 (1998), 1386–1389. (1998) 
  2. 10.1016/S0362-546X(01)00147-X, Nonlinear Anal., Theory Methods Appl. 49 (2002), 929–945. (2002) MR1895537DOI10.1016/S0362-546X(01)00147-X
  3. Periodic solutions of functional differential equations, J. Math. Anal. Appl. 39 (1972), 198–201. (1972) Zbl0243.34126
  4. 10.1016/0022-0396(92)90080-7, J.  Differ. Equations 97 (1992), 1–15. (1992) DOI10.1016/0022-0396(92)90080-7
  5. Linear periodic functional differential equations with infinite delay, Funkc. Ekvacioj 29 (1986), 335–361. (1986) Zbl0616.34067
  6. 10.1006/jmaa.1995.1025, J. Math. Anal. Appl. 189 (1995), 378–392. (1995) Zbl0821.34070DOI10.1006/jmaa.1995.1025
  7. Coincidence degree and nonlinear differential equations. Lecture Notes in Mathematics Vol. 568, Springer, Berlin-Heidelberg-New York, 1977. (1977) MR0637067

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