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Periodic solutions to a kind of neutral functional differential equation in the critical case
- Source :
-
Journal of Mathematical Analysis & Applications . May2004, Vol. 293 Issue 2, p462. 14p. - Publication Year :
- 2004
-
Abstract
- In this paper, we consider a kind of neutral functional differential equation as follows: <fen><cp type="lpar" STYLE="S">x(t)−cx(t−τ)<cp type="rpar" STYLE="S"></fen>′=g<fen><cp type="lpar" STYLE="S">t,x<fen><cp type="lpar" STYLE="S">t−μ(t)<cp type="rpar" STYLE="S"></fen><cp type="rpar" STYLE="S"></fen>+e(t) in the critical case <f>&z.sfnc;c&z.sfnc;=1</f>. By employing the topological degree theory and some analysis techniques, we obtain some new results on the existence of periodic solutions. [Copyright &y& Elsevier]
- Subjects :
- *DIFFERENTIAL equations
*MATHEMATICAL functions
*COMPLEX numbers
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 293
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 12899863
- Full Text :
- https://doi.org/10.1016/j.jmaa.2004.01.031