Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 57, No. 3, pp. 259-271 (2000)

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Forbidden Periods in Delay Differential Equations

L.A.V. Carvalho, L.A.C. Ladeira and M. Martelli

Departamento de Matemática,
UEM, PR - BRAZIL
Instituto de Ciências Matemáticas de S\ ao Carlos,
USP, SP - BRAZIL
Harvey Mudd College, California State University-Fullerton,
Pomona College - USA

Abstract: We study the one-parameter family of scalar differential-difference equations
$$ x'(t)=f(\alpha,x(t),x(t-1)), $$
and establish some results on the period of periodic solutions and its relations with the parameter $\alpha$.

Keywords: Functional differential equations; Wright's equation; periodic solutions; period; Lipschitz constant.

Classification (MSC2000): 34K15, 34K20.

Full text of the article:


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