Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Asymptotic periodicity of solutions to a class of neutral functional-differential equations
HTML articles powered by AMS MathViewer

by Jian Hong Wu
Proc. Amer. Math. Soc. 113 (1991), 355-363
DOI: https://doi.org/10.1090/S0002-9939-1991-1079900-2

Abstract:

In this paper, we extend a convergence result due to Takáč to continuous maps satisfying certain monotonicity properties. Applying this extension to the Poincaré map associated with the neutral equation \[ (d/dt)[x(t) - b(t)x(t - r)] = F[t,x(t),x(t - r)]\] we prove that each solution of the above neutral equation tends to an $r$-periodic function as $t \to \infty$ in an oscillatory manner, where $0 \leq b(t) < 1$ is an $r$-periodic continuous function and $F$ satisfies a certain order relation.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34K15, 34K20
  • Retrieve articles in all journals with MSC: 34K15, 34K20
Bibliographic Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 113 (1991), 355-363
  • MSC: Primary 34K15; Secondary 34K20
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1079900-2
  • MathSciNet review: 1079900