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Stability, boundedness, oscillation and periodicity in functional differential equations.

Wudu Lu. / Thesis (Ph.D.)--Chinese University of Hong Kong, 1995. / Includes bibliographical references (leaves 114-116). / Abstract --- p.ii / Introduction --- p.iv / Chapter 1 --- The Fundamental Theory of NFDEs with Infinite Delay --- p.1 / Chapter 1.1 --- Introduction --- p.1 / Chapter 1.2 --- Phase spaces and NFDEs with infinite delay --- p.2 / Chapter 1.3 --- Local theory --- p.4 / Chapter 2 --- Periodicity and Bp -Boundedness in Neutral Systems of Non- linear D-operator with Infinite Delay --- p.12 / Chapter 2.1 --- Introduction --- p.12 / Chapter 2.2 --- Preliminaries --- p.15 / Chapter 2.3 --- Existence of periodic solutions --- p.22 / Chapter 2.4 --- BP-U.B and Bp -U.U.B of solutions --- p.29 / Chapter 2.5 --- Applications --- p.42 / Chapter 3 --- Stability in Neutral Differential Equations of Nonlinear D- operator with Infinite Delay --- p.47 / Chapter 3.1 --- Introduction --- p.47 / Chapter 3.2 --- Preliminaries --- p.49 / Chapter 3.3 --- Uniformly Asymptotic Stability --- p.57 / Chapter 3.4 --- Applications --- p.74 / Chapter 4 --- Nonoscillation and Oscillation of First Order Linear Neutral Equations --- p.79 / Chapter 4.1 --- Introduction --- p.79 / Chapter 4.2 --- Existence of Nonoscillatory Solutions --- p.80 / Chapter 4.3 --- Oscillation --- p.90 / Chapter 5 --- Nonoscillation and Oscillation of First Order Nonlinear Neu- tral Equations --- p.94 / Chapter 5.1 --- Introduction --- p.94 / Chapter 5.2 --- Existence of Nonoscillatory Solutions --- p.95 / Chapter 5.3 --- Oscillation --- p.102 / Bibliography --- p.108 / List of Author's Publications --- p.114

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_318333
Date January 1995
ContributorsLu, Wudu., Chinese University of Hong Kong Graduate School. Division of Mathematics.
PublisherChinese University of Hong Kong
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, viii, 116 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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