Stability and Boundedness for p-Type NFDE

  • V. Lakshmikantham
  • Lizhi Wen
  • Binggen Zhang
Part of the Mathematics and Its Applications book series (MAIA, volume 298)


This chapter deals with stability and boundedness criteria for p-type neutral functional differential equations which include RFDE and NFDE with bounded and unbounded delays. To avoid repetition, we present the results in the framework of two different measures so as to unify several known stability and boundedness concepts. In Section 5.1, we offer several stability results in terms of two measures, while in Section 5.2, we discuss boundedness criteria in the same setup. Examples are worked out to demonstrate fruitfulness of the results considered.


Differential Equation Functional Differential Equation Continuous Derivative Uniform Stability Stability Concept 
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Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • V. Lakshmikantham
    • 1
  • Lizhi Wen
    • 2
  • Binggen Zhang
    • 3
  1. 1.Department of Applied MathematicsFlorida Institute of TechnologyMelbourneUSA
  2. 2.Department of MathematicsDepartment of MathematicsGuangzhouPeople’s Republic of China
  3. 3.Ocean University of QingdaoDepartment of Applied MathematicsQingdaoPeople’s Republic of China

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