Powered by OpenAIRE graph
Found an issue? Give us feedback
https://doi.org/10.1...arrow_drop_down
https://doi.org/10.1007/978-1-...
Part of book or chapter of book . 1994 . Peer-reviewed
Data sources: Crossref
https://link.springer.com/chap...
Other literature type
Data sources: Microsoft Academic Graph
 View all 1 versions
Claim

This Research product is the result of merged Research products in OpenAIRE.

You have already added 0 works in your ORCID record related to the merged Research product.

Stability and Boundedness for Equations with Infinite Delay

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1994 English Publisher:Springer US
Authors: V. Lakshmikantham; Binggen Zhang; Lizhi Wen;

doi: 10.1007/978-1-4615-2606-3_6

Stability and Boundedness for Equations with Infinite Delay

Abstract

This chapter is devoted to the investigation of stability and boundedness results of equations with infinite memory. We shall first discuss, in Sections 6.1 to 6.3, FDE with infinite delay and develop, in the general setup of two different measures, criteria for stability and boundedness. Here we utilize the method of perturbing Lyapunov functions and obtain nonuniform stability properties under weaker assumptions. We shall then concentrate in Section 6.4, on NFDE with infinite memory. Extending Razumikhin's method in terms of the comparison principle, we offer sufficient conditions for various stability properties. Examples are provided to illustrate the results.

Related Organizations
  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!
uploadUpload now