A New Generalization of the Haddock Conjecture. Issue 5 (3rd September 2017)

• Record Type: Journal Article
• Authors: Xiao, Songlin
• Is Part Of: Mathematical modelling and analysis. Volume 22:Issue 5(2017)
• Page Start: 634
• Page End: 642
• Publication Date: 2017-09-03
• Subjects: Haddock conjecture -- neutral functional differential equation -- time-varying delay -- asymptotic constancy; 34C12 -- 39A11; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2017.1343206
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: In this paper, we establish some new criteria on the boundedness and asymptotic constancy of solutions for a class of scalar neutral functional differential equations with time-varying delays via differential inequality techniques. Our results are an improvement of existing ones and generalization of the Haddock conjecture.