asymptotic constancy
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scholarly journals A NEW GENERALIZATION OF THE HADDOCK CONJECTURE

2017 ◽  
Vol 22 (5) ◽  
pp. 634-642 ◽  
Author(s):  
Songlin Xiao
Keyword(s):  
Differential Equations ◽  
Differential Inequality ◽  
Functional Differential Equations ◽  
Time Varying ◽  
Neutral Functional Differential Equations ◽  
Inequality Techniques ◽  
Functional Differential ◽  
New Criteria ◽  
Asymptotic Constancy

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.

Asymptotic constancy for a system of impulsive pantograph equations

2014 ◽  
Vol 145 (1) ◽  
pp. 68-79 ◽  
Author(s):  
H. Bereketoğlu ◽  
F. Karakoç
Keyword(s):  
Asymptotic Constancy
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