delayed equation
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2015 ◽  
Vol 08 (04) ◽  
pp. 1550046
Author(s):  
Shuxia Pan

This paper is concerned with the asymptotic speed of spreading of a nonlocal delayed equation, which does not satisfy the local quasimonotonicity. By constructing auxiliary undelayed equations, the asymptotic speed of spreading is established. In particular, for such a nonmonotonic equation, the asymptotic speed of spreading is the same as that in the corresponding undelayed equation.



2015 ◽  
Vol 143 (7) ◽  
pp. 3019-3027 ◽  
Author(s):  
Karel Hasik ◽  
Sergei Trofimchuk
Keyword(s):  


2014 ◽  
Vol 34 (9) ◽  
pp. 3511-3533 ◽  
Author(s):  
Karel Hasik ◽  
◽  
Sergei Trofimchuk ◽  
Keyword(s):  


2011 ◽  
Vol 250 (4) ◽  
pp. 1767-1787 ◽  
Author(s):  
Adrian Gomez ◽  
Sergei Trofimchuk
Keyword(s):  


2011 ◽  
Vol 2011 ◽  
pp. 1-28 ◽  
Author(s):  
J. Baštinec ◽  
L. Berezansky ◽  
J. Diblík ◽  
Z. Šmarda

A linear(k+1)th-order discrete delayed equationΔx(n)=−p(n)x(n−k)wherep(n)a positive sequence is considered forn→∞. This equation is known to have a positive solution if the sequencep(n)satisfies an inequality. Our aim is to show that, in the case of the opposite inequality forp(n), all solutions of the equation considered are oscillating forn→∞.



2010 ◽  
Vol 2010 ◽  
pp. 1-12 ◽  
Author(s):  
J. Baštinec ◽  
J. Diblík ◽  
Z. Šmarda


2010 ◽  
Vol 2010 (1) ◽  
pp. 693867 ◽  
Author(s):  
J Baštinec ◽  
J Diblík ◽  
Z Šmarda


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