Dang Vu Giang

Nonlinear delay differential equations involving population growth

Conditions are given on the function @?, such that population @g(t) given by#x003C7;(t) = @m@g(t) + @?(@g(t - @t)), becomes extinct or remains globally stable. Our theorems are shown to be applicable to the Nicholsons model of blowflies and the population dynamics of baleen whales. In some of these cases, the function @? is unimodal rather than monotone.

On the integrability of trigonometric series

AbstractпУстьϕ(t) — ФУНкцИь УНг А, УДОВлЕтВОРьУЩАь НЕ кОтОРыМ ДОпОлНИтЕльНыМ УслО ВИьМ. В РАБОтЕ ДОкАжыВАЕтс ь, ЧтО ЕслИ пОслЕДОВАт ЕльНОсть {ak} стРЕМИтсь к НУлУ И

On the exactness of a theorem of G.A. Fomin

\mathop \Sigma \limits_{m = 0}^\infty 2^m \varphi ^{ - 1} (2^{ - m} )\varphi ^{ - 1} (\mathop \Sigma \limits_{2^m< k\underset{\raise0.3em\hbox{

Delay model of glucose-insulin systems: Global stability and oscillated solutions conditional on delays

\smash{\scriptscriptstyle-}

The strong summability of Fourier transforms

}}{ \leqslant } 2^{m + 1} } \varphi (\Delta a_k ))< \infty ,

A New Characterization of Besov Spaces on the Real Line

гДЕϕ−1 — ОБРАтНАь кϕ, тО кОсИНУс-РьД

Extinction, persistence and global stability in models of population growth

\tfrac{1}{2}a_0 + \mathop \Sigma \limits_{k = 1}^\infty a_k \cos kx