期刊文献+
共找到3篇文章
< 1 >
每页显示 20 50 100
STABILITY OF TRAVELING WAVES IN A POPULATION DYNAMIC MODEL WITH DELAY AND QUIESCENT STAGE 被引量:2
1
作者 Yonghui ZHOU Yunrui YANG kepan liu 《Acta Mathematica Scientia》 SCIE CSCD 2018年第3期1001-1024,共24页
This article is concerned with a population dynamic model with delay and quiescent stage. By using the weighted-energy method combining continuation method, the exponential stability of traveling waves of the model un... This article is concerned with a population dynamic model with delay and quiescent stage. By using the weighted-energy method combining continuation method, the exponential stability of traveling waves of the model under non-quasi-monotonicity conditions is established. Particularly, the requirement for initial perturbation is weaker and it is uniformly bounded only at x = +∞ but may not be vanishing. 展开更多
关键词 STABILITY traveling waves weighted-energy method
下载PDF
STABILITY OF MONOSTABLE WAVES FOR A NONLOCAL EQUATION WITH DELAY AND WITHOUT QUASI-MONOTONICITY 被引量:1
2
作者 kepan liu Yunrui Yang Yang YANG 《Acta Mathematica Scientia》 SCIE CSCD 2019年第6期1589-1604,共16页
By using the weighted-energy method combining continuation method, the exponential stability of monostable traveling waves for a delayed equation without quasimonotonicity is established, including even the slower wav... By using the weighted-energy method combining continuation method, the exponential stability of monostable traveling waves for a delayed equation without quasimonotonicity is established, including even the slower waves whose speed are close to the critical speed. Particularly, the nonlinearity is nonlocal in the equation and the initial perturbation is uniformly bounded only at x=+∞ but may not be vanishing. 展开更多
关键词 STABILITY TRAVELING WAVES weighted-energy method DELAY
下载PDF
MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF INTEGRAL BOUNDARY VALUE PROBLEM 被引量:3
3
作者 Yang Yang Yunrui Yang kepan liu 《Annals of Applied Mathematics》 2019年第4期364-373,共10页
In this paper,the existence and multiplicity of positive solutions for a class of non-resonant fourth-order integral boundary value problem{u(4)(t)+βu″(t)-au(t)=f(t,u(t),u″(t)),t∈(0,1),u″(0)=u″(1)=0,u(0)=0,u(1)=... In this paper,the existence and multiplicity of positive solutions for a class of non-resonant fourth-order integral boundary value problem{u(4)(t)+βu″(t)-au(t)=f(t,u(t),u″(t)),t∈(0,1),u″(0)=u″(1)=0,u(0)=0,u(1)=(1/λ2-1/λ1)∫01q(s)f(s,u(s),u″(s))ds with two parameters are established by using the Guo-Krasnoselskii's fixedpoint theorem,where f∈C([0,1]×[0,+∞)×(-∞,0],[0,+∞)),q(t)∈L1[0,1]is nonnegative,α,β∈R and satisfyβ<2π2,α>0,α/π4+β/π2<1,λ1,2=(-β+√β^2+4a)/2.The corresponding examples are raised to demonstrate the results we obtained. 展开更多
关键词 positive solutions fixed point integral boundary conditions
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部