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STABILITY OF TRAVELING WAVES IN A POPULATION DYNAMIC MODEL WITH DELAY AND QUIESCENT STAGE 被引量:2
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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
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STABILITY OF MONOSTABLE WAVES FOR A NONLOCAL EQUATION WITH DELAY AND WITHOUT QUASI-MONOTONICITY 被引量:1
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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
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TRIPLE POSITIVE SOLUTIONS TO A CLASS OF NONLINEAR BEAM EQUATIONS 被引量:1
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作者 Li Liu yunrui yang 《Annals of Differential Equations》 2015年第1期62-67,共6页
In this paper, an existence criterion of triple positive solutions to a class of nonlinear beam equations is established using the Leggett-Williams fixed point theorem.An example is also included to demonstrate the re... In this paper, an existence criterion of triple positive solutions to a class of nonlinear beam equations is established using the Leggett-Williams fixed point theorem.An example is also included to demonstrate the result. The interesting point is that the nonlinear term is involved with all low-level derivatives. 展开更多
关键词 TRIPLE CLASS criterion satisfying NONNEGATIVE CONCAVE proof iterative meaningful ASSUMPTION
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MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF INTEGRAL BOUNDARY VALUE PROBLEM 被引量:3
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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
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POSITIVE SOLUTIONS TO A BVP WITH TWO INTEGRAL BOUNDARY CONDITIONS 被引量:1
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作者 Kaikai Liu yunrui yang yang yang 《Annals of Applied Mathematics》 2020年第3期248-256,共9页
Based on the Guo-Krasnoselskii’s fixed-point theorem,the existence and multiplicity of positive solutions to a boundary value problem(BVP)with two integral boundary conditions{v(4)=f(s,v(s),v′(s),v〞(s)),s∈[0,1],v... Based on the Guo-Krasnoselskii’s fixed-point theorem,the existence and multiplicity of positive solutions to a boundary value problem(BVP)with two integral boundary conditions{v(4)=f(s,v(s),v′(s),v〞(s)),s∈[0,1],v′(1)=v′'′(1)=0,v(0)=∫10 g1(T)v(T)dT,v′′(0)=∫10 g2(T)v′′(T)dT}are obtained,where f,g1,g2 are all continuous.It generalizes the results of one positive solution to multiplicity and improves some results for integral BVPs.Moreover,some examples are also included to demonstrate our results as applications. 展开更多
关键词 integral boundary conditions positive solutions CONE
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MULTIPLICITY OF POSITIVE SOLUTIONS TO A CLASS OF MULTI-POINT BOUNDARY VALUE PROBLEM
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作者 Bao Zhao yunrui yang Yonghui Zhou 《Annals of Applied Mathematics》 2019年第2期212-220,共9页
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关键词 POSITIVE solutions multi-point BOUNDARY VALUE problem fixed POINT
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TRIPLE POSITIVE SOLUTIONS OF A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEM
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作者 Shoupeng Zhang yunrui yang Li Liu 《Annals of Applied Mathematics》 2015年第4期462-470,共9页
In this paper, we establish an existence criterion of triple positive solutions of a class of nonlinear fourth-order three-point boundary value problem by the Leggett- Williams fixed point theorem. The interesting poi... In this paper, we establish an existence criterion of triple positive solutions of a class of nonlinear fourth-order three-point boundary value problem by the Leggett- Williams fixed point theorem. The interesting point is that the nonlinear term is involved with all low-level derivatives. 展开更多
关键词 positive solutions three-point boundary value problem fixed point
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