In this paper, the existence o f a positive periodic solution to the following neutral predator_prey system (t)=rH(t)1-a 1(t)H(t-τ)+a 2(t-τ)K-α(t)H(t)P(t), (t)=-b(t)P(t)+β(t)H(t)P(t) is studied,in which ...In this paper, the existence o f a positive periodic solution to the following neutral predator_prey system (t)=rH(t)1-a 1(t)H(t-τ)+a 2(t-τ)K-α(t)H(t)P(t), (t)=-b(t)P(t)+β(t)H(t)P(t) is studied,in which r,a 2,K and τ are positive constants, and a 1(t ),α(t),b(t) and β(t) are positive continuous functions of period ω .展开更多
The author investigates the existence of positive and nontrivial solutions for superlinear (n - 1, 1) conjugate boundary value problems by means of topological degree theory and cone theory. The main theorems improve ...The author investigates the existence of positive and nontrivial solutions for superlinear (n - 1, 1) conjugate boundary value problems by means of topological degree theory and cone theory. The main theorems improve some results published recently.展开更多
In this paper, we consider a second-order periodic boundary value problem. By the topological degree theory and fixed point index theory, we prove the existence of positive solutions which gives the relationship betwe...In this paper, we consider a second-order periodic boundary value problem. By the topological degree theory and fixed point index theory, we prove the existence of positive solutions which gives the relationship between the first positive eigenvalue of the associated eigenvalue problem and the behavior of the nonlinear term of the system.展开更多
In this paper, we investigates the existence of positive solutions for a class of quasilinear elliptic equations by using the topological degree argument.
应用拓扑度理论及下解的方法,讨论了以下带有两个参数的四阶多点边值问题u(4)(t)+βu′′(t)-αu(t)=μh(t)f(t,u(t),u′′(t)),0<t<1,u(0)=sum from i=1 to m-2 (aiu(εi)),u(1)=sum from i=1 to m-2 (biu(εi)),u′′(0)=sum fr...应用拓扑度理论及下解的方法,讨论了以下带有两个参数的四阶多点边值问题u(4)(t)+βu′′(t)-αu(t)=μh(t)f(t,u(t),u′′(t)),0<t<1,u(0)=sum from i=1 to m-2 (aiu(εi)),u(1)=sum from i=1 to m-2 (biu(εi)),u′′(0)=sum from i=1 to m-2 (aiu′′(εi)),u′′(1)=sum from i=1 to m-2 (biu′′(εi)),的正解.其中0=ε0<ε1<ε2<…<εm-2<εm-1=1,ai,bi(i=1,2,…,m-2)将给出适当条件,f∈C([0,1]×R2,R),α,β∈R且β<2π2,α≥-β2/4,α/π4+β/π2<1.展开更多
文摘In this paper, the existence o f a positive periodic solution to the following neutral predator_prey system (t)=rH(t)1-a 1(t)H(t-τ)+a 2(t-τ)K-α(t)H(t)P(t), (t)=-b(t)P(t)+β(t)H(t)P(t) is studied,in which r,a 2,K and τ are positive constants, and a 1(t ),α(t),b(t) and β(t) are positive continuous functions of period ω .
基金The author is supported in part by NNSF of China and Monbusho Scholarship of Japan.
文摘The author investigates the existence of positive and nontrivial solutions for superlinear (n - 1, 1) conjugate boundary value problems by means of topological degree theory and cone theory. The main theorems improve some results published recently.
基金Supported by National Natural Science Foundation of China (11161022)Natural Science Foundation of Jiangxi Province (20114BAB211006 and 20122BAB201015)Educational Department of Jiangxi Province (GJJ12280)
文摘In this paper, we consider a second-order periodic boundary value problem. By the topological degree theory and fixed point index theory, we prove the existence of positive solutions which gives the relationship between the first positive eigenvalue of the associated eigenvalue problem and the behavior of the nonlinear term of the system.
基金Project supported by Natural Science Foundation of Shandong Province of China(Z2000A02,Y2001A03)and the Excellent Middle-Young Scientists Scientific Research Award Foundation of Shandong Province of China(02BS119)and Foundation of Education Department of
文摘An existence theorem of two positive solutions of the singular BVPwas established by using topological degree theory.
文摘In this paper, we investigates the existence of positive solutions for a class of quasilinear elliptic equations by using the topological degree argument.
文摘应用拓扑度理论及下解的方法,讨论了以下带有两个参数的四阶多点边值问题u(4)(t)+βu′′(t)-αu(t)=μh(t)f(t,u(t),u′′(t)),0<t<1,u(0)=sum from i=1 to m-2 (aiu(εi)),u(1)=sum from i=1 to m-2 (biu(εi)),u′′(0)=sum from i=1 to m-2 (aiu′′(εi)),u′′(1)=sum from i=1 to m-2 (biu′′(εi)),的正解.其中0=ε0<ε1<ε2<…<εm-2<εm-1=1,ai,bi(i=1,2,…,m-2)将给出适当条件,f∈C([0,1]×R2,R),α,β∈R且β<2π2,α≥-β2/4,α/π4+β/π2<1.
