In this paper, the following initial value problem for nonlinear integro-differential equationis considered , whereUsing the method of upper and lower solutions and the monotone iterative technique .We obtain exist...In this paper, the following initial value problem for nonlinear integro-differential equationis considered , whereUsing the method of upper and lower solutions and the monotone iterative technique .We obtain existence results of minimal and maximal solutions .展开更多
We study the existence of positive solutions to a two-order semilineav elliptic problem with Dirichlet boundary condition（Pλ）{-div（c（x）△u=λf（u）inΩ,u=0 on ЭΩ where ΩCR n 〉 2 is a smooth bounded domain; ...We study the existence of positive solutions to a two-order semilineav elliptic problem with Dirichlet boundary condition（Pλ）{-div（c（x）△u=λf（u）inΩ,u=0 on ЭΩ where ΩCR n 〉 2 is a smooth bounded domain; f is a positive, increasing and convex source term and c（x） is a smooth bounded positive function on Ω, We also prove the existence of critical value and claim the uniqueness of extremal solutions.展开更多
文摘In this paper, the following initial value problem for nonlinear integro-differential equationis considered , whereUsing the method of upper and lower solutions and the monotone iterative technique .We obtain existence results of minimal and maximal solutions .
文摘We study the existence of positive solutions to a two-order semilineav elliptic problem with Dirichlet boundary condition（Pλ）{-div（c（x）△u=λf（u）inΩ,u=0 on ЭΩ where ΩCR n 〉 2 is a smooth bounded domain; f is a positive, increasing and convex source term and c（x） is a smooth bounded positive function on Ω, We also prove the existence of critical value and claim the uniqueness of extremal solutions.
基金Tianshan Youth Technology Talents Training Program(2017Q032)Doctoral Starting Funds of Xinjiang Institute of Engineering(2016xgy351812)Education Department of Xinjiang Uygur Autonomous Region(2017jyt012006)
