We study the existence of positive solutions of the second order nonlinear differentio-integral equation Lu(t)-(p(t)u′(t))′+q(t)u(t)=f(t,u(t),Tu(t)) with respect to boundary conditions α 0u(0)-u′(0)=α 1u(1...We study the existence of positive solutions of the second order nonlinear differentio-integral equation Lu(t)-(p(t)u′(t))′+q(t)u(t)=f(t,u(t),Tu(t)) with respect to boundary conditions α 0u(0)-u′(0)=α 1u(1)+u′(1)=0 and u(0)=u(1)=0 , respectively, where Tu(t)=∫ 1 0G(t,s)|u′(s)|ds, α 0,α 1≥ 0, α 0+α 1>0, and obtaint some new results.展开更多
文摘We study the existence of positive solutions of the second order nonlinear differentio-integral equation Lu(t)-(p(t)u′(t))′+q(t)u(t)=f(t,u(t),Tu(t)) with respect to boundary conditions α 0u(0)-u′(0)=α 1u(1)+u′(1)=0 and u(0)=u(1)=0 , respectively, where Tu(t)=∫ 1 0G(t,s)|u′(s)|ds, α 0,α 1≥ 0, α 0+α 1>0, and obtaint some new results.
