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- 2018
带超越共振点非线性项的二阶常微分方程边值问题的可解性
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Abstract:
摘要： 考虑非线性二阶常微分方程边值问题:{u″+f(t,u)=h(t), t∈(0,1),u(0)=u(1)=0,得到了当(f(t,s))/s 在某些“较小的集合”上超出特征值区间［λk0, λk0+1］ 时,该问题解的存在唯一性结果。
Abstract: We study the existence and uniqueness of solutions of the boundary value problem for nonlinear second-order ordinary equations:{u″+f(t,u)=h(t), t∈(0,1),u(0)=u(1)=0,under the conditions that (f(t,s))/s may exceeds the eigenvalue interval ［λk0, λk0+1］ in some “smaller sets”. The existence and uniqueness of solutions of this equation are obtained
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