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解在加权空间中的一个非线性二阶边值问题(英文)
A nonlinear second-order boundary value problem with solutions in weighted spaces
【摘要】 考察一个解在加权空间中的二阶边值问题,其非线性项关于时间变量可以奇异。通过引入适当的高度函数并且考察此函数的积分,证明一个存在定理,改进了已有的结论。
【Abstract】 A nonlinear second-order two-point boundary value problem with the solutions in weighted spaces is considered. In this problem,the nonlinear term may be singular with respect to the time variable. By introducing a suitable height function and considering its integral,an existence theorem is proved. This theorem obviously extends an existing result.
【关键词】 非线性常微分方程;
加权空间中的边值问题;
解的存在性;
不动点定理;
【Key words】 nonlinear ordinary differential equation; boundary value problem in weighted space; existence of solution; fixed point theorem;
【Key words】 nonlinear ordinary differential equation; boundary value problem in weighted space; existence of solution; fixed point theorem;
【基金】 Supported by the National Natural Science Foundation of China(11071109)
- 【文献出处】 黑龙江大学自然科学学报 ,Journal of Natural Science of Heilongjiang University , 编辑部邮箱 ,2013年06期
- 【分类号】O175.8
- 【下载频次】21