一类二阶常微分方程初值问题的无穷多解性 |
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引用本文: | 王海玲,张志军.一类二阶常微分方程初值问题的无穷多解性[J].大学数学,2011,27(6):85-87. |
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作者姓名: | 王海玲 张志军 |
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作者单位: | 烟台大学数学与信息科学学院,山东烟台,264005 |
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基金项目: | 国家自然科学基金资助项目,山东省自然科学基金资助项目 |
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摘 要: | 应用分离变量法,得到了一类二阶微分方程初值问题存在无穷多个非负解的充分必要条件,并给出了所有的无穷多个非负解.。
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关 键 词: | 二阶非线性微分方程 初值问题 无穷多解 |
Infinitely Many Solutions to a Class of Initial Value Problems for a Second Order Differential Equations |
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Abstract: | By the separated variable method, we derive a sufficient and necessary condition for the existence of infinitely many solutions to a class of initial value problems for a second order differential equations, and give all the infinitely many solutions. |
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Keywords: | second order differential equations initial value problems infinitely many solutions |
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