| 胡适耕.非线性项有非线性增长的2阶泛函微分方程边值问题[J].数学研究及应用,1996,16(4):622~626 |
| 非线性项有非线性增长的2阶泛函微分方程边值问题 |
| Boundary Value Problems for Second Order Functional Differential Equations with Nonlinearily Growthing Nonlinear Term |
| 投稿时间：1994-04-05 修订日期：1996-06-16 |
| DOI：10.3770/j.issn:1000-341X.1996.04.027 |
| 中文关键词: 泛函微分方程 边值问题 非线性增长 |
| 英文关键词:functional differential equation,boundary value problem,nonlinear growth. |
| 基金项目: |
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| 中文摘要: |
| 本文考虑下述２阶泛函微分方程边值问题：x″(t)=f(t,xt,x′(t))(00=φ,x(b)=B.对于ｆ有非线性增长的情况，得出了上述问题可解的某些充分条件。 |
| 英文摘要: |
| This paper considers the following boundary value problem for second order functional differential equation: x″(t)=f(t,xt,x′(t))(00=φ,x(b)=B .For the case that f has nonlinear growth，some sufficient conditions for solvability of the above problem are obtained. |
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