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一类Volterra型积分微分方程周期边值问题的奇异摄动
Singular Perturbation of Periodic Boundary Value Problem on Integral Differential Equation of Volterra Mode
【摘要】 研究了二阶导数项带小参数的一类Volterra型积分微分方程周期边值问题:εu″=f(t,u,Tu,ω(ε)u′,ε),u(0)=u(1),u′(0)=u′(1),得到了解的存在性和渐近估计。
【Abstract】 The periodic boundary value problem on integral differential equation of Volterra mode bearing minor parameter in a second order derivative term is studied,namely,εu″=f(t,u,Tu,(ε)u′,ε),u(0)=u(1),u′(0)=u′(1),\%thus, both the existence and the asymptotic estimate of solution to the problem are found out.
【关键词】 Volterra型积分微分方程;
存在性;
渐近估计;
【Key words】 volterra integral differential equation; existence; asymptotic estimate;
【Key words】 volterra integral differential equation; existence; asymptotic estimate;
- 【文献出处】 辽宁工学院学报 ,Journal of Liaoning Institute of Technology , 编辑部邮箱 ,2002年06期
- 【分类号】O175.6
- 【下载频次】27