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一类三阶非线性积分微分方程三点边值问题的奇摄动解
SINGULALY PERTURBED THREE-POINT BOUNDARY VALUE PROBLEMS FOR A KIND OF THE THIRD ORDER NONLINEAR INTEGERAL-DIFFERNTIAL EQUATIONS
【摘要】 利用微分不等式的方法,研究三阶积分微分程程三点边值问题:εx'''(t)=f(t,Tx,:x,x',ε)0≤t≤1x'(0)=Ax(θ)=Bx″(1)=C其中:ε>0是小参数;θ是介于0与1之间的常数;为常数。证明了解的存在性,并给出解的渐近估计式。
【Abstract】 This paper diseusses the three-points boundary value problems of the third order in-tegeral-differential equationswhere,ε>0 is amall parameter,E,θare contstants ,θare constants and in the inter-val(0,1).The exstence theorem is proved and an asymptotic estimation of the solution is givenby means of differential inequality method.
【关键词】 微分不等式;
边值问题;
奇摄动;
渐近估计;
【Key words】 differential inequlity; baundary value problem; sIngular perturbation; asymptotic;
【Key words】 differential inequlity; baundary value problem; sIngular perturbation; asymptotic;
- 【文献出处】 南昌大学学报(理科版) ,JOURNAL OF NANCHANG UNIVERSITY(NATURAL SCIENCE) , 编辑部邮箱 ,1995年02期
- 【分类号】O175.5
- 【被引频次】5
- 【下载频次】23