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一类二阶Volterra-hammerstein型积分微分方程非线性边值问题
Nonlinear Boundary Value Problems for a Class Second Order Volterra-hammerstein Type lntegrodifferential Equations
【摘要】 本文利用上下解方法研究了一类Volterra-hammerstein型积分微分方程非线性边值问题(|u|p-2u)=f(t,u,T1u,T2u,u)(p>1)L(u(0),u(0))=0R(u(1),u(1))=0{[Tiu](t)=φi(t)+∫toKi(t,s)u(s)ds(i=1,2)给出了解的存在性定理.
【Abstract】 The present paper covers nonlinear boundary value problem for a class second order Volterra-hammestein type integrodifferential equation (Φ p(u))=f(t,u,T 1u,T 2u,u),L(u(0),u(0))=0,R(u(1),u(1))=0 is studied by using upper and lower solution and obtained existence theorems.
【关键词】 Voltera-hammerstein型积分微分方程;
存在性定理;
上、下解;
【Key words】 Volterra-hammerstein type integrodifferential equation; existence theorems; upper and lower solutions;
【Key words】 Volterra-hammerstein type integrodifferential equation; existence theorems; upper and lower solutions;
【基金】 河南省教委资助
- 【文献出处】 河南师范大学学报(自然科学版) ,JOURNAL OF HENAN NORMAL UNIVERSITY , 编辑部邮箱 ,1997年03期
- 【分类号】O175.8
- 【下载频次】31