摘要
利用新的比较结果和半序方法,研究了B anach空间中二阶积-微分方程组初值问题解的存在唯一性及逼近解的迭代序列和误差估计.
By establishing some new comparison results and using the partial order method, the maximal and minimal solutions, the unique solution and theiterative approcimation of solutions of the initial value problems for systems of nonlinear second-order integro-differential equations in Banach spaces are investigated. The results presented here essentially improve, generalize and unify some well-known results. An example illustrates the results obtained.
出处
《应用泛函分析学报》
CSCD
2009年第4期318-324,共7页
Acta Analysis Functionalis Applicata
关键词
非线性二阶积-微分方程组
迭代序列
BANACH空间
唯一解
systems of nonlinear second-order integro-differential equations
initial value problems
Banach spaces
the unique solution
