二阶非线性积分-微分方程边值问题的正解

用锥映射不动点定理讨论了二阶积分—微分方程边值问题正解的存在性 ,把所得的结果应用于四阶常微分方程边值问题 。

一类二阶积分—微分方程解的有界性与渐近性

本文讨论了积分—微分方程 (a(t)x′)′ -F(t,x) -θ(t) ∫tt0h(t,s,x(s) )ds =f(t) ( 1 )解的有界性与渐近性 。

不连续二阶积分微分方程初值问题的惟一性

在一般序Banach空间中研究了含导数的不连续二阶积分微分方程初值问题解的存在惟一性,并给出了解的显式迭代序列和误差估计。

非线性二阶积分-微分解的构造性逼近

研究一类非线性二阶积分-微分方程.用构造的方法得到解的存在性定理.同时,在再生核空间中给出了解的迭代方法.

一类倒向随机微分方程对应的二阶偏微分方程的粘性解

讨论了一类带有Lévy过程的正倒向随机微分方程对应的二阶偏微分方程的粘性解.在系数满足Lipschitz条件下,证明了粘性解的存在性及惟一性.

Partial Differential Equations as Three-Dimensional Inverse Problem of Moments

We considerer partial differential equations of second order, for example the Klein-Gordon equation, the Poisson equation, on a region E = （a1, b1 ） × （a2, b2 ） x （a3, b3 ）. We will see that with a common procedure in all cases, we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve this latter with the techniques of inverse problem moments. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on problem of moments.

Periodic Boundary Value Problems for Second Order Integro-Differential Equations in Banach Spaces

This paper investigates the maximal and minimal solutions of periodic boundary value problems for second order integro-differential equations in Banach spaces by establishing a comparison result and using the monotone iterative method.