排序方式: 共有5条查询结果,搜索用时 78 毫秒
1
1.
利用上下解方法,研究如下一类具有转向点的三阶微分方程的边值问题{ε~2y″′=f(t,y,ε)y″ g(t,y,ε)y′ h(t,y,ε),a相似文献
2.
3.
In this paper, existence of solutions of third-order differential equation
y′″(t)=f(t,y(t),y′(t),y″(t))
with nonlinear three-point boundary condition
{g(y(a),y′(a),y″(a))=0,
h(y(b),y′(b))=0,
I(y(c),y′(c),y″(c))=0
is obtained by embedding Leray-Schauder degree theory in upper and lower solutions method,where a, b, c∈ R,a〈 b〈 c; f : [a,c]×R^3→R,g:R^3→R,h:R^2→R and I:R^3→R are continuous functions. The existence result is obtained by defining the suitable upper and lower solutions and introducing an appropriate auxiliary boundary value problem. As an application, an example with an explicit solution is given to demonstrate the validity of the results in this paper. 相似文献
y′″(t)=f(t,y(t),y′(t),y″(t))
with nonlinear three-point boundary condition
{g(y(a),y′(a),y″(a))=0,
h(y(b),y′(b))=0,
I(y(c),y′(c),y″(c))=0
is obtained by embedding Leray-Schauder degree theory in upper and lower solutions method,where a, b, c∈ R,a〈 b〈 c; f : [a,c]×R^3→R,g:R^3→R,h:R^2→R and I:R^3→R are continuous functions. The existence result is obtained by defining the suitable upper and lower solutions and introducing an appropriate auxiliary boundary value problem. As an application, an example with an explicit solution is given to demonstrate the validity of the results in this paper. 相似文献
4.
非线性三阶常微分方程的非线性三点边值问题解的存在性 总被引:3,自引:0,他引:3
基于上下解方法,在一定条件下,得到了一类带有非线性混合边界条件的三阶常微分方程的非线性三点边值问题解的存在性,作为上述存在性结果的应用,在推论中给出了一类三阶非线性微分方程三点边值问题解的存在性. 相似文献
5.
一类具有高阶转向点的二次问题的奇摄动 总被引:3,自引:0,他引:3
研究带有高阶转向点的二阶非线性微分方程的边值问题εy″=f(t)y′2+g(t,y)y(a,ε)=A,y(b,ε)=B的奇异摄动现象.在一定的条件下,得到了摄动解关于退化解的渐近性质及误差估计. 相似文献
1