On the Multiplicity of Solutions Of a Differential Equation Arising in Chemical Reactor Theory
On the Multiplicity of Solutions Of a Differential Equation Arising in Chemical Reactor Theory
复制标题
论化学反应器理论中微分方程解的多重性
DOI：
10.1002/sapm1975544293
复制
发表时间：
1975
期刊：
影响因子：
--
通讯作者：
P. Stein
中科院分区：
文献类型：
--
作者：
S. Parter;M. L. Stein;P. Stein
摘要：考虑边值问题 y 双素数 + 1/x y' + beta exp (- 1//y/) = 0, y'(0) = y(1) = tau，其中 beta > 或 = 0，tau > 或 = 0。作者关注的是 tau 正象限（tau > 或 = 0，beta > 或 = 0）的任何有界部分中解数的严格数学数值研究，贝塔平面。然后，这些正确的计算结果可以与之前开发的渐近（β 接近无穷大，tau > 或 = 0）结果相匹配。 （修改作者摘要）
Abstract : Consider the boundary value problem y double prime + 1/x y' + beta exp (- 1//y/) = 0, y'(0) = y(1) = tau where beta > or = 0, tau > or = 0. The authors are concerned with a mathematically rigorous numerical study of the number of solutions in any bounded portion of the positive quadrant (tau > or = 0, beta > or = 0) of the tau, beta plane. These correct computational results may then be matched with asymptotic (beta nears infinity, tau > or = 0) results developed earlier. (Modified author abstract)