复合型方程非局部边值条件边值问题解的研究
Investigation of solutions of boundary value problems for a composite type equation with non-local boundary conditions
摘要:
既然椭圆型模型方程(拉普拉斯方程)的阶数是二[1]、[2],那么复合型模型方程的阶数自然必然是[3]、[4]、[5]三。在所考虑的域的每一点处,这些方程具有实的和复的特性。二阶复合型方程的边值问题首次出现在文献[6]中。研究边值问题的Fredholm性质的方法是本文作者之一的独特方法。
英文摘要:
Since the order of elliptic type model equation (Laplace equation) is two [1], [2], then it is natural the order of composite type model equation must be [3] [4] [5] three. At each point of the domain under consideration these equations have both real and complex characteristics. Notice that a boundary value problem for a composite type equation of second order first appeared in the paper [6]. The method for investigating the Fredholm property of boundary value problems is distinctive and belongs to one of the authors of the present paper.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。