数理化力学卷
不适定问题
如果数学问题中未知数连续依赖于已知数,称为“适定问题”,否则就称为“不适定问题”。过去人们研究得比较多的是适定问题,后来发现有些不适定问题也很有意义。例如,第一类弗雷德霍姆积分方程$\backslash \backslash r\backslash \backslash \backslash r\backslash {\int }_{\backslash \backslash r\backslash a\backslash \backslash r\backslash }^{\backslash \backslash r\backslash b\backslash \backslash r\backslash }\backslash \backslash r\backslash \backslash \backslash r\backslash \mathrm{k}\backslash \backslash r\backslash \backslash \backslash r\backslash \backslash \backslash r\backslash \text{(}\backslash \backslash r\backslash s\backslash \backslash r\backslash \text{,}\backslash \backslash r\backslash t\backslash \backslash r\backslash \text{)}\backslash \backslash r\backslash x\backslash \backslash r\backslash \text{(}\backslash \backslash r\backslash t\backslash \backslash r\backslash \text{)}\backslash \backslash r\backslash \mathrm{d}\backslash \backslash r\backslash t\backslash \backslash r\backslash =\backslash \backslash r\backslash f\backslash \backslash r\backslash \text{(}\backslash \backslash r\backslash s\backslash \backslash r\backslash \text{),}\backslash \backslash r\backslash s\backslash \backslash r\backslash \text{∈}\backslash \backslash r\backslash \text{[}\backslash \backslash r\backslash c\backslash \backslash r\backslash \text{,}\backslash \backslash r\backslash d\backslash \backslash r\backslash \text{]}\backslash \backslash r\backslash \text{。}\backslash \backslash r\backslash$已知f(s)、k(s,t),求x(t),就是一个不适定问题。
出处：数理化力学卷-->数学-->计算数学