论文标题
关于分数Sobolev空间中Fredholm边界值问题的溶解度
On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces
论文作者
论文摘要
研究了有限间隔中分数SOBOLEV空间中具有最一般不均匀边界条件的线性普通微分方程系统。证明了相应的BANACH空间中此类问题的弗雷霍尔姆特性，并发现了它们的内核和焦点的指标和尺寸。给出了显示获得结果的建设性特征。
Systems of linear ordinary differential equations with the most general inhomogeneous boundary conditions in fractional Sobolev spaces on a finite interval are studied. The Fredholm property of such problems in corresponding pairs of Banach spaces is proved, and their indices and dimensions of kernels and cokernels are found. Examples are given that show the constructive character of the obtained results.
