We define a class of differential operators which have infinitely many discontinuous points, and investigate the kernel of in terms of operator theory. It is shown that the solutions of have exponential behavior, and the dimension of the kernel is given.
Yurong Li. Jiong Sun. Siqin Yao. "A Class of Generalized Differential Operators with Infinitely Many Discontinuous Points." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/947182