A Class of Generalized Differential Operators with Infinitely Many Discontinuous Points
We define a class of differential operators T which have infinitely many discontinuous points, and investigate the kernel of T in terms of operator theory. It is shown that the solutions of T have exponential behavior, and the dimension of the kernel is given.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/947182 |
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| _version_ | 1832564952859148288 |
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| author | Yurong Li Jiong Sun Siqin Yao |
| author_facet | Yurong Li Jiong Sun Siqin Yao |
| author_sort | Yurong Li |
| collection | DOAJ |
| description | We define a class of differential operators T which have infinitely many discontinuous points, and investigate the kernel of T in terms of operator theory. It is shown that the solutions of T have exponential behavior, and the dimension of the kernel is given. |
| format | Article |
| id | doaj-art-4af22934b63449e2a7ef54d1eeb7b3a6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4af22934b63449e2a7ef54d1eeb7b3a62025-02-03T01:09:42ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/947182947182A Class of Generalized Differential Operators with Infinitely Many Discontinuous PointsYurong Li0Jiong Sun1Siqin Yao2School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaWe define a class of differential operators T which have infinitely many discontinuous points, and investigate the kernel of T in terms of operator theory. It is shown that the solutions of T have exponential behavior, and the dimension of the kernel is given.http://dx.doi.org/10.1155/2014/947182 |
| spellingShingle | Yurong Li Jiong Sun Siqin Yao A Class of Generalized Differential Operators with Infinitely Many Discontinuous Points Abstract and Applied Analysis |
| title | A Class of Generalized Differential Operators with Infinitely Many Discontinuous Points |
| title_full | A Class of Generalized Differential Operators with Infinitely Many Discontinuous Points |
| title_fullStr | A Class of Generalized Differential Operators with Infinitely Many Discontinuous Points |
| title_full_unstemmed | A Class of Generalized Differential Operators with Infinitely Many Discontinuous Points |
| title_short | A Class of Generalized Differential Operators with Infinitely Many Discontinuous Points |
| title_sort | class of generalized differential operators with infinitely many discontinuous points |
| url | http://dx.doi.org/10.1155/2014/947182 |
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