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Yang, Q. X, Wang, W. Y.. (1390). A class of fourth order differential operators with transmission conditions. , 35(4), 323-332. doi: 10.22099/ijsts.2011.2158
Q. X Yang; W. Y. Wang. "A class of fourth order differential operators with transmission conditions". , 35, 4, 1390, 323-332. doi: 10.22099/ijsts.2011.2158
Yang, Q. X, Wang, W. Y.. (1390). 'A class of fourth order differential operators with transmission conditions', , 35(4), pp. 323-332. doi: 10.22099/ijsts.2011.2158
Yang, Q. X, Wang, W. Y.. A class of fourth order differential operators with transmission conditions. , 1390; 35(4): 323-332. doi: 10.22099/ijsts.2011.2158

A class of fourth order differential operators with transmission conditions

Iranian Journal of Science
مقاله 9، دوره 35، شماره 4، بهمن 2011، صفحه 323-332    اصل مقاله (219.77 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2011.2158
نویسندگان
Q. X Yang* 1؛ W. Y. Wang2
11Mathematics Science College, Inner Mongolia University, Huhhot 010021, P. R. China 2Department of Computer Science and Technology, Dezhou University, Dezhou 253023, P. R. China
2Mathematics Science College, Inner Mongolia University, Huhhot 010021, P. R. China
چکیده
We investigate a class of fourth-order differential operators with eigenparameter dependent boundary conditions and transmission conditions. A self-adjoint linear operator A is defined in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A . We discuss asymptotic behavior of its eigenvalues and completeness of its eigenfunctions. Finally, we obtain the representation of its Green function.
کلیدواژه‌ها
Differential operator؛ eigenvalues؛ eigenfunctions؛ Green function؛ completeness
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