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Self-adjoint Boundary Value for Products of Limit-point Fourth-order Differential Operators

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2005年01期
Page:
116-118
Research Field:
Publishing date:

Info

Title:
Self-adjoint Boundary Value for Products of Limit-point Fourth-order Differential Operators
Author(s):
YANG Chuan-fu1WANG Yu-ping2
1.School of Sciences, NUST, Nanjing 210094, China; 2.College of Information Science and Technology, Nanjing Forest University, Nanjing 210037, China
Keywords:
lim i-t po in t d ifferent ial expression se l-f ad jo int operato r products of differentia l operators
PACS:
O175.3
DOI:
-
Abstract:
For the d ifferentia l expression l (y ) = y ( 4) - (pyc) c+ qy, tI [ a, ] ), under the assumpt ion that l k (y ) ( k= 1, 2) is lim i-t po in,t employ ing C alk in. s theorem and the theory o f sel-f adjoint ex tensions of di-f ferent ial operators, w e investigated the sel-f ad jo intness of product operator L2L1 where Li ( i= 1, 2) are generated by l (y ) w ith some boundary cond itions. A necessary and suffic ient cond ition for se l-f ad jo intness o f L2L1 w as obtained by boundary condit ions. This result is useful in theory o f the d ifferentia l operators

References:

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Last Update: 2013-03-03