The number of Dirichlet solutions of a fourth order differential equation
1982 ◽
Vol 92
(3-4)
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pp. 233-239
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Keyword(s):
SynopsisIt is shown that the equation (p2y”)”–(p1y’)’+ p0y = 0 has exactly two linearly independent solutions on [0,∞) with finite Dirichlet integral when the coefficients are nonnegative and p2 satisfies a condition which includes all nondecreasing functions. An inequality for the Dirichlet form is derived and used to extend characterizations of the domains of certain self-adjoint operations associated with the differential expression to arbitrary symmetric boundary conditions at 0.
2007 ◽
Vol 20
(11)
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pp. 1131-1136
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1975 ◽
Vol 72
(3)
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pp. 207-214
2003 ◽
Vol 17
(4)
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pp. 341-356
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1998 ◽
Vol 21
(3)
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pp. 479-488
1976 ◽
Vol 75
(4)
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pp. 325-332
2003 ◽
Vol 7
(4)
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pp. 591-604
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