15.—A Class of Focal Points for Non-self-adjoint Fourth-order Differential Equations
1975 ◽
Vol 72
(3)
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pp. 207-214
Keyword(s):
SynopsisConjugate points are defined in terms of solutions of a linear fourth-order differential equation satisfying two homogeneous boundary conditions at x = α and either u(β) = u′(β) = 0 or u′(γ) = u″(γ) = 0. The smallest β > α and γ > α such that these boundary conditions are satisfied by a non-trivial solution of the equation are denoted by η(α) and ῆ-(α), respectively. Upper bounds are established for min [η(α), ῆ(α)] relative to the conjugate points of a self-adjoint differential equation which is majorised by the more general equation under study.
2007 ◽
Vol 20
(11)
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pp. 1131-1136
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1982 ◽
Vol 92
(3-4)
◽
pp. 233-239
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2003 ◽
Vol 17
(4)
◽
pp. 341-356
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1998 ◽
Vol 21
(3)
◽
pp. 479-488
1976 ◽
Vol 75
(4)
◽
pp. 325-332
2003 ◽
Vol 7
(4)
◽
pp. 591-604
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