A Two-Point Boundary Problem for Ordinary Self-Adjoint Differential Equations of Fourth Order
1954 ◽
Vol 6
◽
pp. 416-419
◽
Keyword(s):
Class C
◽
The purpose of this note is to establish Theorem A below for the two-point homogeneous vector boundary problemwhere the Pi(x) are given real m × m symmetric matrix functions of x with P0(x) positive definite and Pi(x) of class C2−i on an infinite interval [a, ∞), and where by a solution of (1.1) — (1.2) for a ≤ x1 < x2 < ∞ we understand a real m-dimensional column vector u = u(x) of class C2 on [a, ∞) which is such that Pi(x)u(2−i) is of class C2−i on [a, ∞) and which satisfies (1.1) — (1.2) with the former a vector identity on [a, ∞).
2017 ◽
Vol 20
(10)
◽
pp. 9-16
1961 ◽
Vol 13
◽
pp. 625-638
◽
1970 ◽
Vol 13
(1)
◽
pp. 141-143
◽
1974 ◽
Vol 17
(2)
◽
pp. 251-256
◽
2007 ◽
Vol 20
(11)
◽
pp. 1131-1136
◽
2009 ◽
Vol 223
(2)
◽
pp. 543-551
◽
2004 ◽
Vol 02
(01)
◽
pp. 71-85
◽
Keyword(s):