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Fourth Order Boundary Value Problems and Comparison Theorems

Published online by Cambridge University Press:  20 November 2018

John H. Barrett
John H. Barrett*
Affiliation:
Mathematics Research Center United States Army Madison, Wisconsin
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This paper is primarily concerned with the existence of solutions of the fourth-order self-adjoint differential equation

(1)

(where r(x) > 0, q(x) ≥ 0, p(x) ≥ 0 and all three coefficients are continuous on [a, ∞)) and one of the two-point boundary conditions:

(2)

or

(3)

the subscript notation for any solution y(x) denoting:

(4)

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 13 , 1961 , pp. 625 - 638
Copyright
Copyright © Canadian Mathematical Society 1961

References

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