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Journal of the London Mathematical Society 1971 s2-3(3):429-436; doi:10.1112/jlms/s2-3.3.429
© 1971 by London Mathematical Society
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© Oxford University Press

Three-Point Boundary Value Problems in Differential Equations

M. Gregus, F. Neuman and F. M. Arscott

University of Bratislava Czechoslovakia
University of Brno Czechoslovakia
University of Surrey Guildford, Surrey

This paper establishes the existence, under quite broad conditions, of solutions of the two-parameter eigenvalue problem formed by the differential equation y'' + [q(x; {lambda}, µ)+ r(x)]y = 0 and the three-point boundary conditions

y(a) = y(b) = y(c) =, 0

{lambda} and µ being the parameters whose eigenvalues aie sought.


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