On the oscillation property of Green's function of a fourth-order discontinuous boundary-value problem
RC Kulaev - Mathematical Notes, 2016 - Springer
Mathematical Notes, 2016•Springer
The paper deals with conditions under which the Green function of a multipoint boundary-
value problem for fourth-order equations describing small strains of a rod fastened to a solid
elastic basement and additionally fixed by “concentrated” elastic supports at separate points
has the oscillation property. It is shown that the condition that the Green function is positive is
necessary and sufficient for the Green function to have the oscillation property.
value problem for fourth-order equations describing small strains of a rod fastened to a solid
elastic basement and additionally fixed by “concentrated” elastic supports at separate points
has the oscillation property. It is shown that the condition that the Green function is positive is
necessary and sufficient for the Green function to have the oscillation property.
Abstract
The paper deals with conditions under which the Green function of a multipoint boundary-value problem for fourth-order equations describing small strains of a rod fastened to a solid elastic basement and additionally fixed by “concentrated” elastic supports at separate points has the oscillation property. It is shown that the condition that the Green function is positive is necessary and sufficient for the Green function to have the oscillation property.
Springer
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