Geodesic
On the Oscillation Property of Green's Function of a Fourth-Order Discontinuous Boundary-Value Problem
Matematičeskie zametki, Tome 100 (2016) no. 3, pp. 375-387

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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.
Keywords: fourth-order boundary-value problem, Green function, the oscillation property, oscillation theorem, sign regularity. 
@article{MZM_2016_100_3_a4,
     author = {R. Ch. Kulaev},
     title = {On the {Oscillation} {Property} of {Green's} {Function} of a {Fourth-Order} {Discontinuous} {Boundary-Value} {Problem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {375--387},
     publisher = {mathdoc},
     volume = {100},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_3_a4/}
}
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R. Ch. Kulaev. On the Oscillation Property of Green's Function of a Fourth-Order Discontinuous Boundary-Value Problem. Matematičeskie zametki, Tome 100 (2016) no. 3, pp. 375-387. http://geodesic.mathdoc.fr/item/MZM_2016_100_3_a4/