Conference publications

Abstracts

XIX conference

About the uniqueness of the multipoint problem

Zalyapin V.I., Kharitonova E.V.

454080, Chelyabinsk, 76 Lenin a., Mathematical Analysisi Dep.

It is known that the uniqueness of solution follows from the Chebyshev property of the fundamental solution of the corresponding homogeneous problem and the nonoscillation property of the equation. We show that even if interval is an oscillation interval for equation , one can always choose such a set of interpolation nodes that makes the problem uniquely solvable. .

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