2017
Том 69
№ 9

All Issues

A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions

Mylyo O. Ya., Storozh O. G.

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Abstract

We prove that a differential boundary operator of the Sturm–Liouville type on a semiaxis with two-point integral boundary conditions that acts in the Hilbert space L 2(0, ∞) is closed and densely defined. The adjoint operator is constructed. We also establish criteria for the maximal dissipativity and maximal accretivity of this operator.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 11, pp 1794-1801.

Citation Example: Mylyo O. Ya., Storozh O. G. A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions // Ukr. Mat. Zh. - 2002. - 54, № 11. - pp. 1480-1485.

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