Storozh O. G.
Conditions for the maximal dissipativity of almost bounded perturbations of smooth restrictions of operators adjoint to symmetric ones
Ukr. Mat. Zh. - 2004. - 56, № 7. - pp. 966–976
We establish conditions for the maximal dissipativity of one class of densely-defined closed linear operators in a Hilbert space. The results obtained are applied to the investigation of some special differential boundary operators.
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
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.
Ukr. Mat. Zh. - 2002. - 54, № 10. - pp. 1396-1402
We investigate one class of perturbations of a closed densely-defined operator in a Hilbert space. These perturbations change the domain of definition of the operator. We prove that the perturbed operator S is closed and densely defined. We construct the adjoint operator S*.
On the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functions
Ukr. Mat. Zh. - 1995. - 47, № 4. - pp. 517–524
A boundary differential operator generated by the Sturm-Liouville differential expression with bounded operator potential and nonlocal boundary conditions is considered. The conditions for a considered operator to be a Fredholm and solvable operator are established and its resolvent is constructed.
Ukr. Mat. Zh. - 1990. - 42, № 6. - pp. 858–860
Ukr. Mat. Zh. - 1989. - 41, № 6. - pp. 789–794
Ukr. Mat. Zh. - 1984. - 36, № 1. - pp. 78 - 82
Ukr. Mat. Zh. - 1982. - 34, № 4. - pp. 451—455
Ukr. Mat. Zh. - 1976. - 28, № 3. - pp. 418–421