Geodesic
On a Problem for Operator-Differential Second-Order Equations with Nonlocal Boundary Condition
Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 349-353

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An operator-differential second-order equation with nonlocal boundary condition at zero is considered on the semiaxis. Here we give sufficient conditions on the operator coefficients for the regular solvability of the boundary-value problem. Moreover, we obtain conditions for the completeness and minimality of the derivative of the chain of eigen- and associated vectors generated by the boundary-value problem under study and establish the completeness and minimality of the decreasing elementary solutions of the operator-differential equation under consideration.
Keywords: operator-differential second-order equation, regular solvability of a boundary-value problem, Hilbert space, nonlocal boundary condition. 
@article{MZM_2013_94_3_a3,
     author = {K. A. Kerimov and S. S. Mirzoyev},
     title = {On a {Problem} for {Operator-Differential} {Second-Order} {Equations} with {Nonlocal} {Boundary} {Condition}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {349--353},
     publisher = {mathdoc},
     volume = {94},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a3/}
}
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K. A. Kerimov; S. S. Mirzoyev. On a Problem for Operator-Differential Second-Order Equations with Nonlocal Boundary Condition. Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 349-353. http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a3/