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>Boundary-Value Problems for Differential-Difference Equations with Incommensurable Shifts of Arguments Reducible to Nonlocal Problems
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Boundary-Value Problems for Differential-Difference Equations with Incommensurable Shifts of Arguments Reducible to Nonlocal Problems
Abstract We consider boundary-value problems for differential-difference equations containing incommensurable shifts of arguments in higher-order terms. We prove that in the case of finite orbits of boundary points generated by the set of shifts of the difference operator, the original problem is reduced to a boundary-value problem for differential equation with nonlocal boundary conditions.
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