Краевая задача для одного уравнения с отклоняющимся аргументом
In work conditions of solvability of a boundary value problem for equation with a perturbed argument are received. For receiving conditions of solvability the boundary value problem write down on the corresponding space in the form of one quasilinear operator equation to which the theorem of existence of the solution with a condition on area border is applied. The boundary value problem is considered in case of a resonance that is when the linear operator from the quasilinear operator equation isn't reversible. The boundary value problem of this sort meets when modeling dynamics of the fixed business assets in one-sector economy. As application of the main theorem, conditions of resolvability for a special case of a boundary value problem for the equation with perturbed argument with constant coefficients are received.