Sulkhan Mukhigulashvili ON A PRIORI ESTIMATES OF SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENTIAL INEQUALITIES OF HIGHER ORDER WITH BOUNDARY CONDITIONS OF PERIODIC TYPE
نویسنده
چکیده
In the present paper, we consider nonlinear functional differential inequalities appearing in the theory of boundary value problems (see [1]–[6] and the references therein) and formulate new results on a priori estimates of their solutions satisfying the boundary conditions of periodic type. Let n be a natural number, ω > 0, C([0, ω]) be the space of (n − 1) times continuously differentiable functions with the norm ‖u‖Cn−1 = max { n
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