On boundary value problems for an nth-order equation
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For an nth-order differential equation with right-hand side satisfying the Carathéodory conditions, we consider a two-point boundary value problem with boundary conditions of which the first two have a general form and the remaining conditions are simplest. We show that the existence of a lower and an upper function and the compactness condition imply the solvability of this boundary value problem.
KeywordsCompactness Condition Nonlinear Boundary Monotonicity Condition Nonlinear Boundary Condition Odory Condition
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