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Existence of solutions for second-order integral boundary value problems. (English) Zbl 1420.34046

Summary: In this paper, using a new comparison result and monotone iterative method, we consider the existence of solution of integral boundary value problem for second-order differential equation. To obtain corresponding results, we also discuss second-order differential inequalities. The interesting point is that the one-sided Lipschitz constant is related to the first eigenvalues corresponding to the relevant operators.

MSC:

34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34A40 Differential inequalities involving functions of a single real variable
34A45 Theoretical approximation of solutions to ordinary differential equations
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