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Numerical analysis of the eigenvalue problem for one-dimensional differential operator with nonlocal integral conditions. (English) Zbl 1178.65091

Summary: The eigenvalue problem for a one-dimensional differential operator with nonlocal integral conditions is investigated numerically. Special cases of a general problem are analyzed and hypothesis about the dependence of the spectral structure of that problem on the coefficients of differential operator and the parameters of nonlocal conditions are formulated.

MSC:

65L15 Numerical solution of eigenvalue problems involving ordinary differential equations
34L16 Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators
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