Two-Point Boundary Value Problems for Essentially Singular Second-Order Linear Differential Equations
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We establish tests for the unique solvability of two-point boundary value problems for second-order linear ordinary differential equations whose coefficients have singularities of arbitrary order at the endpoints of the interval. The tests are, in a sense, sharp.
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- 1.Agarwal, R.P. and Kiguradze, I., Two-point boundary value problems for higher-order linear differential equations with strong singularities, Bound. Value Probl., 2006, article ID 83910.Google Scholar
- 6.Rachůnková I., Staněk S., and Tvrdý M., Singularities and Laplacians in boundary value problems for nonlinear ordinary differential equations, in Handbook of Differential Equations, Vol. 3: Ordinary Differential Equations, Canada, A., Drabek, P., and Fonda, A., Eds., Amsterdam: North Holland, 2006, pp.607–722.CrossRefGoogle Scholar