ON THE ASYMPTOTIC SOLUTION OF MULTI-POINT BOUNDARY VALUE PROBLEMS.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The paper analyzes certain multi-point boundary value problems for linear ordinary differential equations which depend on a small, positive parameter epsilon. The differential order of both the equation and the boundary conditions are allowed to drop when epsilon 0. Conditions are obtained to guarantee convergence to a limiting solution as epsilon approaches zero, and complete asymptotic expansions are then given. Author
- Theoretical Mathematics