Existence theorems for higher order boundary value problems
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- by Keith Schrader and S. Umamaheswaram PDF
- Proc. Amer. Math. Soc. 47 (1975), 89-97 Request permission
Abstract:
In this paper the differential equation ${y^{(n)}} = f(x,y)$ and associated boundary conditions ${y^{(r)}}({x_i}) = {y_{ir}}$ for $i = 1,2, \cdots ,k$ and $r = 0,1, \cdots ,\lambda (i) - 1$ where $\lambda (1) + \lambda (2) + \cdots + \lambda (k) = n$ are considered. Sufficient conditions on $f$ are given to insure the existence of a solution to this $k$ point boundary value problem. In the special cases when $k = 2$ or $k = 3$ sufficient conditions on $f$ are given to insure both uniqueness and existence of solutions for certain of the boundary value problems.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 89-97
- DOI: https://doi.org/10.1090/S0002-9939-1975-0352592-4
- MathSciNet review: 0352592