Monotone iteration and Green’s functions for boundary value problems
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- by P. W. Eloe and L. J. Grimm PDF
- Proc. Amer. Math. Soc. 78 (1980), 533-538 Request permission
Abstract:
An iteration scheme is given for approximating solutions of boundary problems of the form $Ly = f(x,y),Ty(x) = r$, where L is an nth order linear differential operator, f is continuous and T is a continuous linear operator from ${C^{n - 1}}(I)$ into ${{\mathbf {R}}^n}$. The scheme is based on the condition that the Green’s function $G(x,s)$ for the associated linear problem $Ly = 0,Ty = 0$ exists and has sign independent of s.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 533-538
- MSC: Primary 34B15; Secondary 34B27
- DOI: https://doi.org/10.1090/S0002-9939-1980-0556627-7
- MathSciNet review: 556627