Non-linear networks and boundary value problems

Author:
T. A. Dwyer

Journal:
Quart. Appl. Math. **19** (1962), 285-300

MSC:
Primary 78.35

DOI:
https://doi.org/10.1090/qam/135473

MathSciNet review:
135473

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References | Similar Articles | Additional Information

**[1]**G. Birkhoff and J. B. Diaz,*Non-linear network problems*, Quart. Appl. Math.**13**, 431-443 (1956) MR**0077398****[2]**J. B. Diaz and R. C. Roberts,*On the numerical solution of the Dirichlet problem for Laplace's difference equation*, Quart. Appl. Math.**9**, 355-360 (1952) MR**0044225****[3]**F. Harary,*The number of functional digraphs*, Math. Annalen**138**, 203-210 (1959) MR**0109130****[4]**R. J. Duffin,*Non-linear networks IIA*, Bull. Amer. Math. Soc.**53**, 963-971 (1947) MR**0022960****[5]**J. L. Synge,*The fundamental theorem of electrical networks*, Quart. Appl. Math.**9**, 113-127 (1951) MR**0042958****[6]**J. B. Diaz and R. C. Roberts,*Upper and lower bounds for the numerical solution of the Dirichlet difference boundary value problem*, J. Math. Phys.**31**, 184-191 (1952) MR**0051589****[7]**C. Saltzer,*Discrete potential theory for two-dimensional Laplace and Poisson difference equations*, NACA TN 4086, Washington, D. C. (1958)

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Additional Information

DOI:
https://doi.org/10.1090/qam/135473

Article copyright:
© Copyright 1962
American Mathematical Society