An existence theorem for the equation u xyz =f
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Keywords
Neural Network Complex System Nonlinear Dynamics Electromagnetism Existence Theorem
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References
- [1]Diaz, J. B.: On an analogue of the Euler-Cauchy polygon method for the numerical solution of u xyz=f(x, y, u, u x, u y). Archive for Rational Mechanics and Analysis 1, No. 4, 357–390 (1958).Google Scholar
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- [3]Leehey, P.: On the existence of not necessarily unique solutions of a classical hyperbolic boundary value problem for non-linear second order partial differential equations in two independent variables. Ph. D. Thesis, Brown University, June 1950.Google Scholar
- [4]Moore, R. H.: On approximate solutions of non-linear hyperbolic partial differential equations. Archive for Rational Mechanics and Analysis 6, No. 1, 75–88 (1960).Google Scholar
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