Difference methods for infinite systems of hyperbolic functional differential equations on the Haar pyramid
We consider the Cauchy problem for infinite system of differential functional equations \[\partial_tz_k(t,x)=f_k(t,x,z,\partial_xz_k(t,x)),\;k\in\mathbf{N}.\] In the paper we consider a general class of difference methods for this problem. We prove the convergence of methods under the assumptions th...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2004-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol24/1/art/opuscula_math_2407.pdf |