Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Zdzisław Kamont"'
Autor:
Zdzisław Kamont
Publikováno v:
Opuscula Mathematica, Vol 34, Iss 2, Pp 217-242 (2014)
A generalized Cauchy problem for quasilinear hyperbolic functional differential systems is considered. A theorem on the local existence of weak solutions is proved. The initial problem is transformed into a system of functional integral equations for
Externí odkaz:
https://doaj.org/article/788156c63bce41899d19761c19026d58
Autor:
Zdzisław Kamont
Publikováno v:
Opuscula Mathematica, Vol 25, Iss 1, Pp 109-130 (2005)
We give a theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type. We apply this general result in the investigation of the stability of difference schemes generated by nonlinear first order par
Externí odkaz:
https://doaj.org/article/2a4120e7b5c14664861125fe4dfa7367
Autor:
Zdzisław Kamont, Anna Szafrańska
Publikováno v:
Computational Methods in Applied Mathematics. 14:151-175
Initial boundary value problems of the Dirichlet type for quasilinear functional differential equations are considered. Explicit difference schemes of the Euler type and implicit difference methods are investigated. Sufficient conditions for the conv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2aa04e38385c90ae95a06ff52804a5fb
https://doi.org/10.1515/cmam-2013-0025
https://doi.org/10.1515/cmam-2013-0025
Autor:
Wojciech Czernous, Zdzisław Kamont
Publikováno v:
Applied Mathematics and Computation. 218:8758-8772
Initial boundary value problems of Dirichlet type for first order partial functional differential equations are considered. Explicit difference schemes and implicit difference methods are investigated. Sufficient conditions for the convergence of app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3838dec3a7103b0258ce59e4f408d11e
https://doi.org/10.1016/j.amc.2012.02.034
https://doi.org/10.1016/j.amc.2012.02.034
Autor:
Zdzisław Kamont, W. Czernous
Publikováno v:
Computational Mathematics and Mathematical Physics. 52:330-350
Initial and initial boundary value problems for first order partial functional differential equations are considered. Explicit difference schemes of the Euler type and implicit difference methods are investigated. The following theoretical aspects of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47cbedf1f4c1474998900ec45b0d3e4c
https://doi.org/10.1134/s0965542512030050
https://doi.org/10.1134/s0965542512030050
Autor:
Karolina Kropielnicka, Zdzisław Kamont
Publikováno v:
Numerical Analysis and Applications. 4:294-308
A general theory of implicit difference schemes for nonlinear functional differential equations with initial boundary conditions is presented. A theorem on error estimates of approximate solutions for implicit functional difference equations of the V
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d778c4e86afebc0d9198f677299fe6c8
https://doi.org/10.1134/s1995423911040033
https://doi.org/10.1134/s1995423911040033
Autor:
Zdzisław Kamont
Publikováno v:
Zeitschrift für Analysis und ihre Anwendungen. :105-128
A general theory of implicit difference schemes for nonlinear functional differential equations with initial boundary conditions is presented. A theorem on error estimates of approximate solutions for implicit functional difference equations of the V
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6176c437e299f87acb3f1131277660fe
https://doi.org/10.4171/zaa/1427
https://doi.org/10.4171/zaa/1427
Autor:
W. Czernous, Zdzisław Kamont
Publikováno v:
Applicationes Mathematicae. 38:315-340
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e01ac1a44b1c4a955a0b62981754878b
https://doi.org/10.4064/am38-3-4
https://doi.org/10.4064/am38-3-4
Autor:
Zdzisław Kamont, Karolina Kropielnicka
Publikováno v:
Applicable Analysis. 88:1631-1650
Initial boundary value problems for nonlinear parabolic functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations. A comparison theorem for differential differenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92f02b981702654e14ccee91a3760bcf
https://doi.org/10.1080/00036810903329936
https://doi.org/10.1080/00036810903329936
Autor:
Zdzisław Kamont, Karolina Kropielnicka
Publikováno v:
Journal of Mathematical Inequalities. :407-427
We give a theorem on implicit difference functional inequalities of the Volterra type for functions of several variables. We apply this general result in the investigation of the stability of implicit difference functional equations with initial boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d7acb5e534b2b8842d11bbd0ad4d440
https://doi.org/10.7153/jmi-02-36
https://doi.org/10.7153/jmi-02-36