Partial difference equations and their application in systems theory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F11%3A00179544" target="_blank" >RIV/68407700:21230/11:00179544 - isvavai.cz</a>
Result on the web
<a href="http://www.benthamdirect.org/pages/content.php?9781608051526" target="_blank" >http://www.benthamdirect.org/pages/content.php?9781608051526</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2174/978160805152611001010077" target="_blank" >10.2174/978160805152611001010077</a>

Result language
angličtina
Original language name
Partial difference equations and their application in systems theory
Original language description
This paper is a survey of basic results of the theory of partial difference equations (PDE's) and its application in multi dimensional systems theory. Existence and uniqueness theorems of solutions of initial value problems, some boundary value problems,fundamental solutions for linear PDE's are presented. Most results are extended to systems of linear PDE's. Recursive solutions play an important role not only in these theorems but can also be used to fnd grow the estimates and formulate further qualitative properties of PDE's. Application of these results to input output relations of linear multidimensional systems (called also nD-systems) enables to introduce concepts analogous to time invariane, ausality, weight functions, impulse response and similar ones, well known from (one dimensional) systems theory. In this paper fundamental results concerning some PDE are described. Some generalizations of earlier published results are introduced.
Czech name
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Czech description
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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