Partial difference equations and their application in systems theory

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Partial difference equations and their application in systems theory

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Partial difference equations and their application in systems theory

Popis výsledku anglicky

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.

Druh

C - Kapitola v odborné knize

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

Some Recent Advances in Partial Difference Equations

ISBN

978-1-60805-152-6

Počet stran výsledku

34

Strana od-do

77-110

Počet stran knihy

142

Název nakladatele

Bentham Science Publishers Ltd.

Místo vydání

Sharjah

Kód UT WoS kapitoly

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