About: Partial difference equations and their application in systems theory

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.benthamdirect.org/pages/content.php?9781608051526
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. 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. (en)
Title	Partial difference equations and their application in systems theory Partial difference equations and their application in systems theory (en)
skos:prefLabel	Partial difference equations and their application in systems theory Partial difference equations and their application in systems theory (en)
skos:notation	RIV/68407700:21230/11:00179544!RIV12-MSM-21230___
http://linked.open...avai/predkladatel	Fakulta elektrotechnická
http://linked.open...avai/riv/aktivita	V
http://linked.open...avai/riv/aktivity	V
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Hekrdla, Josef
http://linked.open.../riv/druhVysledku	C - Kapitola v knize
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta elektrotechnická
http://linked.open...dnocenehoVysledku	219611
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/11:00179544
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Difference equations, partial difference equations, n-dimen- sional sequences, initial value problems, boundary value problems, recursive solution, system theory, discrete system, shift invariant system, translation invariant system, BlBO stability, init (en)
http://linked.open.../riv/klicoveSlovo	BlBO stability Difference equations boundary value problems discrete system init initial value problems n-dimen- sional sequences partial difference equations recursive solution shift invariant system system theory translation invariant system
http://linked.open...ontrolniKodProRIV	[18F59C0FA441]
http://linked.open...i/riv/mistoVydani	Sharjah
http://linked.open...vEdiceCisloSvazku	č. sv. Vol 1
http://linked.open...i/riv/nazevZdroje	Some Recent Advances in Partial Difference Equations
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...v/pocetStranKnihy	142 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...iv/tvurceVysledku	Gregor, J. Hekrdla, Josef
number of pages	34 (xsd:int)
http://bibframe.org/vocab/doi	10.2174/978160805152611001010077
http://purl.org/ne...btex#hasPublisher	Bentham Science Publishers Ltd.
https://schema.org/isbn	978-1-60805-152-6
http://localhost/t...ganizacniJednotka	21230
is http://linked.open...avai/riv/vysledek of	Partial difference equations and their application in systems theory Partial difference equations and their application in systems theory

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