Further properties of the Laplace transform on time scales with arbitrary graininess

DOI10.1080/10652469.2012.689300zbMath1276.44001OpenAlexW4238110136MaRDI QIDQ2841926

Başak Karpuz, Gusein Sh. Guseinov, Martin J. Bohner

Publication date: 30 July 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.689300

zbMATH Keywords

Laplace transformtime scalesperiodic functionsasymptotic valuesintegration of transformstime scale exponential functiontransforms of derivatives and integralstranslation theorems

Mathematics Subject Classification ID

Laplace transform (44A10) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)

Related Items

Delta L'Hospital-, Laplace- and variable limit-type monotonicity rules on time scales ⋮ Periodic functions related to the Gompertz difference equation ⋮ Discrete complementary exponential and sine integral functions ⋮ Volterra theory on time scales ⋮ An ergodic approach to Laplace transforms on time scales ⋮ A transformation method for delta partial difference equations on discrete time scale

Cites Work

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• The \(h\)-Laplace and \(q\)-Laplace transforms
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• The convolution on time scales
• Properties of the Laplace transform on time scales with arbitrary graininess