Browsing by Author "Karpuz, Basak"
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Article Citation Count: 9Further properties of the Laplace transform on time scales with arbitrary graininess(Taylor & Francis Ltd, 2013) Hüseyin, Hüseyin Şirin; Guseinov, Gusein Sh; Karpuz, Basak; MathematicsIn this work, we generalize several properties of the usual Laplace transform to the Laplace transform on arbitrary time scales. Among them are translation theorems, transforms of periodic functions, integration of transforms, transforms of derivatives and integrals, and asymptotic values.Article Citation Count: 24Properties of the Laplace transform on time scales with arbitrary graininess(Taylor & Francis Ltd, 2011) Hüseyin, Hüseyin Şirin; Guseinov, Gusein Sh.; Karpuz, Basak; MathematicsWe generalize several standard properties of the usual Laplace transform to the Laplace transform on arbitrary time scales. Some of these properties were justified earlier under certain restrictions on the graininess of the time scale. In this work, we have no restrictions on the graininess.