The h-Laplace and q-Laplace transforms

被引：52

作者：

Bohner, Martin ^{[1
]}

Guseinov, Gusein Sh. ^{[2
]}

机构：

[1] Missouri S&T, Dept Math, Rolla, MO 65401 USA

[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 01期

基金：

美国国家科学基金会;

关键词：

Time scales; Laplace transform; Convolution; Inverse transform;

D O I：

10.1016/j.jmaa.2009.09.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the particular concepts of the h-Laplace and q-Laplace transforms. The convolution and inversion problems for these transforms are considered in some detail. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：75 / 92

页数：18

共 14 条

[1]

Abdi W. H., 1960, P NATL ACAD SCI INDI, V29, P389

[2]

[Anonymous], 1950, MATH NACHR

[3]

[Anonymous], 2001, INTRO APPL

[4]

[Anonymous], 1964, MATH Z

[5]

[Anonymous], 1962, Proc. Nat. Inst. Sci. India Part A

[6]

Bohner M., 2001, Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1

[7]

Bohner M., 2002, METHODS APPL ANAL, V9, P151, DOI [10.4310/MAA.2002.v9.n1.a6, DOI 10.4310/MAA.2002.V9.N1.A6]

[8]

Bohner M., 2003, Advances in Dynamic Equations on Time Scales, DOI DOI 10.1007/978-0-8176-8230-9

[9] The convolution on time scales [J].

Bohner, Martin ;

Guseinov, Gusein Sh. .

ABSTRACT AND APPLIED ANALYSIS, 2007,

[10] ELEMENTS OF Q-HARMONIC ANALYSIS [J].

FEINSILVER, P .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 141 (02) :509-526

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