Integration on time scales

被引：263
|
作者：
Guseinov, GS [1 ]
机构：
[1] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 285卷 / 01期
关键词：
time scales; delta and nabla derivatives; delta and nabla integrals;
D O I：
10.1016/S0022-247X(03)00361-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the process of Riemann and Lebesgue integration oil time scales. The relationship of the Riemann and Lebesgue integrals is considered and a criterion for Riemann integrability is established. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：107 / 127
页数：21
相关论文
共 50 条
  • [1] Multiple integration on time scales
    Bohner, M
    Guseinov, GS
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2005, 14 (3-4): : 579 - 606
  • [2] On the Riemann integration on time scales
    Guseinov, GS
    Kaymakçalan, B
    [J]. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON DIFFERENCE EQUATIONS: NEW PROGRESS IN DIFFERENCE EQUATIONS, 2004, : 289 - 298
  • [3] Is the time ripe for integration of scales?
    Amit, DJ
    [J]. BEHAVIORAL AND BRAIN SCIENCES, 1996, 19 (02) : 295 - &
  • [4] PRODUCT INTEGRATION ON TIME SCALES
    Slavik, Antonin
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2010, 19 (01): : 97 - 112
  • [5] Multiple Lebesgue integration on time scales
    Martin Bohner
    Gusein Sh Guseinov
    [J]. Advances in Difference Equations, 2006
  • [6] Multiple Lebesgue integration on time scales
    Bohner, Martin
    Guseinov, Gusein Sh.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2006, 2006 (1)
  • [7] Integration of modelling at various length and time scales
    McGrother, S
    Goldbeck-Wood, G
    Lam, YM
    [J]. COMPUTATIONAL MATERIALS SCIENCE: FROM BASIC PRINCIPLES TO MATERIAL PROPERTIES, 2004, : 223 - 233
  • [8] TIME INTEGRATION GRAY SCALES FOR FERROELECTRIC LCDS
    REYNAERTS, C
    VANCAMPENHOUT, J
    CUYPERS, F
    [J]. FERROELECTRICS, 1991, 113 (1-4) : 419 - 437
  • [9] Basics of Riemann delta and nabla integration on time scales
    Guseinov, GS
    Kaymakçalan, B
    [J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (11) : 1001 - 1017
  • [10] Integration of functions rd-continuous on time scales
    Pokornyi, Yu. V.
    Bakhtina, Zh. I.
    [J]. DOKLADY MATHEMATICS, 2011, 83 (01) : 104 - 106
12345