A survey on measures of noncompactness with some applications in infinite systems of differential equations

被引：7
|
作者：
Mursaleen, Mohammad [1 ,2 ]
Rakocevic, Vladimir [3 ]
机构：
[1] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[2] Al Qaryah St 1, Aligarh, Uttar Pradesh, India
[3] Univ Nis, Dept Math, Fac Sci & Math, Vis Egradska 33, Nish 18000, Serbia
来源：
AEQUATIONES MATHEMATICAE | 2022年 / 96卷 / 03期
关键词：
Measure of non-compactness (MNC); Condensing operator; Fixed point; Differential equations; THEOREM; SOLVABILITY;
D O I：
10.1007/s00010-021-00848-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this chapter we present a brief survey of theory of measures of noncompactness and discuss some fixed point theorems of Darbo's type. We describe some applications in the solvability of infinite systems of differential equations in classical sequence spaces.
引用
收藏
页码：489 / 514
页数：26
相关论文
共 50 条
  • [1] A survey on measures of noncompactness with some applications in infinite systems of differential equations
    Mohammad Mursaleen
    Vladimir Rakočević
    [J]. Aequationes mathematicae, 2022, 96 : 489 - 514
  • [2] Applications of Measures of Noncompactness to Infinite System of Fractional Differential Equations
    Mursaleen, Mohammad
    Bilalov, Bilal
    Rizvi, Syed M. H.
    [J]. FILOMAT, 2017, 31 (11) : 3421 - 3432
  • [3] Applications of measures of noncompactness to the infinite system of differential equations in lp spaces
    Mursaleen, M.
    Mohiuddine, S. A.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2111 - 2115
  • [4] Application of Measure of Noncompactness to Infinite Systems of Differential Equations
    Mursaleen, M.
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2013, 56 (02): : 388 - 394
  • [5] The Study of the Solvability of Infinite Systems of Integral Equations via Measures of Noncompactness
    Banas, Jozef
    Nalepa, Rafal
    Rzepka, Beata
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2022, 43 (08) : 961 - 986
  • [6] Measures of noncompactness in the space of regulated functions R(J, R∞) and its application to some nonlinear infinite systems of fractional differential equations
    Mehravaran, Hamid
    Kayvanloo, Hojjatollah Amiri
    Allahyari, Reza
    [J]. MATHEMATICAL SCIENCES, 2023, 17 (03) : 223 - 232
  • [7] Application of measure of noncompactness to infinite systems of differential equations in lp spaces
    Malik, Ishfaq Ahmad
    Jalal, Tanweer
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2020, 69 (02) : 381 - 392
  • [8] Measures of noncompactness and infinite systems of integral equations of Urysohn type in L∞(G)
    Banaei, Shahram
    Parvaneh, Vahid
    Mursaleen, Mohammad
    [J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2021, 37 (03) : 407 - 416
  • [9] A New Survey of Measures of Noncompactness and Their Applications
    Gabeleh, Moosa
    Malkowsky, Eberhard
    Mursaleen, Mohammad
    Rakocevic, Vladimir
    [J]. AXIOMS, 2022, 11 (06)
  • [10] Results on controllability of Hilfer fractional differential equations with infinite delay via measures of noncompactness
    Kavitha, K.
    Vijayakumar, V.
    Udhayakumar, R.
    Ravichandran, C.
    [J]. ASIAN JOURNAL OF CONTROL, 2022, 24 (03) : 1406 - 1415
12345