Solving delay integro-differential inclusions with applications

被引：1
作者：
Alshehri, Maryam G. [1 ]
Aydi, Hassen [2 ,3 ]
Hammad, Hasanen A. [4 ,5 ,6 ]
机构：
[1] Univ Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia
[2] Univ Sousse, Inst Super Informat & Tech Commun, H Sousse 4000, Tunisia
[3] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Ga Rankuwa, South Africa
[4] Qassim Univ, Coll Sci, Dept Math, Buraydah 52571, Saudi Arabia
[5] Saveetha Univ, SIMATS, Saveetha Sch Engn, Dept Math, Chennai 602105, India
[6] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 06期
关键词：
fixed point technique; semilinear integro-differential inclusion; mild solution; partial integro-differential inclusion; FUNCTIONAL-DIFFERENTIAL EQUATIONS; STATE-DEPENDENT DELAY; PERIODIC-SOLUTIONS; RESOLVENT OPERATORS; INTEGRAL-EQUATIONS; STABILITY; EXISTENCE; MAPPINGS;
D O I：
10.3934/math.2024790
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work primarily delves into three key areas: the presence of mild solutions, exploration of the topological and geometrical makeup of solution sets, and the continuous dependency of solutions on a second-order semilinear integro-differential inclusion. The Bohnenblust-Karlin fixedpoint method has been integrated with Grimmer's theory of resolvent operators. Ultimately, the study delves into a mild solution for a partial integro-differential inclusion to showcase the achieved outcomes.
引用
收藏
页码：16313 / 16334
页数：22
相关论文
共 53 条
  • [1] Acyclicity of solution sets to functional inclusions
    Andres, J
    Gabor, G
    Görniewicz, L
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 49 (05) : 671 - 688
  • [2] Aronszajn N., 1942, Ann. Math, V43, P730, DOI [10.2307/1968963, DOI 10.2307/1968963]
  • [3] Aubin J-P., 2009, Set-valued Analysis (Modern Birkhuser Classics), DOI DOI 10.1007/978-0-8176-4848-0
  • [4] Bainov D., 1992, Integral Inequalities and Applications, DOI [10.1007/978-94-015-8034-2, DOI 10.1007/978-94-015-8034-2]
  • [5] Periodic solutions for differential equations with state-dependent delay and positive feedback
    Bartha, M
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 53 (06) : 839 - 857
  • [6] CONTROLLABILITY RESULTS FOR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
    Bensalem, Abdelhamid
    Salim, Abdelkrim
    Benchohra, Mouffak
    Nieto, Juan J.
    [J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2023, 12 (06): : 1559 - 1576
  • [7] TOPOLOGICAL DEGREE AND NONLINEAR MAPPINGS OF ANALYTIC TYPE IN BANACH SPACES
    BROWDER, FE
    GUPTA, CP
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1969, 26 (02) : 390 - &
  • [8] Bucur A., 2017, SCI BULL, V22, P13, DOI DOI 10.1515/BSAFT-2017-0002
  • [9] THE EFFECTS OF STATE-DEPENDENT TIME-DELAY ON A STAGE-STRUCTURED POPULATION-GROWTH MODEL
    CAO, YL
    FAN, JP
    GARD, TC
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (02) : 95 - 105
  • [10] Chouhan S., 2022, Res. Highlights Math. Comput. Sci, VVolume 1, P119, DOI DOI 10.9734/BPI/RHMCS/V1/3160C
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