Henstock-Kurzweil-Pettis integral and weak topologies in nonlinear integral equations on time scales

被引：5
|
作者：
Satco, Bianca-Renata [1 ]
Turcu, Corneliu-Octavian [1 ]
机构：
[1] Stefan Cel Mare Univ, Fac Elect Engn & Comp Sci, Suceava, Romania
来源：
MATHEMATICA SLOVACA | 2013年 / 63卷 / 06期
关键词：
Henstock-Kurzweil-Pettis integral; nonlinear integral equation; time scales; fixed point theorem; DIFFERENTIAL-EQUATIONS; BANACH-SPACES; LEBESGUE; DELTA;
D O I：
10.2478/s12175-013-0175-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The goal of the present work is to give an existence result for a nonlinear integral equation on time scales by considering the Banach space endowed with its weak topology. More precisely, we obtain the existence of weakly continuous solutions for an integral equation that has on the right hand side the sum of two operators, one of them continuous while the other one satisfies a partial continuity condition and some integrability (in a nonabsolute sense) assumptions. (C) 2013 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：1347 / 1360
页数：14
相关论文
共 50 条
  • [31] Qualitative analysis of nonlinear Volterra integral equations on time scales using resolvent and Lyapunov functionals
    Adivar, Murat
    Raffoul, Youssef N.
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 258 - 266
  • [32] Reduction of Chaplygin equations for nonholonomic systems on time scales by means of the cyclic integral and energy integral
    Shi-Xin, Jin
    Yi, Zhang
    CHINESE JOURNAL OF PHYSICS, 2018, 56 (06) : 2731 - 2740
  • [33] Reconstruction of nonlinear integral inequalities associated with time scales calculus
    Zareen A. Khan
    Advances in Difference Equations, 2020
  • [34] Reconstruction of nonlinear integral inequalities associated with time scales calculus
    Khan, Zareen A.
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [35] The Diamond Integral on Time Scales
    Artur M. C. Brito da Cruz
    Natália Martins
    Delfim F. M. Torres
    Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 1453 - 1462
  • [36] The Diamond Integral on Time Scales
    Brito da Cruz, Artur M. C.
    Martins, Natalia
    Torres, Delfim F. M.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (04) : 1453 - 1462
  • [37] Linear Integral Equations with Discontinuous Kernels and the Representation of Operators on Regulated Functions on Time Scales
    Barbanti, Luciano
    Damasceno, Berenice Camargo
    Silva, Geraldo Nunes
    Anderson Braz Federson, Marcia Cristina
    DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS, 2013, 47 : 275 - 282
  • [38] PARAMETER-DEPENDENT INTEGRAL ON TIME SCALES
    Zhang, Chunmei
    Wang, Ke
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2014, 45 (02) : 139 - 163
  • [39] Constant-sign solutions for a system of integral equations on time scales
    Wong, PJY
    Soh, YC
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (2-3) : 271 - 280
  • [40] Controllability of nonlinear integral equations of Chandrasekhar type
    Tiziana Cardinali
    Serena Matucci
    Paola Rubbioni
    Journal of Fixed Point Theory and Applications, 2022, 24
12345