On integral equations of Fredholm type for a class of bounded functions on the real line

Abstract

We consider the problem of extending the notion of a Fredholm integral equation and investigate its solvability in the class of bounded functions on the real line.

Розглядається задача розширення поняття iнтегрального рiвняння Фредгольма i дослiджено його розв’язнiсть у класi обмежених функцiй на дiйснiй прямiй.

Key words: Fredholm equation, bounded functions, kernel, equicontinuous family of functions.

Full Text

Article Information

Title	On integral equations of Fredholm type for a class of bounded functions on the real line
Source	Methods Funct. Anal. Topology, Vol. 28 (2022), no. 4, 289-294
DOI	10.31392/MFAT-npu26_4.2022.01
MathSciNet	MR4685363
Milestones	Received 19/11/2021; Revised 21/04/2022
Copyright	The Author(s) 2022 (CC BY-SA)

Authors Information

Mammad Bayramoglu
Institute of Mathematics and Mechanics of NAS Azerbaijan

Ilgar Jabbarov
Departmrnt of Geometry and Algebra of Ganja State University, AZ2000, Ganja city, Azerbaijan

Sabina Ibrahimova
Departmrnt of Geometry and Algebra of Ganja State University, AZ2000, Ganja city, Azerbaijan

Citation Example

Mammad Bayramoglu, Ilgar Jabbarov, and Sabina Ibrahimova, On integral equations of Fredholm type for a class of bounded functions on the real line, Methods Funct. Anal. Topology 28 (2022), no. 4, 289-294.

BibTex

@article {MFAT1881,
    AUTHOR = {Mammad Bayramoglu and Ilgar Jabbarov and Sabina Ibrahimova},
     TITLE = {On integral equations of Fredholm type for a class of bounded functions on the real line},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {28},
      YEAR = {2022},
    NUMBER = {4},
     PAGES = {289-294},
      ISSN = {1029-3531},
  MRNUMBER = {MR4685363},
       DOI = {10.31392/MFAT-npu26_4.2022.01},
       URL = {http://mfat.imath.kiev.ua/article/?id=1881},
}

References

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