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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Tunc, Osman, Graef, J. R., Tunc, Cemil. (1403). On Unique Solutions of Integral Equations by Progressive Contractions. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2024.59214.2516
Osman Tunc; J. R. Graef; Cemil Tunc. "On Unique Solutions of Integral Equations by Progressive Contractions". سامانه مدیریت نشریات علمی, , , 1403, -. doi: 10.22034/cmde.2024.59214.2516
Tunc, Osman, Graef, J. R., Tunc, Cemil. (1403). 'On Unique Solutions of Integral Equations by Progressive Contractions', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2024.59214.2516
Tunc, Osman, Graef, J. R., Tunc, Cemil. On Unique Solutions of Integral Equations by Progressive Contractions. سامانه مدیریت نشریات علمی, 1403; (): -. doi: 10.22034/cmde.2024.59214.2516

On Unique Solutions of Integral Equations by Progressive Contractions

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 12 اردیبهشت 1403    اصل مقاله (987.03 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.59214.2516
نویسندگان
Osman Tunc* 1؛ J. R. Graef2؛ Cemil Tunc3
1Department of Computer Programming, Baskale Vocational School, Van Yuzuncu Yil University, 65080, Campus, Van, Turkey.
2Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA.
3Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Van, Turkey.
چکیده
The authors consider Hammerstein type integral equations for the purpose of obtaining new results on the uniqueness of solutions on an infinite interval. The approach used in the proofs is based on the technique called progressive contractions due to T. A. Burton. Here, the authors apply Burton's method to a general Hammerstein type integral equation that also yields existence of solutions. In much of the existing literature, investigators prove uniqueness of solutions of integral equations by applying some type of fixed point theorem. This can prove to be a difficult process that sometimes involves patching together solutions on short intervals and perhaps involving translations. In this paper, using progressive contractions in three simple short steps, each one being an elementary contraction mapping on a short interval, the authors improve the technique due to Burton by considering a general Hammerstein type integral equation, and they obtain the uniqueness of solutions on an infinite interval.
کلیدواژه‌ها
Existence؛ uniqueness؛ Hammerstein integral equation؛ fixed point؛ progressive contractions
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تعداد مشاهده مقاله: 22
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