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Georgiev, Svetlin G., BULUT DEMİRALAY, HATİCE, Tuna, Hüseyin. (1405). A Fixed-Point Framework for the Existence and Multiplicity of Nonnegative Solutions to a Boundary Value Problem. پژوهشنامه مدیریت اجرایی, (), -. doi: 10.22080/cjms.2026.31782.1862
Svetlin G. Georgiev; HATİCE BULUT DEMİRALAY; Hüseyin Tuna. "A Fixed-Point Framework for the Existence and Multiplicity of Nonnegative Solutions to a Boundary Value Problem". پژوهشنامه مدیریت اجرایی, , , 1405, -. doi: 10.22080/cjms.2026.31782.1862
Georgiev, Svetlin G., BULUT DEMİRALAY, HATİCE, Tuna, Hüseyin. (1405). 'A Fixed-Point Framework for the Existence and Multiplicity of Nonnegative Solutions to a Boundary Value Problem', پژوهشنامه مدیریت اجرایی, (), pp. -. doi: 10.22080/cjms.2026.31782.1862
Georgiev, Svetlin G., BULUT DEMİRALAY, HATİCE, Tuna, Hüseyin. A Fixed-Point Framework for the Existence and Multiplicity of Nonnegative Solutions to a Boundary Value Problem. پژوهشنامه مدیریت اجرایی, 1405; (): -. doi: 10.22080/cjms.2026.31782.1862

A Fixed-Point Framework for the Existence and Multiplicity of Nonnegative Solutions to a Boundary Value Problem

Caspian Journal of Mathematical Sciences
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 14 شهریور 1405
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2026.31782.1862
نویسندگان
Svetlin G. Georgiev1؛ HATİCE BULUT DEMİRALAY* 2؛ Hüseyin Tuna3
1Department of Mathematics, Sorbonne University, Paris, France
2Department of Mathematics, Burdur Mehmet Akif Universty, 15030 Burdur, Turkey
3Department of Mathematics, Burdur Mehmet Akif Ersoy University, 15030 Burdur, Turkey, and Research Center of Econophysics, UNEC-Azerbaijan State University of Economics, Baku, Azerbaijan
تاریخ دریافت: 14 خرداد 1405،  تاریخ بازنگری: 26 مرداد 1405،  تاریخ پذیرش: 27 مرداد 1405 
چکیده
This study investigates a boundary value problem,
specifically focusing on the existence and multiplicity of its solu
tions. We formulate sufficient criteria to guarantee the presence of
at least one solution, as well as the occurrence of dual and triple
nonnegative solutions. By introducing a novel integral represen
tation, a dual-operator framework is developed wherein any fixed
point of their summation constitutes a solution to the problem.
The core results are derived by implementing fixed-point theorems
within a suitable functional space.
کلیدواژه‌ها
Boundary conditions؛ Time scales؛ Fixed point theorems
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