izvuzmathИзвестия высших учебных заведений. МатематикаIzvestiya Vysshikh Uchebnykh Zavedenii. Matematika0021-34462076-4626Казанский (Приволжский) федеральный университет10.26907/0021-3446-2024-10-61-76izvuzmath-123Research ArticleСтатьиСЧЕТНОЕ МНОЖЕСТВО ПОЛОЖИТЕЛЬНЫХ РЕШЕНИЙ ИТЕРАТИВНОЙ СИСТЕМЫ КРАЕВЫХ ЗАДАЧ НА ВРЕМЕННЫХ ШКАЛАХCountably many positive solutions for iterative system of boundary value problems on time scalesПрасадК. Р.PrasadK. R.

Капула Раджендра Прасад

Вишакхапатнам, 530003

Kapula Rajendra Prasad

Visakhapatnam, 530003 

 

rajendra92@rediffmail.comСраваниБ.SravaniB.

Буту Сравани

Вишакхапатнам, 530003

Butu Sravani 

Visakhapatnam, 530003 

butusravani@gmail.comСридхарН.SreedharN.

Намбури Сридхар

Вишакхапатнам, 530045

Namburi Sreedhar

Visakhapatnam, 530045 

sreedharnamburi13@gmail.comУниверситет АндхраИндияAndhra UniversityIndiaИнститут технологий и менеджмента ГандиИндияGITAM (Deemed to be University)India2024091120240106176Copyright © Прасад К.Р., Сравани Б., Сридхар Н., 20242024Прасад К.Р., Сравани Б., Сридхар Н.Prasad K.R., Sravani B., Sreedhar N.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://izvuzmath.elpub.ru/jour/article/view/123

Устанавливается существование счетного множества положительных решений для итеративной системы второго порядка двухточечных краевых задач с использованием неравенства Гёльдера и теоремы о неподвижной точке Гуо–Красносельского для оператора на конусе.

This paper establishes the existence of countably many positive solutions for a second order iterative system of two-point boundary value problems by using Holder’s inequality and Guo–Krasnoselskii’s fixed point theorem for operator on a cone.

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The authors declare that there are no conflicts of interest present.