Existence of a bounded variation solution of a nonlinear integral equation in L1(R+)

El-Sayed, Wagdy G.; El-Rahman, Ragab O. Abd; El-Salam, Sheren A. Abd; Shahawy, Asmaa El

doi:10.24297/jam.v21i.9317

Cited by 3 publications

(2 citation statements)

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“…Theorem 2. 4 ([4], [25]) Assume that X ⊂ L 1 (I) is of locally generalized bounded variation, then Conv X (convex hull of X) and X are of the same type.…”

Section: Theorem 23 If Q Is Nonempty Bounded Closed and Convex Subset...mentioning

confidence: 99%

On the solvability of a functional Volterra integral equation

El-Sayed

El-Rahman

El-Salam

et al. 2022

JAM

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“…Theorem 2. 4 ([4], [25]) Assume that X ⊂ L 1 (I) is of locally generalized bounded variation, then Conv X (convex hull of X) and X are of the same type.…”

Section: Theorem 23 If Q Is Nonempty Bounded Closed and Convex Subset...mentioning

confidence: 99%

On the solvability of a functional Volterra integral equation

El-Sayed

El-Rahman

El-Salam

et al. 2022

JAM

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“…Many previous studies have used anatomy and augmented reality learning video media. However, previous research has focused more on pure anatomy videos using various technologies such as augmented reality [8], lecture-based anatomy videos [9], and demonstration videos. The main difference between this study and previous research is the development of video technology for learning anatomy, especially the reproductive system, which is integrated with Islamic values and compared with augmented reality.…”

Section: Introductionmentioning

confidence: 99%

Anatomy Learning Technology Innovation Based on the Integration of Islamic Values on Student Learning Outcomes and Characters

Anita¹,

Asnindari²

2023

Advances in Health Sciences Research

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The pandemic era impacted the decline in learning outcomes and the character of Islamic Kemuhammadiyahan, which was the hallmark of the UNISA Nursing Study program. Knowledge transfer and character-building experience many problems with online lecture meetings. This study aimed to determine the effectiveness of anatomy learning media innovation based on integrating Islamic values into the learning outcomes of anatomy and the formation of Islamic character. The research design used a mixed method: explanatory sequential strategies, starting with a quantitative approach and then a qualitative approach to obtain comprehensive results. The sample used is 227 students. The instrument in this research is the innovation of reproductive anatomy learning media that integrates Islamic values, questionnaires, and interview sheets. The results showed that the provision of pre-posttest material using various learning media improved student learning outcomes and Islamic character (p < 0.05). However, there was no significant difference between learning outcomes and student characteristics when compared between various learning media (p > 0.05). There are 12 themes: obedience to God, brave and confident, rational, critical, creativity and innovation ability, trustworthiness, love of science, working hard and persevering, thinking positively, anticipatory, dynamic, and productive. Learning innovations that integrate Islamic values must be developed to achieve students' hard and soft skills.

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A Qualitative Study of Solutions of Nonlinear Volterra Integral Equation in the Plane, from the Perspective of Shiba Bounded Variation

Pérez,

Rodríguez,

Ereú

2024

International Journal of Mathematics and Mathematical Sciences

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Existence of a bounded variation solution of a nonlinear integral equation in L1(R+)

Abstract: In this paper we study the existence of a unique solution of a nonlinear integral equation in the space of bounded variation on an unbounded interval by using measure of noncompactness and Darbo fixed point theorem.

Cited by 3 publications

References 8 publications

On the solvability of a functional Volterra integral equation

On the solvability of a functional Volterra integral equation

Anatomy Learning Technology Innovation Based on the Integration of Islamic Values on Student Learning Outcomes and Characters

A Qualitative Study of Solutions of Nonlinear Volterra Integral Equation in the Plane, from the Perspective of Shiba Bounded Variation

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