1. Abdi, S. B., & Butris, R. N. (2024). Some result in the existence, uniqueness and stability solution of integro-differential equation. E-Jurnal Matematika, 13(2), 146–153.
2. Butris, R., & Abdi, S. (2024). Approximation of a periodic solutions for nonlinear systems of integro-differential equations. Journal of Applied Computer Science & Mathematics, 18(37), 13.
3. Butris, R. N., & Abdi, S. B. (2021). Periodic solutions of Volterra integro-differential equations with retarded argument and symmetric matrices. International Journal of Advanced Research in Engineering and Technology (IJARET), 12(2), 337–360.
4. Butris, R. N., & Abdi, S. B. (2021). Some theorems in existence, uniqueness and stability solutions of Volterra integro-differential equations of the first order. International Journal of Pure and Applied Mathematics Research, 1(1), 21–33.
5. Butris, R. N., & Abdi, S. B. (2021). Existence, uniqueness and stability solutions of Volterra integrodifferential equations with retarded argument and symmetric matrices. IJISCS (International Journal of Information System and Computer Science), 5(1), 42–51.
6. Butris, R. N., & Abdi, S. B. (2021). International Journal of Pure and Applied Mathematics Research.

My research focuses on the theoretical foundations and analytical methods of Partial Differential Equations, situated within the broader frameworks of Applied Mathematics and Real Analysis. I am particularly interested in the qualitative behavior of solutions, including questions of existence, uniqueness, regularity, and stability, as well as the development of rigorous analytical tools for studying complex mathematical phenomena. A central focus of my work is the interplay between abstract mathematical theory and its applications to problems arising in science and engineering. Through my research, I aim to deepen our theoretical understanding of differential equations while advancing analytical methods that are relevant to applied and interdisciplinary contexts.

Since 2021, I have served as an assistant Lecturer at the University of Duhok, College of Education, teaching undergraduate courses in Foundations of Mathematics and Ordinary Differential Equations. My teaching approach emphasizes rigorous mathematical reasoning, analytical thinking, and the development of problem-solving skills, with a focus on both conceptual understanding and practical application.

During the 2025–2026 academic year, I served as a Lecturer at the University of Zakho, College of Science, Department of Biology, where I taught Calculus and Biostatistics. In this role, I contributed to the integration of mathematical and statistical methods into the biological sciences curriculum, supporting students in applying quantitative approaches to scientific research and data analysis.

My teaching experience reflects a strong commitment to high-quality, student-centered education and to promoting mathematical reasoning, critical thinking, and quantitative literacy across disciplines.

Since 2022, I have supervised fourth-year undergraduate graduation projects in the Department of Mathematics, College of Basic Education, University of Duhok. My supervision focuses primarily on topics in Ordinary Differential Equations, including qualitative theory, stability analysis, and applications to mathematical modelling. Through this role, I guide students in formulating research questions, constructing and evaluating mathematical arguments, and developing the analytical skills required for independent inquiry. I am committed to fostering critical thinking, mathematical maturity, and research competence, helping students build a strong foundation for future academic and professional pursuits.

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