Kernel Determination Problems in Hyperbolic Integro-Differential Equations

Durdimurod K. Durdiev is the Head of the Institute of Mathematics (named after V.I. Romanovsky) in the Academy of Sciences of the Republic of Uzbekistan, Bukhara State University, Uzbekistan. He is also Professor at the Department of Differential Equations, Bukhara State University, Uzbekistan. Professor Durdiev is graduated from Novosibirsk State University, Russia, in 1990. In 1992, at this university, he defended his Ph.D. thesis in physical and mathematical sciences. He defended his doctoral dissertation at the Institute of Mathematics and Information Technologies in Tashkent, in 2010. He teaches mathematical analysis, partial differential equations, calculus of variations and optimal control, theory of inverse problems of mathematical physics and theory of integral equations.

His areas of scientific interest are in inverse problems for equations of mathematical physics, kernel determination inverse problems in integro-differential equations of hyperbolic and parabolic types, direct and inverse problems for equations with fractional derivatives. Author of 5 books, more than 120 research papers in national and international journals of repute, he has supervised 9 Ph.D. theses during his career at the Institute of Mathematics and Bukhara State University. The main scientific research of Professor Durdiev is devoted to inverse problems, namely, the problems of determining the kernels that describe the viscous properties of the medium in integro-differential equations of hyperbolic and parabolic types with a convolution-type integral. This is a young trend in the theory of inverse problems that has emerged and rapidly developed over the past three decades.

Zhanna D. Totieva is the leader scientist of the Southern Mathematical Institute of the Vladikavkaz Scientific Centre of the Russian Academy of Sciences. She is also Assistant Professor at the Department of Mathematics and Computer Sciences at the NorthOssetian State University, Russia, since 1993. Dr. Totieva is graduated from Novosibirsk State University, in 1993. In 1992, at Rostov-on Don State University, Russia, she defended her Ph.D. Her areas of scientific interest in mathematics are inverse problems for equations of mathematical physics, mathematical modelling and kernel determination inverse problems in integro-differential equations of hyperbolic types. She teaches mathematical analysis, mathematical modelling and linear algebra. Author of 2 books, more than 70 research papers in national and international journals of repute, her main scientific research is devoted to inverse problems, namely, the problems of determining the kernels that describe the viscous properties of the medium in integro-differential equations of hyperbolic types with a convolution-type integral.

杜爾迪穆羅德·K·杜爾迪耶夫是烏茲別克共和國科學院數學研究所（以V.I.羅曼諾夫命名）的所長，並且是布哈拉國立大學數學系的教授。杜爾迪耶夫教授於1990年畢業於俄羅斯新西伯利亞國立大學。1992年，他在該大學完成了物理與數學科學的博士論文，並於2010年在塔什干的數學與信息技術研究所完成了博士學位論文。他教授數學分析、偏微分方程、變分法與最優控制、數學物理的逆問題理論以及積分方程理論。

他的研究興趣領域包括數學物理方程的逆問題、超曲線和拋物線類型的積分微分方程中的核確定逆問題，以及帶有分數導數的方程的直接與逆問題。作為5本書籍的作者，他在國內外知名期刊上發表了超過120篇研究論文，並在數學研究所和布哈拉國立大學指導了9篇博士論文。杜爾迪耶夫教授的主要科學研究專注於逆問題，特別是確定描述介質粘性特性的核的問題，這些核在具有卷積型積分的超曲線和拋物線類型的積分微分方程中出現。這是一個在過去三十年中出現並迅速發展的年輕逆問題理論趨勢。

扎娜·D·托季耶娃是俄羅斯科學院弗拉季高加斯科學中心南方數學研究所的首席科學家。自1993年以來，她還擔任俄羅斯北奧塞梯國立大學數學與計算機科學系的助理教授。托季耶娃博士於1993年畢業於新西伯利亞國立大學，並於1992年在俄羅斯羅斯托夫州立大學完成了博士學位。她在數學方面的研究興趣包括數學物理方程的逆問題、數學建模以及超曲線類型的積分微分方程中的核確定逆問題。她教授數學分析、數學建模和線性代數。作為2本書籍的作者，她在國內外知名期刊上發表了超過70篇研究論文，主要的科學研究專注於逆問題，特別是確定描述介質粘性特性的核的問題，這些核在具有卷積型積分的超曲線類型的積分微分方程中出現。