Early Life and Education
Hidayat Huseynov was born on January 20, 1951, in the village of Agtakla, Gardabani District, Georgian SSR. After finishing school, he moved to Baku. In 1968, he enrolled at the Faculty of Mechanics and Mathematics of the Azerbaijan State University.
He graduated in 1973 and was accepted into the postgraduate program at the Institute of Mathematics and Mechanics of the Azerbaijan National Academy of Sciences. From 1976 to 1990, he worked at the Institute of Mathematics and Mechanics of the Azerbaijan National Academy of Sciences.
Since 1990, he worked at the Department of Applied Mathematics at Baku State University, where he taught mathematical analysis.
He was the author of more than 70 scientific articles.
He passed away on February 26, 2025, at the age of 74, and was buried in Baku.
Academic Achievements and Legacy
Hidayat M. Huseynov gained significant recognition for his discovery of the continuity of the so-called reflection coefficient for the one-dimensional Schrödinger equation. The inverse scattering problem for this equation with a real potential having a finite first moment had been well and thoroughly studied. However, the open question in this theory remained about finding the necessary and sufficient conditions that a function must satisfy in order to be considered a reflection coefficient.
Previously known conditions were cumbersome and difficult to verify, and it was assumed that the reflection coefficient at zero was continuous. In 1983, Hidayat M. Huseynov proved its continuity. This allowed for the simplification of the formulation of the conditions of the well-known theorem by Academician L.D. Faddeev, and its results were used by various mathematicians in studying scattering data behavior and in the study of nonlinear equations.
Hidayat M. Huseynov made a significant contribution to solving inverse spectral problems for higher-order ordinary differential operators and the Sturm-Liouville operator polynomial bundle. To solve high-order equations, he found a new type of integral representation, studied their kernels in detail, and derived integral equations that allow solving inverse scattering problems. To describe the properties of the kernel of the Yost solution representation, he used Riemann-Liouville fractional integration and fractional differentiation operators. Using this method, H.M. Huseynov derived various representations for the Yost solution, in particular, for the Schrödinger equation with a potential polynomially dependent on the spectral parameter.
These results laid the foundation for his doctoral thesis, which he successfully defended in 1998. Reviewing H.M. Huseynov’s doctoral thesis, Academician V.A. Marchenko praised him as a scientist “possessing outstanding talent as a mathematical analyst, capable of using a wide range of research methods to solve difficult problems.”
It should also be noted the fundamentally new results obtained by Hidayat M. Huseynov in collaboration with M.G. Gasyimov, R.T. Pashayev, I.M. Nabiyev, A.A. Nabiyev, and R.Kh. Amirov on solving inverse problems for Sturm-Liouville operators and diffusion with undivided boundary conditions, as well as for difference operators and bundles of differential operators, the description of self-adjoint extensions of even-order differential operators, transformation operators for integral-differential equations, representations for solutions of equations with discontinuous coefficients, and the theory of integrability of nonlinear mathematical physics equations.
Another area of H.M. Huseynov’s scientific work is related to the study of certain applied problems encountered in the physics of nonlinear phenomena. Together with A.Kh. Khanmamedov, he studied nonlinear Toda and Volterra chains, their soliton solutions, and the asymptotics of solutions.
Thanks to his works, H.M. Huseynov gained high scientific authority. He established a vibrant scientific school, and under his guidance, seven PhD dissertations were defended. Among his students, three are Doctors of Physical and Mathematical Sciences.
Hidayat M. Huseynov was an invited plenary speaker at many international conferences. His works published abroad earned him well-deserved recognition.
Hidayat M. Huseynov always combined his extensive scientific work with active teaching. A brilliant lecturer and talented educator, he made a significant contribution to the improvement of mathematical education at the Faculty of Applied Mathematics and Cybernetics of Baku State University.
Professor Hidayat M. Huseynov was a true patriot, a brave and principled person.
Early Life and Education
Hidayat Huseynov was born in the village of Agtakla near Tbilisi, Georgia, where he spent his childhood immersed in books and nature. His early interest in science was evident from a young age, leading him to receive a formal education in mathematics.
Moving to Baku, he entered the Mechanics and Mathematics Department of the Azerbaijan State University in 1968. In 1973, he graduated from the university and was accepted to the postgraduate program at the Institute of Mathematics and Mechanics of the Academy of Sciences of Azerbaijan.
Academic Achievements and Legacy
Hidayat Huseynov’s love for mathematics knew no bounds. He was not only a researcher, but also a teacher, educating the next generation of Azerbaijani mathematicians. Under his supervision, 12 candidate dissertations were defended, including four doctoral dissertations. He is the author of more than 70 scientific papers and has made significant contributions to spectral theory and mathematical analysis.
One of his major achievements was the discovery of the continuity of the reflection coefficient for the one-dimensional Schrödinger equation – an important result that has applications in various fields of mathematics and physics.