CONVOLUTION TYPE OPERATORS WITH POTENTIAL: ESSENTIAL AND INFINITE DISCRETE SPECTRUM ArticleBorisov Denis Ivanovich, Piatnitski Andrey L., Zhizhina Elena A.Mathematical Methods in the Applied Sciences. Том 48. 2025. С. 8687-8695
SPECTRAL ASYMPTOTICS FOR SCHRÖDINGER OPERATOR PERTURBED BY TRANSLATION OPERATOR ArticleBorisov Denis Ivanovich, Polyakov Dmitry M.Izvestiya Mathematics. Том 89. 2025. С. 442-460
ОБ ОПЕРАТОРНЫХ ОЦЕНКАХ ДЛЯ ЭЛЛИПТИЧЕСКИХ УРАВНЕНИЙ В МНОГОМЕРНЫХ ОБЛАСТЯХ С СИЛЬНО ИСКРИВЛЕННОЙ ГРАНИЦЕЙ ArticleБорисов Д.И., Сулейманов Р.Р.Математический сборник. Том 216. 2025. С. 30-60
OPERATOR ESTIMATES FOR ELLIPTIC EQUATIONS IN MULTIDIMENSIONAL DOMAINS WITH STRONGLY CURVED BOUNDARIES ArticleBorisov D.I., Suleimanov R.R.Sbornik: Mathematics. Том 216. 2025. С. 25-53
UNIFORM SPECTRAL ASYMPTOTICS FOR THE SCHRÖDINGER OPERATOR WITH TRANSLATION IN FREE TERM AND PERIODIC BOUNDARY CONDITIONS ArticleBorisov D.I., Polyakov D.M.Russian Journal of Mathematical Physics. Том 32. 2025. С. 434-450
RESONANCES AND SCATTERING BY A PERIODIC STRUCTURE ArticleBorisov D.I., Fedotov A.A.Russian Journal of Mathematical Physics. Том 32. 2025. С. 245-250
ОБ ОПЕРАТОРНЫХ ОЦЕНКАХ ДЛЯ ЭЛЛИПТИЧЕСКИХ УРАВНЕНИЙ В ДВУМЕРНЫХ ОБЛАСТЯХ С БЫСТРО ОСЦИЛЛИРУЮЩЕЙ ГРАНИЦЕЙ И ЧАСТОЙ СМЕНОЙ КРАЕВЫХ УСЛОВИЙ ArticleБорисов Д.И., Сулейманов Р.Р.Математический сборник. Том 216. 2025. С. 22-40
THE EFFECT OF NONLINEARITY ON THE EFFICIENCY OF A THERMAL RECTIFIER IN THE FORM OF A JUNCTION OF TWO CHAINS ArticleDmitriev Sergey V., Xiong Daxing, Borisov Denis Ivanovich, Velárde Manuel GarcíaEuropean Physical Journal: Special Topics. 2025.
ON PERTURBATION OF THRESHOLDS IN ESSENTIAL SPECTRUM UNDER COEXISTENCE OF VIRTUAL LEVEL AND SPECTRAL SINGULARITY ArticleBorisov D.I., Zezyulin D.A.Russian Journal of Mathematical Physics. Том 31. 2024. С. 60-78
ON THE POINT SPECTRUM OF A NON-SELF-ADJOINT QUASIPERIODIC OPERATOR ArticleBorisov D.I., Fedotov A.A.Russian Journal of Mathematical Physics. Том 31. 2024. С. 389-406
SPECTRAL ASYMPTOTICS FOR NONLOCAL ONE-DIMENSIONAL SCHRÖDINGER OPERATOR WITH NEUMANN CONDITION AND TRANSLATION IN FREE TERM ArticleBorisov D.I., Polyakov D.M.Lobachevskii Journal of Mathematics. Том 45. 2024. С. 6476-6482