D. I. Borisov. Asimptotiki i otsenki sobstvennykh elementov Laplasiana s chastoi neperiodicheskoi smenoi granichnykh uslovii // Izvestiya RAN. Seriya matematicheskaya. 2003. T. 67. No. 6. C. 23-70
D. Borisov. Asymptotic behaviour of the spectrum of a waveguide with distant perturbation // Mathematical Physics, Analysis and Geometry. 2007. V. 10. No. 2. P. 155-196.
D.I. Borisov. O spektre dvumernogo periodicheskogo operatora s malym lokalizovannym vozmuscheniem // Izvestiya RAN. Seriya matematicheskaya. 2011. T. 75. # 3. S. 29-64.
D.I. Borisov, K.V. Pankrashkin. Otkrytie lakun i rasscheplenie kraev zon dlya volnovodov, soedinennykh periodicheskoi sistemoi malykh okon // Matematicheskie zametki. 2013. T. 93, # 5. S. 665-683.
D. Borisov. The spectrum of two quantum layers coupled by a window // Journal of Physics A: Mathematical and Theoretical. 2007. V. 40. No. 19. P. 5045-5066.