- PII
- 10.31857/S0374064124110011-1
- DOI
- 10.31857/S0374064124110011
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 60 / Issue number 11
- Pages
- 1443-1451
- Abstract
- For a nonlinear second order ordinary differential equation, arising while mathematical modeling cryochemical synthesis of medicinal nanoforms, the behavior of its positive monotonic solutions is studied as well as the existence, uniqueness and properties of solutions of various boundary value problems with fixed and free boundaries.
- Keywords
- нелинейное уравнение монотонное решение краевая задача криохимический синтез
- Date of publication
- 19.09.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 10
References
- 1. Синтез и функциональные свойства гибридных наноформ биоактивных и лекарственных веществ / М.Я. Мельников, Л.И. Трахтенберг, В.П. Шабатин [и др.] ; под ред. М.Я. Мельникова, Л.И. Трахтенберга. — М. : Техносфера, 2019. — 383 c.
- 2. Cryochemically obtained nanoforms of antimicrobial drug substance dioxidine and their physicochemical and structural properties / T.I. Shabatina, O.I. Vernaya, V.P. Shabatin [et al.] // Crystals. — 2018. — V. 8, № 7. — P. 1-15.
- 3. Cryochemical modification, activity, and toxicity of dioxidine nanoforms / O.I. Vernaya, V.P. Shabatin, T.I. Shabatina [et al.] // Russ. J. Phys. Chem. A. — 2017. — V. 91, № 2. — P. 229-232.
- 4. New forms of old drugs: improving without changing / S. Domingos, V. Andre, S. Quaresma [et al.] // J. Pharm. Pharmacol. — 2015. — V. 67, № 6. — P. 830-846.
- 5. Sergeev, G.B. Nanochemistry / G.B. Sergeev, K.J. Klabunde. — 2nd edn. — Amsterdam : Elsevier, 2013. — 372 p.
- 6. Verma, S. Quality by design approach to understand the process of nanosuspension preparation / S. Verma, R. Gokhale, D.J. Burgess // Int. J. Pharm. — 2009. — V. 377, № 1-2. — P. 185-198.
- 7. Cryosynthesis of nanosized drug substances / Y.N. Morozov, A.Y. Utekhina, V.P. Shabatin [et al.] // Russ. J. Gen. Chem. — 2014. — V. 84, № 5. — P. 1010-1017.
- 8. Pharmaceutical nanoparticles formation and their physico-chemical and biomedical properties / T.I. Shabatina, Ya.A. Gromova, O.I. Vernaya [et al.] // Pharmaceuticals. — 2024. — V. 17, № 587. — P. 1-20.
- 9. Mathematical modeling of cryochemical formation of medicinal substances in nanoforms. The role of temperature and dimensional parameters / I.V. Astashova, G.A. Chechkin, A.V. Filinovskiy [et al.] // WSEAS Transactions on Biology and Biomedicine. — 2023. — V. 20. — P. 213-221.
- 10. Makhatar, N.A.M. Flow reversal of fully developed combined convection in a vertical channel with boundary condition of a third kind / N.A.M. Makhatar, M.M.A. Lee, N.L.M. Fauzi // J. Adv. Res. Fluid Mech. Therm. Sci. — 2022. — V. 91, № 1. — P. 56-68.
- 11. О математическом моделировании криохимического синтеза лекарственных наноформ / И.В. Асташова, Ю.Н. Морозов, А.В. Филиновский [и др.] // Дифференц. уравнения. — 2024. — Т. 60, № 6. — С. 859-861.
- 12. Astashova, I.V. On periodic solutions to a nonlinear dynamical system from one-dimensional cold plasma model / I.V. Astashova, K.N. Belikova // Funct. Differ. Equat. — 2022. — № 3-4. — P. 7-15.
- 13. Astashova, I. On the controllability problem with pointwise observation for the parabolic equation with free convection term / I. Astashova, A. Filinovskiy // WSEAS Transactions on Systems and Control. — 2019. — V. 14. — P. 224-231.
- 14. Astashova, I. On maintaining optimal temperatures in greenhouses / I. Astashova, D. Lashin, A. Filinovskiy // WSEAS Transactions on Circuits and Systems. — 2016. — V. 15, № 23. — P. 198-204.
- 15. Astashova, I. Mathematical models of epidemics in closed populations and their visualization via web application PHAPL / I. Astashova, V. Chebotaeva, A. Cherepanov // WSEAS Transactions on Biology and Biomedicine. — 2018. — V. 15, № 12. — P. 112-118.
- 16. Chechkin, G.A. On the Eringen model for nematic liquid crystals / G.A. Chechkin, T.S. Ratiu, M.S. Romanov // Comptes Rendus, Mecanique. — 2021. — V. 349, № 1. — P. 21-27.
