Application of the Method of Two-Sided Approximations for Finding Positive Axially Symmetric Solutions of Boundary Value Problems with Singular Nonlinearities
In this paper, we consider the problem of finding positive axially symmetric solutions to boundary value problems for nonlinear elliptic differential equations using the method of two-sided approximations. The first boundary value problem, or Dirichlet problem, is solved. The nonlinearity involved i...
Saved in:
| Date: | 2025 |
|---|---|
| Main Authors: | Пархоменко, Владислав, Сидоров, Максим |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Кам'янець-Подільський національний університет імені Івана Огієнка
2025
|
| Online Access: | http://mcm-math.kpnu.edu.ua/article/view/332473 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Mathematical and computer modelling. Series: Physical and mathematical sciences |
Institution
Mathematical and computer modelling. Series: Physical and mathematical sciencesSimilar Items
Application of the Method of Two-Sided Approximations for Finding Positive Axially Symmetric Solutions of Boundary Value Problems with Monotone Nonlinearities
by: Пархоменко, Владислав, et al.
Published: (2024)
by: Пархоменко, Владислав, et al.
Published: (2024)
Analysis By the Method of Two-Sided Approximations of Positive Axially Symmetric Solutions of the First Boundary Value Problem for the Helmholtz Equation with a Monotone Power Nonlinearity
by: Пархоменко, Владислав, et al.
Published: (2025)
by: Пархоменко, Владислав, et al.
Published: (2025)
Analysis by the Method of Two-Sided Approximations of Positive Axially Symmetric Solutions of the First Boundary Value Problem for the Helmholtz Equation with a Singular Power Nonlinearity
by: Пархоменко, Владислав
Published: (2026)
by: Пархоменко, Владислав
Published: (2026)
The Application of the Green-Rvachev Quasifunction Method for Constructing Two-Sided Approximations to the Solution of the Dirichlet Problem for a Nonlinear Heat Equation
by: Сидоров, Максим Вікторович
Published: (2018)
by: Сидоров, Максим Вікторович
Published: (2018)
Two-Sided Approximation of Solutions of Boundary-Value Problems
by: Mentynskyi, S. M., et al.
Published: (2005)
by: Mentynskyi, S. M., et al.
Published: (2005)
Axially symmetric flow with free boundary
by: Minenko, A. S., et al.
Published: (1995)
by: Minenko, A. S., et al.
Published: (1995)
One-Sided Nonlocal Boundary-Value Problem for Singular Parabolic Equations
by: Pukalskyi, I. D., et al.
Published: (2001)
by: Pukalskyi, I. D., et al.
Published: (2001)
Positive spaces of boundary values and sectorial expansions of nonnegative symmetric operator
by: Arlinsky, Yu. M., et al.
Published: (1987)
by: Arlinsky, Yu. M., et al.
Published: (1987)
Axially symmetric potentially rotational flow with free boundary
by: A. I. Shevchenko, et al.
Published: (2014)
by: A. I. Shevchenko, et al.
Published: (2014)
Application of the Method of Two-Sided Approximations to Solving the First Boundary Value Problem for a One-Dimensional Nonlinear Heat Conduction Equation
by: Василишин, Костянтин
Published: (2024)
by: Василишин, Костянтин
Published: (2024)
A positive solution of singular impulsive differential equations with nonlinear boundary conditions
by: Weibing Wang, et al.
Published: (2014)
by: Weibing Wang, et al.
Published: (2014)
Finding approximate solution of linear boundary value problems with delay using spline functions
by: A. B. Dorosh, et al.
Published: (2014)
by: A. B. Dorosh, et al.
Published: (2014)
Approximate stabilization for a nonlinear parabolic boundary-value problem
by: Kapustyan, O. A., et al.
Published: (2011)
by: Kapustyan, O. A., et al.
Published: (2011)
Two-Sided Approximations Method for a Dirichlet Problem for the Nonlinear Heat Equation
by: M. V. Sydorov
Published: (2017)
by: M. V. Sydorov
Published: (2017)
On the approximate solution of nonlinear boundary-value problems by the Newton – Kantorovich method
by: A. A. Bojchuk, et al.
Published: (2020)
by: A. A. Bojchuk, et al.
Published: (2020)
AXIALLY SYMMETRIC MODES IN AN OPEN RESONATOR
by: Kuzmychov, I. K., et al.
Published: (2025)
by: Kuzmychov, I. K., et al.
Published: (2025)
Analysis of perturbations of singular values in concatenated matrices
by: Shamrai, M., et al.
Published: (2026)
by: Shamrai, M., et al.
Published: (2026)
Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations
by: Bazalii, B. V., et al.
Published: (1993)
by: Bazalii, B. V., et al.
Published: (1993)
Two functional boundary-value problems with singularities in phase variables
by: Staněk, S.
Published: (2002)
by: Staněk, S.
Published: (2002)
Elliptic boundary-value problem in a two-sided improved scale of spaces
by: Mikhailets, V. A., et al.
Published: (2008)
by: Mikhailets, V. A., et al.
Published: (2008)
Mathematical model of the interaction of the symmetric top with axially-symmetric external field
by: S. I. Zub, et al.
Published: (2017)
by: S. I. Zub, et al.
Published: (2017)
On solvability of singular periodic boundary-value problems
by: Staněk, S.
Published: (2001)
by: Staněk, S.
Published: (2001)
On the approximate solution of weakly nonlinear boundary-value problems by the Newton – Kantorovich method
by: A. A. Boichuk, et al.
Published: (2020)
by: A. A. Boichuk, et al.
Published: (2020)
Spaces of boundary values and dissipative extensions of symmetric relations
by: Yu. I. Oliiar, et al.
Published: (2013)
by: Yu. I. Oliiar, et al.
Published: (2013)
AXIALLY-SYMMETRIC RADIATION FIELD OF CONICAL MONOPOLE
by: Kuryliak, D. B., et al.
Published: (2013)
by: Kuryliak, D. B., et al.
Published: (2013)
Axially-Symmetric Radiation Field of Conical Monopole
by: D. B. Kuriljak, et al.
Published: (2013)
by: D. B. Kuriljak, et al.
Published: (2013)
Optimization of axially symmetric drift tube geometry
by: Demchenko, P.O., et al.
Published: (2001)
by: Demchenko, P.O., et al.
Published: (2001)
Solvability of the First Boundary-Value Problem for the Heat-Conduction Equation with Nonlinear Sources and Strong Power Singularities
by: Yu. Chmyr
Published: (2013)
by: Yu. Chmyr
Published: (2013)
Solvability of the First Boundary-Value Problem for the Heat-Conduction Equation with Nonlinear Sources and Strong Power Singularities
by: Chmyr, O. Yu., et al.
Published: (2013)
by: Chmyr, O. Yu., et al.
Published: (2013)
Investigation of behaviour of approximate solution of a nonlinear boundary value problem in the instability area
by: I. Mukha
Published: (2016)
by: I. Mukha
Published: (2016)
On Hilbert boundary value problem for Beltrami equations with singularities
by: V. Gutlyanskii, et al.
Published: (2020)
by: V. Gutlyanskii, et al.
Published: (2020)
On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems
by: Anoshchenko, O., et al.
Published: (2009)
by: Anoshchenko, O., et al.
Published: (2009)
Cascade of Axial-Symmetric Inhomogeneous Resonators with Impedance Sidewalls
by: Kazanskiy, V. B., et al.
Published: (2013)
by: Kazanskiy, V. B., et al.
Published: (2013)
Axially symmetric vibrations of a complete conical shell
by: V. A. Trotsenko, et al.
Published: (2020)
by: V. A. Trotsenko, et al.
Published: (2020)
Open ended axially symmetric systems. Results and perspectives
by: Burdakov, A.V., et al.
Published: (2006)
by: Burdakov, A.V., et al.
Published: (2006)
On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes
by: Gudapati, Nishanth
Published: (2025)
by: Gudapati, Nishanth
Published: (2025)
Modeling Non-Symmetrical Vertical Vibrator of Finite Thickness upon Axially Symmetric Excitation
by: Kochin, V. N.
Published: (2013)
by: Kochin, V. N.
Published: (2013)
Singularities of the structure of two-sided ideals of a domain of elementary divisors
by: Bilyavs’ka, S. I., et al.
Published: (2010)
by: Bilyavs’ka, S. I., et al.
Published: (2010)
Degenerate nonlinear boundary-value problems
by: Boichuk, О. A., et al.
Published: (2009)
by: Boichuk, О. A., et al.
Published: (2009)
On asymptotic approximation of a solution of a boundary-value problem for a nonlinear nonautonomous equation
by: Sokil, B. I., et al.
Published: (1997)
by: Sokil, B. I., et al.
Published: (1997)
Similar Items
-
Application of the Method of Two-Sided Approximations for Finding Positive Axially Symmetric Solutions of Boundary Value Problems with Monotone Nonlinearities
by: Пархоменко, Владислав, et al.
Published: (2024) -
Analysis By the Method of Two-Sided Approximations of Positive Axially Symmetric Solutions of the First Boundary Value Problem for the Helmholtz Equation with a Monotone Power Nonlinearity
by: Пархоменко, Владислав, et al.
Published: (2025) -
Analysis by the Method of Two-Sided Approximations of Positive Axially Symmetric Solutions of the First Boundary Value Problem for the Helmholtz Equation with a Singular Power Nonlinearity
by: Пархоменко, Владислав
Published: (2026) -
The Application of the Green-Rvachev Quasifunction Method for Constructing Two-Sided Approximations to the Solution of the Dirichlet Problem for a Nonlinear Heat Equation
by: Сидоров, Максим Вікторович
Published: (2018) -
Two-Sided Approximation of Solutions of Boundary-Value Problems
by: Mentynskyi, S. M., et al.
Published: (2005)