Cover Image

Small parameter method in nonlinear reaction-diffusion systems: conditions of application, construction of solutions, bifurcation analysis

Saved in:

Bibliographic Details
Date:	2014
Main Authors:	V. V. Hafiichuk, B. Y. Datsko, Z. I. Vasiunyk
Format:	Article
Language:	English
Published:	2014
Series:	Mathematical methods and physicomechanical fields
Online Access:	http://jnas.nbuv.gov.ua/article/UJRN-0000557589
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Library portal of National Academy of Sciences of Ukraine \| LibNAS

Institution

Library portal of National Academy of Sciences of Ukraine | LibNAS

Similar Items

Wawelet transform application for classification of solutions of reaction-diffusion systems
by: Z. I. Vasiunyk, et al.
Published: (2017)

Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions
by: Umezu, K.
Published: (2000)

Bifurcations of auto-oscillations for parabolic systems with delay in the argument and small diffusion
by: I. I. Klevchuk
Published: (2016)

Conditional Symmetry of a System of Nonlinear Reaction-Diffusion Equations
by: T. A. Barannyk
Published: (2015)

Conditional Symmetry of a System of Nonlinear Reaction-Diffusion Equations
by: Barannyk, T. A., et al.
Published: (2015)

Numerical bifurcation of a delayed diffusive hematopoiesis model with Dirichlet boundary condition
by: X. Y. Liu, et al.
Published: (2024)

Conditional symmetries and exact solutions of the reaction-diffusion system
by: M. I. Sierov, et al.
Published: (2016)

On the dynamics of solutions for autonomous reaction-diffusion equation in Rⁿ with multivalued nonlinearity
by: Stanzhitsky, A.N., et al.
Published: (2009)

A survey on constructing Lyapunov functions for reaction-diffusion systems with delay and their application in biology
by: F. Najm, et al.
Published: (2023)

Attractors of reaction-diffusion equations with nonmonotone nonlinearity
by: Valero, J.
Published: (2000)

Numerical bifurcation of a delayed diffusive hematopoiesis model with Dirichlet boundary condition
by: Liu, Xueyang, et al.
Published: (2024)

Existence and nonexistence of solutions of reaction-diffusion equation with Robin boundary condition
by: E. Öztürk, et al.
Published: (2016)

Existence and nonexistence of solutions of reaction-diffusion equation with Robin boundary condition
by: Öztürk, E., et al.
Published: (2016)

Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
by: Nikitin, A.G.
Published: (2007)

Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
by: Nikitin, A. G., et al.
Published: (2007)

Bifurcation conditions for solutions of the Lyapunov equation in a Hilbert space
by: Ye. V. Panasenko, et al.
Published: (2017)

Bifurcations of coupled nonlinear oscillators with similar kinematics
by: N. V. Nikitina, et al.
Published: (2020)

The classification of the Galilei-invariant systems of nonlinear reaction-diffusion equations
by: T. A. Barannyk
Published: (2015)

Nonclassical symmetries of a system of nonlinear reaction-diffusion equations
by: T. A. Barannyk
Published: (2017)

Application of one constructive method for the construction of non-Lie solutions of nonlinear evolution equations
by: Cherniga, R. M., et al.
Published: (1997)

Construction of Asymptotic Solutions of Linear Systems of Differential Equations with Two Small Parameters
by: Yakovets, V. P., et al.
Published: (2003)

On Exact Solutions of Nonlinear Diffusion Equations
by: Barannyk, A. F., et al.
Published: (2005)

On periodic motion and bifurcations of three-dimensional nonlinear systems
by: A. A. Martynjuk, et al.
Published: (2014)

Construction of optimal control bifurcation in Hodgkin-Huxley model based on the principle of maximum
by: V. P. Martseniuk, et al.
Published: (2013)

Classical solutions of time-fractional quasilinear reaction-diffusion systems
by: Krasnoschok, M., et al.
Published: (2025)

Application of ateb-functions to the construction of solutions of some nonlinear partial differential equations
by: Sokil, B. I., et al.
Published: (1996)

On the application of Ateb-functions to the construction of an asymptotic solution of the perturbed nonlinear Klein-Gordon equation
by: Mitropolskiy, Yu. A., et al.
Published: (1998)

On the application of Ateb-functions to the construction of a solution of a nonlinear Klein-Gordon equation
by: Sokil, B. I., et al.
Published: (1997)

Bifurcation of the state of equilibrium in the system of nonlinear parabolic equations with transformed argument
by: Klevchuk, I. I., et al.
Published: (1999)

Bifurcation conditions for the solutions of weakly perturbed boundary-value problems for operator equations in Banach spaces
by: V. F. Zhuravlev
Published: (2018)

Bifurcation conditions for the solutions of weakly perturbed boundary-value problems for operator equations in Banach spaces
by: Zhuravlev, V. F., et al.
Published: (2018)

Nonlinear diffusion in the liquid solution of diethyl ether with chloroform
by: A. M. Kutsyk, et al.
Published: (2016)

Nonlinear diffusion in the liquid solution of diethyl ether with chloroform
by: A. M. Kutsyk, et al.
Published: (2016)

Lie Symmetries, Q-Conditional Symmetries, and Exact Solutions of Nonlinear Systems of Diffusion-Convection Equations
by: Serov, N. I., et al.
Published: (2003)

A modified projection-iterative method for solution of a singular integral equation with parameters and small nonlinearity
by: Polishchuk, О. B., et al.
Published: (1999)

Bifurcation of solutions of a linear Fredholm boundary-value problem
by: Chuiko, S. M., et al.
Published: (2007)

In bifurcated solution of the Cauchy problem for one class of parabolic systems
by: Lenуuk, M. P., et al.
Published: (1970)

Semilinear parabolic equations with superlinear reaction terms, and application to some convection-diffusion problems
by: Dall'Aglio, A., et al.
Published: (2004)

Algorithm to construct bifurcation structure of non-linear boundary problem for von Karman equations
by: V. A. Gromov
Published: (2017)

Bifurcations of Solitary Waves
by: Kuznetsov, E.A., et al.
Published: (2008)