ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES

DOI10.1070/rm1963v018n03ABEH001137zbMath0135.14001OpenAlexW2080052269MaRDI QIDQ5507871

Publication date: 1963

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1963v018n03abeh001137

zbMATH Keywords

ordinary differential equations

Related Items

First-order aggregation models with alignment, Optimal control of singularly perturbed linear systems : single term Walsh series approach, On the identification of the axial force and bending stiffness of stay cables anchored to flexible supports, Weak selection and the separation of eco-evo time scales using perturbation analysis, Global analyticity of a geometric decomposition for linear singularly perturbed systems, Singular perturbation methods for slow-fast dynamics, Asymptotic analysis of a target-mediated drug disposition model: algorithmic and traditional approaches, Computational analysis of blood flow through stenosed artery under the influence of body acceleration using Shishkin mesh, An alternative approach to Michaelis-Menten kinetics that is based on the renormalization group, Singularly Perturbed Boundary Value Problems with Angular Limiting Solutions, Input-output systems in Biology and Chemistry and a class of mathematical models describing them., Singular perturbations of linear systems with multiparameters and multiple time scales, On quantum stability for systems under quasiperiodic perturbations, Asymptotic expansions obtained by a center manifold theorem, Composite control of non-linear singularly perturbed systems: meeting a design objective, Dichotomies and stability in singularly perturbed systems of O.D.E., Systems of Differential Equations of Infinite Order with Small Parameter and Countable Markov Chains, Distributional convergence in planar dynamics and singular perturbations, Heineken, Tsuchiya and Aris: ``On the mathematical status of the pseudo-steady state hypothesis. A classic from Volume 1 of \textit{Mathematical Biosciences}, A Green function approach for a singularly perturbed vector boundary- value problem, Practical exponential stability and closeness of solutions for singularly perturbed systems via averaging, Boundary and interior layers for singularly pertubed boundary value problems, Unnamed Item, Some aspects of conservative and dissipative KAM theorems, The Michaelis-Menten-Stueckelberg theorem, On the Kolmogorov’s condition for a special case of the Kirchhoff top, On the application of the method of matching asymptotic expansions to a singular system of ordinary differential equations with a small parameter, Renormalization group method for solving initial value problem of slow‐fast system, Uniform Asymptotic Expansions beyond the tQSSA for the Goldbeter--Koshland Switch, A class of superquadratic boundary value problems of capillary type, Singularly perturbed problems with multi-tempo fast variables, The role of slow system dynamics in predicting the degeneracy of slow invariant manifolds: the case of vdP relaxation-oscillations, Asymptotic expansions in the perturbed two-body problem with application to systems with variable mass, Computing quasi-steady state reductions, Heteroclinic bifurcation and singularly perturbed boundary value problems, Dobrushin Mean-Field Approach for Queueing Large-Scale Networks with a Small Parameter, First-order aggregation models and zero inertia limits, Shock layer behavior for a quasilinear boundary value problem, Semi-analytical methods for singularly perturbed multibody system models, Asymptotic expansions for SDE's with small multiplicative noise, Perturbation problems with quadratic dependence on the first derivative, Frequency analysis of the stability of asteroids in the framework of the restricted three-body problem, An upper bound for the singular parameter in a stable, singularly perturbed system, Some new basic results for singularly perturbed ordinary differential equations, On the matrix Riccati equation for a singularly perturbed linear discrete control system, Boundary layer methods for certain nonlinear singularity perturbed optimal control problems, Suboptimal control of fixed-end-point minimum energy problem via singular perturbation theory, Singular perturbations and order reduction in control theory - an overview, Singularly perturbed superquadratic boundary value problems, Singularly Perturbed Nonlinear Boundary‐Value Problems Whose Reduced Equations Have Singular Points, Application of Vasileva's singular perturbation method to a problem in ecology, A study case for the analysis of asymptotic expansions beyond the tQSSA for inhibitory mechanisms in enzyme kinetics., Equation-free multiscale computational analysis of individual-based epidemic dynamics on networks, An asymptotic theory for a class of nonlinear Robin problems, An approach to stability analyses in general relativity via symplectic geometry, Singular perturbation analysis of a class of boundary value problems arising in catalytic reaction theory, An improved boundary layer estimate for a singularly perturbed initial value problem, On a nonlinear boundary value problem with a small parameter multiplying the highest derivative, On singular perturbation and parabolic boundary layers, Some singularly perturbated superquadratic boundary value problems whose solutions exhibit boundary and shock layer behavior, Asymptotic series solutions for non-linear ordinary differential equations with a small parameter, An approximation theorem for linear optimal regulators, Topics in singular perturbations, Singular perturbations of a boundary value problem for a system of nonlinear differential equations, Diagonalization and stability of multi-time-scale singularly perturbed linear systems, Boundary layer behavior in perturbed second-order systems, Stochastic equations of the Langevin type under a weakly dependent perturbation, On the asymptotic theory of dissipative wave motion, Deterministic parameter estimation for near-optimum feedback control, УГЛОВОЙ ПОГРАНИЧНЫЙ СЛОЙ В КРАЕВЫХ ЗАДАЧАХ ДЛЯ СИНГУЛЯРНО ВОЗМУЩЕННЫХ ПАРАБОЛИЧЕСКИХ УРАВНЕНИЙ С КВАДРАТИЧНОЙ НЕЛИНЕЙНОСТЬЮ, "Журнал вычислительной математики и математической физики", Multiparameter singular perturbations of linear systems with multiple time scales, Lissajous and halo orbits in the restricted three-body problem, On the pseudo-steady-state approximation and Tikhonov theorem for general enzyme systems, A uniformly accurate numerical method for a class of dissipative systems, The ``hidden dynamics of the Rössler attractor