scientific article
From MaRDI portal
Publication:3919010
zbMath0466.65041MaRDI QIDQ3919010
Yu. A. Ryabov, E. A. Grebennikov
Publication date: 1979
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
monographconvergenceperiodic solutionssmall parameteriterative methodsasymptotic expansionsoscillationsaveraging principleHillDuffing's equationMathieuKrylov-Bogolyubov transformationLyapunov-Poincaré seriesmultifrequency resonance systemsresonance type problems
Theoretical approximation of solutions to ordinary differential equations (34A45) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical methods for ordinary differential equations (65Lxx) Stability theory for ordinary differential equations (34Dxx) Qualitative theory for ordinary differential equations (34Cxx) Numerical analysis in abstract spaces (65J99) Boundary value problems for ordinary differential equations (34Bxx)
Related Items (70)
Numerical-analytic method for the investigation of boundary-value problems for semilinear systems of differential equations ⋮ Nonlinear Noetherian boundary-value problems in the critical case ⋮ Weakly nonlinear boundary-value problems for differential equations in a Banach space in the critical case ⋮ Motion stability in a case that is close to the critical one ⋮ THE METHOD OF SPLITTING OPERATORS AND LYAPUNOV MAJORANTS IN PERTURBATION LINEAR ALGEBRA AND CONTROL ⋮ Periodic solutions of nonlinear autonomous systems in critical cases ⋮ Boundary-value problems for parametric ordinary differential equations ⋮ Stability of certain two-particle systems ⋮ Principal two-sided solutions of Volterra-type linear integrodifferential equations with infinite aftereffect ⋮ Weakly nonlinear matrix boundary-value problem in the case of parametric resonance ⋮ Resonance and near-resonance for a nonlinear wave equation ⋮ Theory of bifurcations of the Schrödinger equation ⋮ Boundary-value problems for weakly singular integral equations ⋮ On the existence of solutions and averaging of multipoint boundary-value problems for multifrequency systems with linearly transformed argument ⋮ On an approximate solution of boundary-value problems by the least squares method ⋮ Application of polynomial cellular neural networks in diagnosis of astrometric chromaticity ⋮ Limit-periodic solutions of integro-differential equations in a critical case ⋮ Adomian decomposition method in the theory of nonlinear boundary-value problems ⋮ Weakly nonlinear Fredholm integral equations with degenerate kernel in Banach spaces ⋮ Iterative schemes for periodic boundary-value problems with switchings ⋮ Nonlinear oscillations of systems passing through resonance ⋮ Weakly nonlinear boundary-value problems for systems of impulsive integrodifferential equations. Critical case of the second order ⋮ Weakly nonlinear boundary-value problems for operator equations in Banach spaces ⋮ Acceleration of convergence of an iteration procedure for a weakly nonlinear boundary-value problem ⋮ Conditions for the existence of a solution of a Noether boundary-value problem for a second-order system ⋮ Domain of convergence of an iterative procedure for an autonomous boundary-value problem ⋮ Convex majorants method in the theory of nonlinear Volterra equations ⋮ Limit periodic motions in some systems with aftereffect under resonance condition ⋮ Construction of solutions of two-point boundary problems for weakly perturbed nonlinear systems in critical cases ⋮ Maximum periodic solutions of the Volterra integrodifferential equations in the critical case of a pair of pure imaginary roots ⋮ Applications of the methods of averaging and successive approximations for studying nonlinear oscillations ⋮ Averaging of multifrequency boundary-value problems with linearly transformed arguments ⋮ Nonlinear Noetherian second-order boundary-value problems in the critical case ⋮ On maximum periodic solutions of integrodifferential equations of Volterra type and their stability ⋮ Nonlinear boundary-value problems unsolved with respect to the derivative ⋮ Nonlocal sensitivity analysis of the eigensystem of a matrix with distinct eigenvalues ⋮ Solutions of the Schrödinger equation in a Hilbert space ⋮ On stability of viscoelastic plate equilibrium ⋮ Existence and blow-up of Kantorovich principal continuous solutions of nonlinear integral equations ⋮ Dynamical systems in \({\mathcal T}_ m \times{} E^ n\) ⋮ Stability of solutions of Volterra integrodifferential equations ⋮ On approximate solutions of nonlinear boundary-value problems by the Newton-Kantorovich method ⋮ Weakly nonlinear impulsive problems for degenerate differential systems ⋮ On a reduction of the order in a differential-algebraic system ⋮ Linear boundary value problems for normally solvable operator equations in a Banach space ⋮ A representation of a periodic solution of a linear matrix differential equation ⋮ Boundary-value problems for systems of integrodifferential equations ⋮ Weakly nonlinear systems of integrodifferential equations ⋮ Dynamics and stability of generalized cellular nonlinear network model ⋮ Unnamed Item ⋮ Resonance oscillations in some systems with aftereffect ⋮ Limit periodic motions in systems with after-effect in a critical case ⋮ Calculation of parameters of two-frequency vibration oscillators ⋮ Weakly nonlinear boundary-value problems for the Fredholm integral equations with degenerate kernels in Banach spaces ⋮ Perturbation analysis of orthogonal canonical forms ⋮ Perturbation Bounds for Certain Matrix Expressions and Numerical Solution of Matrix Equations ⋮ Nonlinear Noetherian boundary-value problem in the case of parametric resonance ⋮ Autonomous Noetherian boundary-value problem in the case of parametric resonance ⋮ Improved perturbation bounds for general quadratic matrix equations ⋮ Reduction of the Fredholm boundary-value problem to the critical case of the first order ⋮ Construction of periodic solutions of nonlinear systems in critical cases ⋮ Bounded solutions of the nonlinear Lyapunov equation and homoclinic chaos ⋮ Averaging with respect to a fast variable in triple-frequency systems of second approximation ⋮ Unnamed Item ⋮ Once again on the Samoilenko numerical-analytic method of successive periodic approximations ⋮ Periodic solutions of a second-order integrodifferential equation in the nonresonance case ⋮ Systems of van der Pol equations in the resonance case ⋮ Retracted article: ``Existence results for the general Schrödinger equations with a superlinear Neumann boundary value problem ⋮ Perturbation bounds for coupled matrix Riccati equations ⋮ Nonlinear matrix differential-algebraic boundary value problem
This page was built for publication:
