Add to ORKGThe mathematical model of nonlinear oscillations of weightless string is analyzed. To find an asymptotic solution of the problem, uniformly valid in a long interval of time, an averaged system of integral differential equations has been constructed. A method for constructing special approximations of its solutions is proposed
Presented herein is to establish the asymptotic analytical solutions for the fifth-order Duffing typ...
The final publication is available at www.springerlink.com (DOI: 10.1007/s10958-011-0234-9)We study...
In this paper a new analytical method for solving the truly (pure) non-linear differential...
The mathematical model of nonlinear oscillations of weightless string is analyzed. To find an a...
In the paper, an asymptotic analysis of G.F. Carrier’s mathematical model of string oscillation is p...
We study a class of elastic systems described by a (hyperbolic) partial differential equation. Our w...
International audienceThe problem of constructing and classifying normal oscillations of a string wi...
The string oscillations of finite length with fixed ends, under the influence of a continuous force ...
AbstractIn this paper, the approximate solutions of the mathematical model of a mass attached to a s...
In this thesis two models for axially moving continua have been studied: a string-like model and a b...
A complete investigation of the coupled amplitude theory of nonlinear surface acoustic waves on an i...
Starting from the observation that classical asymptotic methods fail to correctly describe the reson...
We consider coupled nonlinear equations modelling a family of travelling wave solutions. The goal of...
Exact solutions for free vibration of thick rectangular orthotropic plates when their all edges are ...
In this thesis a class of nonlinear oscillator equations is studied. Asymptotic approximations of fi...
Presented herein is to establish the asymptotic analytical solutions for the fifth-order Duffing typ...
The final publication is available at www.springerlink.com (DOI: 10.1007/s10958-011-0234-9)We study...
In this paper a new analytical method for solving the truly (pure) non-linear differential...
The mathematical model of nonlinear oscillations of weightless string is analyzed. To find an a...
In the paper, an asymptotic analysis of G.F. Carrier’s mathematical model of string oscillation is p...
We study a class of elastic systems described by a (hyperbolic) partial differential equation. Our w...
International audienceThe problem of constructing and classifying normal oscillations of a string wi...
The string oscillations of finite length with fixed ends, under the influence of a continuous force ...
AbstractIn this paper, the approximate solutions of the mathematical model of a mass attached to a s...
In this thesis two models for axially moving continua have been studied: a string-like model and a b...
A complete investigation of the coupled amplitude theory of nonlinear surface acoustic waves on an i...
Starting from the observation that classical asymptotic methods fail to correctly describe the reson...
We consider coupled nonlinear equations modelling a family of travelling wave solutions. The goal of...
Exact solutions for free vibration of thick rectangular orthotropic plates when their all edges are ...
In this thesis a class of nonlinear oscillator equations is studied. Asymptotic approximations of fi...
Presented herein is to establish the asymptotic analytical solutions for the fifth-order Duffing typ...
The final publication is available at www.springerlink.com (DOI: 10.1007/s10958-011-0234-9)We study...
In this paper a new analytical method for solving the truly (pure) non-linear differential...