# Solution of Polynomial Systems Derived from Differential Equations

## Related Articles

- Exact Null Controllability of a Nonlinear Thermoelastic Contact Problem. Sivergina, Irina F.; Polis, Michael P. // Applied Mathematics & Optimization;Jan/Feb2005, Vol. 51 Issue 1, p107
We study the controllability properties of a nonlinear parabolic system that models the temperature evolution of a one-dimensional thermoelastic rod that may come into contact with a rigid obstacle. Basically the system dynamics is described by a one-dimensional nonlocal heat equation with a...

- A stability result in a weakly damped nonlinear Timoshenko system. Messaoudi, Salim A.; Mustafa, Muhammad I. // AIP Conference Proceedings;7/2/2009, Vol. 1146 Issue 1, p123
In this paper we consider the following Timoshenko system Ï†tt-(Ï†x+Ïˆ)x = 0, (0,1)Ã—(0,+âˆž) Ïˆtt-Ïˆxx+Ï†x+Ïˆ+Ïƒ(t)g(Ïˆt) = 0, (0,1)Ã—(0,+âˆž) with Dirichlet boundary conditions where Ïƒ is a positive function and g is a nondecreasing function satisfying some...

- AN EFFICIENT APPLICATIONS OF HE'S VARIATIONAL ITERATION METHOD BASED ON A RELIABLE MODIFICATION OF ADOMIAN ALGORITHM FOR NONLINEAR BOUNDARY VALUE PROBLEMS. Golbabai, A.; Sayevand, K. // Journal of Nonlinear Sciences & its Applications;2010, Vol. 3 Issue 2, p152
In this paper, the He's variational iteration method (VIM) based on a reliable modification of Adomian algorithm has been used to obtain solutions of the nonlinear boundary value problems (BVP). Comparison of the result obtained by the present method with that obtained by Adomian method [A....

- Nonlinear Functional Analysis of Boundary Value Problems: Novel Theory, Methods, and Applications. Yong Hong Wu; Lishan Liu; Benchawan Wiwatanapataphee; Shaoyong Lai // Abstract & Applied Analysis;2013, p1
No abstract available.

- A simplified nonlinear stability analysis of an imperfect rectangular two-bar frame. Ioannidis, George I.; Raftoyiannis, Ioannis G. // Computational Mechanics;Feb2005, Vol. 35 Issue 2, p127
A simplified nonlinear stability analysis for moderately large rotations and small strains is performed on a rectangular two-bar frame subjected to a concentrated eccentrically applied joint load. Such a simplification consisting of adopting linear kinematic relations leads to very reliable...

- Method of accelerated convergence for the construction of solutions of a Noetherian boundary-value problem. Boichuk, A. A.; Chuiko, S. M. // Ukrainian Mathematical Journal;Dec2008, Vol. 60 Issue 12, p1861
We study the problem of finding conditions for the existence of solutions of weakly nonlinear Noetherian boundary-value problems for systems of ordinary differential equations and the construction of these solutions. A new iterative procedure with accelerated convergence is proposed for the...

- Classical solution of a one-dimensional parabolic boundary value problem with nonlinear boundary conditions and moving boundary. Chernov, I. // Differential Equations;Jul2010, Vol. 46 Issue 7, p1053
We consider a nonlinear parabolic boundary value problem of the Stefan type with one space variable, which generalizes the model of hydride formation under constant conditions. We suggest a grid method for constructing approximations to the unknown boundary and to the concentration distribution....

- ON THE PARAMETRIZATION OF NONLINEAR BOUNDARY VALUE PROBLEMS WITH NONLINEAR BOUNDARY CONDITIONS. Marynets, K. // Miskolc Mathematical Notes;2011, Vol. 12 Issue 2, p209
We consider a boundary value problem with nonlinear boundary conditions. By using a suitable parametrization, we reduce the original problem to the parametrized one containing linear boundary restrictions. We construct a numerical-analytic scheme that is suitable for the study of the solutions...

- BOUNDARY CROSSING PROBABILITY FOR BROWNIAN MOTION. Potzelberger, Klaus; Wang, Liqun // Journal of Applied Probability;Mar2001, Vol. 38 Issue 1, p152
Deals with a study which derived a formula for the probability that a Brownian motion crosses a one-sided piecewise linear boundary to approximate the boundary crossing probability for general nonlinear boundaries. Crossing probability for piecewise linear boundaries; Approximation for general...