Stability and square integrability of solutions of nonlinear fourth order differential equations
Journal Title: Bulletin of Computational Applied Mathematics (Bull CompAMa) - Year 2016, Vol 4, Issue 1
Abstract
The aim of the present paper is to establish a new result, which guarantees the asymptotic stability of zero solution and square integrability of solutions and their derivatives to nonlinear differential equations of fourth order.
Authors and Affiliations
Moussadek Remili, Mebrouk Rahmane
Keywords
Related Articles
- EP ID EP240463
- DOI -
- Views 77
- Downloads 0
Oceanic influence on extreme rainfall trends in the north central coast of Venezuela: present and future climate assessments
Extreme events are an important part of climate variability and their intensity and persistence are often modulated by large scale climatic patterns which might act as forcing drivers affecting their probability of occur...
Derivative-free method for bound constrained nonlinear monotone equations and its application in solving steady state reaction-diffusion problems
We present a derivative-free algorithm for solving bound constrained systems of nonlinear monotone equations. The algorithm generates feasible iterates using in a systematic way the residual as search direction and a sui...
Numerical solution for a family of delay functional differential equations using step by step Tau approximations
We use the segmented formulation of the Tau method to approximate the solutions of a family of linear and nonlinear neutral delay differential equations \begin{eqnarray} \nonumber a_1(t)y'(t) & = & y(t)[a_2(t)y(t-\ta...
Legendre collocation method and its convergence analysis for the numerical solutions of the conductor-like screening model for real solvents integral equation
In this paper, a reliable algorithm for solving the nonlinear Hammerstein integral equation arising from chemical phenomenon is presented. The conductor-like screening model for real solvents (COSMO-RS) integral equation...
Solving the KPI wave equation with a moving adaptive FEM grid
The Kadomtsev-Petviashvili I (KPI) equation is the difficult nonlinear wave equation $U_{xt} + 6U_x^2 + 6UU_{xx} + U_{xxxx} = 3U_{yy}.$ We solve this equation using PDE2D (www.pde2d.com) with initial conditions consisti...