Remark on Duffing equation with Dirichlet boundary condition
Date
2007-05-29
Authors
Tomiczek, Petr
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this note, we prove the existence of a solution to the semilinear second order ordinary differential equation
u″(x) + r(x)u′ + g(x, u) = ƒ(x),
x(0) = x(π) = 0,
using a variational method and critical point theory.
Description
Keywords
Second order ODE, Dirichlet problem, Variational method, Critical point
Citation
Tomiczek, P. (2007). Remark on Duffing equation with Dirichlet boundary condition. <i>Electronic Journal of Differential Equations, 2007</i>(81), pp. 1-3.
Rights
Attribution 4.0 International