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. Electronic Journal of Differential Equations, 2007(81), pp. 1-3.
Rights
Attribution 4.0 International