Displaying similar documents to “Estimation on certain nonlinear discrete inequality and applications to boundary value problem.”

On some discrete inequalities in two independent variables

Young-Ho Kim (2005)

Czechoslovak Mathematical Journal

Similarity:

In this paper we establish some new nonlinear difference inequalities. We also present an application of one inequality to certain nonlinear sum-difference equation.

Generalized method of lines for first order partial functional differential equations

W. Czernous (2006)

Annales Polonici Mathematici

Similarity:

Classical solutions of initial boundary value problems are approximated by solutions of associated differential difference problems. A method of lines for an unknown function for the original problem and for its partial derivatives with respect to spatial variables is constructed. A complete convergence analysis for the method is given. A stability result is proved by using differential inequalities with nonlinear estimates of the Perron type for the given operators. ...