Dependence on parameters for discrete second order boundary value problems
Marek Galewski
TL;DR
This paper studies how solutions to second order difference equations with boundary conditions depend on parameters, using variational methods, and applies findings to the discrete Emden-Fowler equation.
Contribution
It introduces a variational approach to analyze parameter dependence in discrete boundary value problems, specifically when the Euler functional is coercive.
Findings
Established parameter dependence results for second order difference equations.
Applied the theoretical results to the discrete Emden-Fowler equation.
Demonstrated the effectiveness of variational methods in discrete boundary value problems.
Abstract
We investigate the dependence on parameters for second order difference equations with two point boundary value conditions by using a variational method in case when the corresponding Euler action functional is coercive. Some applications for discrete Emden-Fowler equation are also given.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Differential Equations and Boundary Problems · Differential Equations and Numerical Methods