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Non-spurious solutions to discrete boundary value problems through variational methods
- Publication Year :
- 2015
-
Abstract
- Using direct variational method we consider the existence of non-spurious solutions to the following Dirichlet problem $\ddot{x}\left( t\right) =f\left( t,x\left( t\right) \right) $, $x\left( 0\right) =x\left( 1\right) =0 $ where $f:\left[ 0,1\right] \times \mathbb{R} \rightarrow \mathbb{R}$ is a jointly continuous function convex in $x$ which does not need to satisfy any further growth conditions.
- Subjects :
- Mathematics - Classical Analysis and ODEs
39A12, 39A10, 34B15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1503.01807
- Document Type :
- Working Paper