Non-spurious solutions to discrete boundary value problems through\n variational methods

2015/03/05 by Marek Galewski, Galewski, Marek, Ewa Schmeidel +1
Computer Science · Mathematics · #34B15 #39A10 #39A12 #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1503.01807

openalex publication_date 2015/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using direct variational method we consider the existence of non-spurious\nsolutions to the following Dirichlet problem \x\( t\) =f\(\nt,x\( t\) \) , x\( 0\) =x\( 1\) =0 where\nf:\[ 0,1\] \× \ℝ \→ \ℝ is a jointly\ncontinuous function convex in x which does not need to satisfy any further\ngrowth conditions.\n

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