Variational approach to second-order impulsive dynamic equations on time scales

2013/02/19 by M. Victoria Otero‐Espinar, Victoria Otero-Espinar, Otero-Espinar, Victoria +2
Mathematics · #34B37 #34N05 #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #math.CA #msc:34B37 #msc:34N05

paper · pdf · doi:10.48550/arxiv.1302.4666

17 pages

openalex publication_date 2013/02/19 · arxiv created 2013/04/26 · arxiv updated 2013/04/29 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to employ variational techniques and critical point theory to prove some conditions for the existence of solutions to nonlinear impulsive dynamic equation with homogeneous Dirichlet boundary conditions. Also we will be interested in the solutions of the impulsive nonlinear problem with linear derivative dependence satisfying an impulsive condition.

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