Existence of weak solutions for impulsive \(p\)-Laplacian problem with superlinear impulses
type: Item
instance of: scholarly article
title: Existence of weak solutions for impulsive \(p\)-Laplacian problem with superlinear impulses
zbMATH Open document ID: 1266.34025
author: Ivan Bogun
published in: Nonlinear Analysis. Real World Applications
publication date: 2012-12-28T00:00:00Z
review text: The author proves the existence of one and then of many weak solutions under subtle conditions for impulsive \(p\)-Laplacian problem by the critical point theory. The novelty is that the impulsive conditions are superlinear impulses.
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 58E50
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 6118811
zbMATH Keywords: impulsive differential equations
zbMATH Keywords: p-Laplacian
zbMATH Keywords: superlinear impulses
reviewed by: Fulai Chen
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2012.03.014
OpenAlex ID: W2041749484
cites work: Q3125735
cites work: Q3445966
cites work: Q4853771
cites work: Q3995625
cites work: Almost periodic solutions for an impulsive delay model of price fluctuations in commodity markets
cites work: Necessary and sufficient conditions for optimal impulsive rendezvous with linear equations of motion
cites work: Optimal impulsive space trajectories based on linear equations
cites work: Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft
cites work: Optimal impulsive harvesting policy for single population
cites work: Impulsive state feedback control of a predator-prey model
cites work: Dynamic analysis of Michaelis-Menten chemostat-type competition models with time delay and pulse in a polluted environment
cites work: Variational approach to impulsive differential equations
cites work: Q3749777
cites work: APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS
cites work: Variational approach to impulsive differential equations with Dirichlet boundary conditions
cites work: Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects
cites work: An application of variational methods to Dirichlet boundary value problem with impulses
DOI: 10.1016/J.NONRWA.2012.03.014
description: scientific article; zbMATH DE number 6118811