First order differential equations with piecewise constant arguments and nonlinear boundary value conditions
type: Item
instance of: scholarly article
title: First order differential equations with piecewise constant arguments and nonlinear boundary value conditions
zbMATH Open document ID: 1228.34098
author: Alberto Cabada
author: Juan Bosco Ferreiro
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-05-10T00:00:00Z
review text: Consider the boundary value problem \[ x'(t)= f(t,x(t), x([t]))\quad\text{for }t\in I= [0,T],\tag{\(*\)} \] where \(T\) is a positive number \([.]\) denotes the greatest integer function. By means of the method of (weakly coupled) lower and upper solutions, the authors establish under suitable assumptions the existence of extremal solutions and extremal quasi-solutions of \((*)\).
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34K07
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5886402
zbMATH Keywords: nonlinear boundary value conditions
zbMATH Keywords: comparison results
zbMATH Keywords: piecewise constant arguments
zbMATH Keywords: lower and upper solutions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.02.054
OpenAlex ID: W2047806915
cites work: Q4693712
cites work: Green's function and comparison principles for first order periodic differential equations with piecewise constant arguments
cites work: Retarded differential equations with piecewise constant delays
cites work: Q3975198
cites work: A class of piecewise linear differential equations arising in biological models
cites work: On delay differential equations with nonlinear boundary conditions
cites work: On quasi-periodic solutions of differential equations with piecewise constant argument
cites work: Q4762969
cites work: Advanced differential equations with piecewise constant argument deviations
cites work: Q4858399
cites work: A damped oscillator with piecewise constant time delay
cites work: Differential equations with piecewise constant argument and impulsive equations
cites work: Q4522577
DOI: 10.1016/J.JMAA.2011.02.054
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description: scientific article; zbMATH DE number 5886402