Impulsive resonance periodic problems of first order
type: Item
instance of: scholarly article
title: Impulsive resonance periodic problems of first order
zbMATH Open document ID: 1022.34025
DOI: 10.1016/S0893-9659(01)00163-X
published in: Applied Mathematics Letters
publication date: 2003-03-10T00:00:00Z
review text: A theorem on the existence of solutions to the nonlinear periodic boundary value problem \[ u'(t)+ F(t, u(t))= 0,\quad t\neq t_1,\dots, t_p,\quad u(t^+_j)= u(t^-_j)+ I_j(u(t^-_j)),\quad j= 1,\dots, p, \] is proved.
Mathematics Subject Classification ID: 34B37
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1878879
zbMATH Keywords: impulsive differential equation
zbMATH Keywords: periodic boundary value problem
zbMATH Keywords: Green's function
zbMATH Keywords: sublinear nonlinearity
zbMATH Keywords: sublinear growth
Wikidata QID: Q60199462
author: Juan J. Nieto
reviewed by: S. Kostadinov
MaRDI profile type: Publication
cites work: Q3995625
cites work: Q4853771
cites work: Q4337944
cites work: Q4522565
cites work: Q4338976
cites work: Successive approximation method for quasilinear impulsive differential equations with control.
cites work: Q4487436
cites work: Asymptotic behavior of solutions of impulsive neutral differential equations
cites work: Basic theory for nonresonance impulsive periodic problems of first order
cites work: Q3049152
description: scientific article; zbMATH DE number 1878879