Existence of periodic solutions for first order differential equations
type: Item
instance of: scholarly article
title: Existence of periodic solutions for first order differential equations
zbMATH Open document ID: 0582.34023
DOI: 10.1016/0096-3003(84)90003-1
published in: Applied Mathematics and Computation
publication date: 1984-01-01T00:00:00Z
review text: The author gives some existence results for the periodic boundary value problem for first order differential equations. The results obtained are in terms of the nonlinear part at infinity by combining techniques of the theory of differential inequalities, namely the method of upper and lower solutions, and the alternative method for nonlinear problems at resonance.
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 3931449
zbMATH Keywords: upper solutions
zbMATH Keywords: differential inequalities
zbMATH Keywords: lower solutions
zbMATH Keywords: alternative method
zbMATH Keywords: resonance
Wikidata QID: Q60199506
author: Juan J. Nieto
MaRDI profile type: Publication
full work available at URL: 0096-3003(84)90003-1
OpenAlex ID: W2066779206
cites work: On the structure of the solution set for periodic boundary value problems
cites work: Image d'une somme d'opérateurs monotones et applications
cites work: Q4112515
cites work: Q5608953
cites work: On the solvability of nonlinear operator equations in normed spaces
cites work: Q5330830
cites work: The Operator of Translation Along the Trajectories of Differential Equations
cites work: Periodic solutions of nonlinear boundary value problems
cites work: Q5569338
cites work: Existence and monotone method for periodic solutions of first-order differential equations
cites work: Q5588800
cites work: Problems at resonance for first and second order differential equations via Lyapunov-like functions
cites work: Q3338578
cites work: Addendum
cites work: Q4134267
description: scientific article; zbMATH DE number 3931449