Positive solutions of a nonlinear impulsive equation with periodic boundary conditions
type: Item
instance of: scholarly article
title: Positive solutions of a nonlinear impulsive equation with periodic boundary conditions
zbMATH Open document ID: 1207.34033
author: Aydin Huseynov
published in: Applied Mathematics and Computation
publication date: 2010-10-11T00:00:00Z
review text: The author considers the boundary value problem \[ -(p(x)y')' + q(x)y = f(x,y), \quad x \in [a,c)\cup(c,b], \] \[ y(c^-) = d_1y(c^+), \quad (py')(c^-) = d_2(py')(c^+), \] \[ y(a) = y(b),\quad (py')(a) = (py')(b), \] where \(a < c < b\), \(p\), \(q\) are measurable functions, \(f : [a,b]\times {\mathbb R} \to {\mathbb R}\), \(d_1\), \(d_2 \not= 0\). Using various well-known fixed point theorems, several existence (and uniqueness) results for a positive solution to the BVP are obtained.
reviewed by: Jan Tomeček
Mathematics Subject Classification ID: 34B37
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5798104
zbMATH Keywords: impulsive differential equations
zbMATH Keywords: Green's function
zbMATH Keywords: positive solution
zbMATH Keywords: fixed point theorem
MaRDI profile type: Publication
full work available at URL: j.amc.2010.05.055
OpenAlex ID: W2079346982
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DOI: 10.1016/J.AMC.2010.05.055
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description: scientific article; zbMATH DE number 5798104