A generalization of the monotone method for second order periodic boundaryvalue problem with impulses at fixed points

Authors
Cabada, A Nieto, JJ Franco, D Trofimchuk, SI
Citation
A. Cabada et al., A generalization of the monotone method for second order periodic boundaryvalue problem with impulses at fixed points, DYN C D I S, 7(1), 2000, pp. 145-158
Citations number
17
Categorie Soggetti
Engineering Mathematics
Journal title
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS
ISSN journal
12013390 → ACNP
Volume
7
Issue
1
Year of publication
2000
Pages
145 - 158
Database
ISI
SICI code
1201-3390(200003)7:1<145:AGOTMM>2.0.ZU;2-7
Abstract
We present an existence result and so me comparison results for a second or der boundary value problem for ordinary differential equations with impulse s at fixed moments. Then, it is presented the monotone iterative scheme. Fi nally we study the validity of the monotone iterative technique for a disco ntinuous nonlinearity in the dependent variable. AMS (MOS) subject classifi cation: 34A37, 34C25.