Premium
Studies on anti‐periodic boundary value problems for two classes of special second order impulsive differential equations
Author(s) -
Shi Peilin,
Dong Lingzhen
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2790
Subject(s) - mathematics , monotone polygon , uniqueness , boundary value problem , differential equation , order (exchange) , value (mathematics) , mathematical analysis , statistics , geometry , finance , economics
We consider anti‐periodic boundary value problems for two classes of special second order impulsive differential equations. On the basis of several important impulsive differential inequalities, by using the monotone iterative technique coupled with lower and upper solutions, we obtain sufficient conditions to guarantee the existence and uniqueness of solutions for such problems. Further, we give two examples to illustrate our conclusions. Copyright © 2013 John Wiley & Sons, Ltd.