Studies on anti‐periodic boundary value problems for two classes of special second order impulsive differential equations

Abstract

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.

A survey and new investigation on $(n,n-k)$-type boundary value problems for higher order impulsive fractional differential equations

“…In [46], authors studied existence and uniqueness of solutions of anti-periodic boundary value problems for two classes of special second order impulsive differential equations. The methods used are based upon the monotone iterative technique coupled with lower and upper solutions.…”