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

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

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 co...

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Veröffentlicht in:Mathematical methods in the applied sciences 2014-01, Vol.37 (1), p.123-135
Hauptverfasser: Shi, Peilin, Dong, Lingzhen
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anti-periodic boundary value problem
Boundary value problems
impulsive differential inequality
lower (upper) solution
monotone iterative technique
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description 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.
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subjects anti-periodic boundary value problem
Boundary value problems
impulsive differential inequality
lower (upper) solution
monotone iterative technique
title Studies on anti-periodic boundary value problems for two classes of special second order impulsive differential equations
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