BOUNDEDNESS OF SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL JUMP CONDITIONS

Jing Shao; Fanwei Meng

doi:10.11948/2018.1575

2018 Volume 8 Issue 5

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Jing Shao, Fanwei Meng. BOUNDEDNESS OF SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL JUMP CONDITIONS[J]. Journal of Applied Analysis & Computation, 2018, 8(5): 1575-1585. doi: 10.11948/2018.1575

Citation:

Jing Shao, Fanwei Meng. BOUNDEDNESS OF SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL JUMP CONDITIONS[J]. Journal of Applied Analysis & Computation, 2018, 8(5): 1575-1585. doi: 10.11948/2018.1575

BOUNDEDNESS OF SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL JUMP CONDITIONS

Jing Shao^1,2,
Fanwei Meng³

1 Institute of Applied Physics and Computational Mathematics, No.6 Huayuan Road, Beijing 100088, China;
2 Department of Mathematics, Jining University, No.1 Xingtan Road, Qufu 273155, Shandong, China;
3 School of Mathematical Science, Qufu Normal University, No.57 Jingxuanxi Road, Qufu 273165, Shandong, China

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Abstract

Abstract

The boundedness of solutions for certain nonlinear impulsive differential equations are obtained, the jumping conditions at discontinuous points are related to the integral of the past states, rather than a left hand limit at the discontinuous points. These results are obtained by new built impulsive integral inequalities with integral jumping conditions using the method of successive iteration.
- Impulsive differential equation /
- boundedness /
- integral inequalities /
- integral jump condition /
- discontinuous function
MSC: 34C10;26D10;45A99

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References

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