Global Solutions of Systems of Nonlinear Impulsive Volterra Integral Equations in Banach Spaces

CHEN Fang-qi; CHEN Yu-shu

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CHEN Fang-qi, CHEN Yu-shu. Global Solutions of Systems of Nonlinear Impulsive Volterra Integral Equations in Banach Spaces[J]. Applied Mathematics and Mechanics, 2001, 22(6): 551-560.

Citation:

CHEN Fang-qi, CHEN Yu-shu. Global Solutions of Systems of Nonlinear Impulsive Volterra Integral Equations in Banach Spaces[J]. Applied Mathematics and Mechanics, 2001, 22(6): 551-560.

Citation:

CHEN Fang-qi, CHEN Yu-shu. Global Solutions of Systems of Nonlinear Impulsive Volterra Integral Equations in Banach Spaces[J]. Applied Mathematics and Mechanics, 2001, 22(6): 551-560.

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Global Solutions of Systems of Nonlinear Impulsive Volterra Integral Equations in Banach Spaces

CHEN Fang-qi^1,2,
CHEN Yu-shu²

1.
Department of Mathematics, Tianjin University, Tianjin 300072, P R China;
2.
Department of Mechanics, Tianjin University, Tianjin 300072, P R China

Received Date: 1999-11-01
Rev Recd Date: 2000-11-23
Publish Date: 2001-06-15

Abstract

Abstract

The existence of solutions for systems of nonlinear impulsive Volterra integral equations on the infinite interval R⁺ with an infinite number of moments of impulse effect in Banach spaces is studied.Some existence theorems of extremal solutions are obtained,which extend the related results for this class of equations on a finite interval with a finite number of moments of impulse effect.The results are demonstrated by means of an example of an infinite systems for impulsive integral equations.
- system of impulsive Volterra integral equations,
- Tonelli.s method,
- extremal solutions,
- cone and partial ordering

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References(11)

References

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