Boundary Value Problems for Nonlinear Second Order Difference Equations With Impulse

Huseyin Bereketoglu; Aydin Huseynov

doi:10.3879/j.issn.1000-0887.2009.08.011

Volume 30 Issue 8

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Huseyin Bereketoglu, Aydin Huseynov. Boundary Value Problems for Nonlinear Second Order Difference Equations With Impulse[J]. Applied Mathematics and Mechanics, 2009, 30(8): 979-989. doi: 10.3879/j.issn.1000-0887.2009.08.011

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Boundary Value Problems for Nonlinear Second Order Difference Equations With Impulse

doi: 10.3879/j.issn.1000-0887.2009.08.011

Department of Mathematics, Ankara University, Tandogan 06100, Ankara, Turkey

Received Date: 2009-01-20
Rev Recd Date: 2009-06-19
Publish Date: 2009-08-15

Abstract

Abstract

A boundary value problem with impulse (BVPI) for nonlinear second order difference equations is considered. Green's function of the BVPI was constructed and then the nonlinear BVPI was reduced to a fixed point problem. Banach fixed point theorem and Lipschitz condition were applied to show the uniqueness of solutions for the nonlinear BVPI. Finally, the theorem existence of solutions for the nonlinear BVPI was proved.
- impulse conditions,
- Green’s function,
- fixed point theorems,
- Lipschitz condition,
- existence,
- uniqueness

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References(17)

References

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