NEW EXISTING RESULTS FOR A SYSTEM OF NONLINEAR THIRD-ORDER DIFFERENTIAL EQUATION VIA FIXED POINT INDEX

Chengbo Zhai; Li Zhao; Shunyong Li; H. R. Marasi

doi:10.11948/2018.1694

2018 Volume 8 Issue 6

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Chengbo Zhai, Li Zhao, Shunyong Li, H. R. Marasi. NEW EXISTING RESULTS FOR A SYSTEM OF NONLINEAR THIRD-ORDER DIFFERENTIAL EQUATION VIA FIXED POINT INDEX[J]. Journal of Applied Analysis & Computation, 2018, 8(6): 1694-1706. doi: 10.11948/2018.1694

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Chengbo Zhai, Li Zhao, Shunyong Li, H. R. Marasi. NEW EXISTING RESULTS FOR A SYSTEM OF NONLINEAR THIRD-ORDER DIFFERENTIAL EQUATION VIA FIXED POINT INDEX[J]. Journal of Applied Analysis & Computation, 2018, 8(6): 1694-1706. doi: 10.11948/2018.1694

NEW EXISTING RESULTS FOR A SYSTEM OF NONLINEAR THIRD-ORDER DIFFERENTIAL EQUATION VIA FIXED POINT INDEX

1 School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China;
2 University of Tabriz, Tabriz, Iran

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Abstract

Abstract

By using fixed point index theory, we investigate a system of nonlinear third-order differential equation. We give some sufficient conditions for the existence of at least one or two positive solutions to the system of nonlinear third-order differential equation. As applications, we also present two examples to demonstrate the main results.
- System of third-order differential equation /
- positive solution /
- fixed point index theory /
- existence
MSC: 34B10;34B18

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References

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