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

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

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

Author(s) -

Chengbo Zhai,

Zhao Li,

Shunyong Li,

H. R. Marasi

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1694

Subject(s) - fixed point index , mathematics , nonlinear system , differential equation , fixed point , third order , mathematical analysis , index (typography) , first order partial differential equation , order (exchange) , fixed point theorem , computer science , physics , boundary value problem , philosophy , theology , finance , quantum mechanics , world wide web , economics

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.

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