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Positive solutions and Mann iterations of a fourth order nonlinear neutral delay differential equation - MaRDI portal

Positive solutions and Mann iterations of a fourth order nonlinear neutral delay differential equation (Q1722108)

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scientific article; zbMATH DE number 7021747
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Positive solutions and Mann iterations of a fourth order nonlinear neutral delay differential equation
scientific article; zbMATH DE number 7021747

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    Positive solutions and Mann iterations of a fourth order nonlinear neutral delay differential equation (English)
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    14 February 2019
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    Summary: This paper deals with a fourth order nonlinear neutral delay differential equation. By using the Banach fixed point theorem, we establish the existence of uncountably many bounded positive solutions for the equation, construct several Mann iterative sequences with mixed errors for approximating these positive solutions, and discuss some error estimates between the approximate solutions and these positive solutions. Seven nontrivial examples are given.
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