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Fixed Point Theorems for Mixed Monotone Vector Operators with Application to Systems of Nonlinear Boundary Value Problems

Abdellatif Sadrati|My Driss Aouragh
경북대학교 자연과학대학 수학과|2021.09|Kyungpook Mathematical Journal|제61권 제3호|pp. 613-629

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참고문헌

키워드

fixed point in product conemixed monotone vector operatorssystems of boundary value problems
주제분류수학

초록

In this paper, we present and prove new existence and uniqueness fixed point theorems for vector operators having a mixed monotone property in partially ordered product Banach spaces. As an application, we study the existence and uniqueness of positive solutions for systems of nonlinear Neumann boundary value problems.

Abstract

In this paper, we present and prove new existence and uniqueness fixed point theorems for vector operators having a mixed monotone property in partially ordered product Banach spaces. As an application, we study the existence and uniqueness of positive solutions for systems of nonlinear Neumann boundary value problems.

참고문헌 (16)

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