Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation

Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation

Abstract In this paper, by studying the solutions of the abstract operator equation A(x,x)+B(x,x)+e=x $A(x,x)+B(x,x)+e=x$ on ordered Banach spaces, where A, B are two mixed monotone operators and e∈P $e\in P$ with θ≤e≤h $\theta \leq e\leq h$, we prove a class of boundary value problems on elastic be...

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Bibliographic Details
Main Authors: Yanbin Sang, Yan Ren
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Boundary Value Problems
Subjects:
Mixed monotone operator
Beam equation
Existence and uniqueness
Fractional differential equation
Cone
Online Access:http://link.springer.com/article/10.1186/s13661-019-1160-x

Internet

http://link.springer.com/article/10.1186/s13661-019-1160-x

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