Global homeomorphism and applications to the existence and uniqueness of solutions of some differential equations

DOI10.1186/1687-1847-2014-52zbMath1417.35026OpenAlexW2103016208WikidataQ59324212 ScholiaQ59324212MaRDI QIDQ1994341

Chuan-jun Weng, Zhong-ying Wang, Yan-Qing Feng

Publication date: 1 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-52

zbMATH Keywords

diffeomorphismbasin of attractionboundary value problemBanach space

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40)

Related Items (2)

The basin of attraction method for a kind of nonlinear elliptic equations ⋮ Solvability of abstract semilinear equations by a global diffeomorphism theorem

Cites Work

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• On the existence of periodic solutions of periodically perturbed conservative systems
• Periodically perturbed conservative systems and a global inverse function theorem
• Global inversion theorems and applications to differential equations
• Existence theorems for some nonlinear fourth order elliptic boundary value problems
• Homeomorphisms Between Banach Spaces
• A criterion of invertibility in the large for local diffeomorphisms between Banach spaces
• Diffeomorphisms with Banach space domains
• On the periodic solution to the Newtonian equation of motion
• Isoperimetric Inequalities and Their Applications
• On Solving Nonlinear Equations with a One-Parameter Operator Imbedding

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