Global diffeomorphism theorem applied to the solvability of discrete and continuous boundary value problems

DOI10.1080/10236198.2017.1405950zbMath1391.34050arXiv1711.10030OpenAlexW2962953609MaRDI QIDQ5374276

Marek Galewski, Michał Bełdziński

Publication date: 10 April 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10030

zbMATH Keywords

Palais-Smale conditiondiscrete boundary value problemglobal diffeomorphismnon-spurious solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

On solvability of elliptic boundary value problems via global invertibility ⋮ A global diffeomorphism theorem and a unique weak solution of Dirichlet problem ⋮ Solvability of abstract semilinear equations by a global diffeomorphism theorem ⋮ On unique solvability of a Dirichlet problem with nonlinearity depending on the derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of non-spurious solutions to discrete Dirichlet problems with lower and upper solutions
• Global inversion theorem to unique solvability of Dirichlet problems
• The nonexistence of spurious solutions to discrete, two-point boundary value problems
• Non-spurious solutions to discrete boundary value problems through variational methods
• On the Diffeomorphisms Between Banach and Hilbert Spaces
• Difference Equations Associated with Boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations
• Control system defined by some integral operator