Discrete continuation method for boundary value problems on bounded sets in Banach spaces

DOI10.1016/S0377-0427(99)00261-7zbMath0939.34021MaRDI QIDQ1963895

Radu Precup

Publication date: 5 July 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

solutionsboundary value problemssecond-order differential equationsBanach spacecontractions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear differential equations in abstract spaces (34G20)

Related Items (6)

Common fixed point theorems for Geraghty's type contraction mappings using the monotone property with two metrics ⋮ Existence theory for nabla fractional three-point boundary value problems via continuation methods for contractive maps ⋮ Continuation Theory for Contractions on Spaces with Two Vector-Valued Metrics ⋮ Global existence theory for fractional differential equations: new advances via continuation methods for contractive maps ⋮ Fixed point theory for generalized contractions on spaces with two metrics ⋮ On the continuation method and the nonlinear alternative for Caristi-type non-self-mappings

Cites Work

• Two point boundary value problems for nonlinear second order differential equations in Hilbert spaces
• Existence and uniqueness results for nonlinear boundary value problems
• Continuation method for contractive maps
• Fixed point theorems for contraction mappings with applications to nonexpansive and pseudo-contractive mappings
• Un'osservazione sulle contrazioni metriche
• Analytic Inequalities
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