Two point boundary value problems for nonlinear second order differential equations in Hilbert spaces

DOI10.2748/tmj/1178229639zbMath0436.34057OpenAlexW2024308975MaRDI QIDQ1140779

Jean Mawhin

Publication date: 1980

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229639

zbMATH Keywords

monotone operatorsPicard boundary value problemNagumo conditiontwo point boundary value problemsLeray-Schauder's theoremnonlinear second order differential equations in Hilbert spaces

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential equations and systems (34A34) Nonlinear differential equations in abstract spaces (34G20)

Related Items (14)

Nagumo conditions for systems of second-order differential equations ⋮ Existence and uniqueness results for nonlinear boundary value problems ⋮ Existence and uniqueness of solutions for a nonlinear second order differential equation in Hilbert space ⋮ Boundary value problems for differential equations in Hilbert spaces involving reflection of the argument ⋮ Measures of noncompactness, Darbo maps and differential equations in abstract spaces ⋮ Fixed-point theory for the sum of two operators ⋮ On the solvability of boundary value problems for higher order ordinary differential equations ⋮ The Picard boundary value problem for nonlinear second order vector differential equations ⋮ Dirichlet problem in Banach spaces: the bound sets approach ⋮ Discrete continuation method for boundary value problems on bounded sets in Banach spaces ⋮ Scorza-Dragoni approach to Dirichlet problem in Banach spaces ⋮ Semilinear second order evolution equations of compact type with regular boundary conditions ⋮ Existence of rotating-periodic solutions for nonlinear second order vector differential equations ⋮ Hartman-type conditions for multivalued Dirichlet problem in abstract spaces

Cites Work

• Existence o f solutions of two-point boundary value problems for nonlinear systems
• Monotone techniques and semilinear elliptic boundary value problems
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