Solvability of Neumann BV problems for nonlinear second-order ODEs which need not be solvable for the highest-order derivative

DOI10.1016/0022-247X(83)90103-8zbMath0513.34020OpenAlexW2013588915MaRDI QIDQ1050519

J. Blot

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(83)90103-8

zbMATH Keywords

boundary value problemimplicit differential equationsnonlinear Neumann

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (6)

Unnamed Item ⋮ Solvability of \(m\)-point boundary value problems with nonlinear growth ⋮ On the solvability of a Neumann boundary value problem for the differential equation \(f(t,x,x',x)=0\) ⋮ A priori bounds and nodal properties for periodic solutions to a class of ordinary differential equations ⋮ On a singular boundary value problem for the differential equation \(f(t,x,x^{\prime },x^{\prime\prime })=0 \) using barrier strips ⋮ An application of A-mapping theory to boundary value problems for ordinary differential equations

Cites Work

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• Periodic solutions of nonlinear second-order differential equations which are not solvable for the highest derivative
• Fredholm theory for abstract and differential equations with noncompact nonlinear perturbations of Fredholm maps
• Eine Existenzaussage für asymptotisch lineare Störungen eines Fredholmoperators mit Index 0
• On forced nonlinear oscillations
• Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces
• An extension of a theorem of A. C. Lazer on forced nonlinear oscillations
• Using degree theory for densely defined A-proper maps in the solvability of semilinear equations with unbounded and noninvertible linear part
• On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings

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