On the solvability of a Neumann boundary value problem for the differential equation \(f(t,x,x',x)=0\)

DOI10.1186/1687-2770-2012-77zbMath1279.34035OpenAlexW2021797549WikidataQ59289038 ScholiaQ59289038MaRDI QIDQ377684

Panos K. Palamides, Nedyu Iv. Popivanov, Petio S. Kelevedjiev

Publication date: 7 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-77

zbMATH Keywords

existenceNeumann boundary conditionsboundary value problemequation unsolved with respect to the second derivative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit ordinary differential equations, differential-algebraic equations (34A09)

Related Items

Second-order initial value problems with singularities ⋮ On a generalization of the Miranda theorem and its application to boundary value problems

Cites Work

• Neumann problems with time singularities
• Positive solutions for second-order superlinear repulsive singular Neumann boundary value problems
• Solvability of Neumann BV problems for nonlinear second-order ODEs which need not be solvable for the highest-order derivative
• Periodic solutions of nonlinear second-order differential equations which are not solvable for the highest derivative
• Solvability of various boundary value problems for the equation \(x=f(t,x,x',x)-y\)
• 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
• Existence results for equations involving noncompact perturbations of Fredholm mappings with applications to differential equations
• On a boundary value problem for the differential equation \(f(t,x,x',x)=0\)
• Two point boundary value problems for nonlinear differential equations
• On a singular boundary value problem for the differential equation \(f(t,x,x^{\prime },x^{\prime\prime })=0 \) using barrier strips
• Existence result for the problem (φ(u′))′ = f(t, u, u′) with periodic and Neumann boundary conditions

This page was built for publication: On the solvability of a Neumann boundary value problem for the differential equation \(f(t,x,x',x)=0\)