Nontrivial solutions on a kind of fourth-order Neumann boundary value problems

DOI10.1016/j.amc.2011.12.072zbMath1259.65123OpenAlexW2091501580MaRDI QIDQ434667

Yingchen Yang, Ji Hui Zhang

Publication date: 16 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.072

zbMATH Keywords

Green's functioncritical groupsMorse theoryvariational formulationNeumann boundary conditionsLyapunov-Schmidt reductionfourth-order ordinary differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (5)

Sign-changing solutions to discrete fourth-order Neumann boundary value problems ⋮ Unnamed Item ⋮ Quantitative statistical stability, speed of convergence to equilibrium and partially hyperbolic skew products ⋮ New boundary value problems for higher order impulsive fractional differential equations and their solvability ⋮ A survey and new investigation on \((n,n-k)\)-type boundary value problems for higher order impulsive fractional differential equations

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