Multiplicity of Solutions of Nonlinear Boundary Value Problems

DOI10.1137/0517093zbMath0615.34011OpenAlexW2095402487MaRDI QIDQ4724081

D. C. Hart, Patrick J. McKenna, Alan C. Lazer

Publication date: 1986

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0517093

zbMATH Keywords

Dirichlet problemphase plane analysisbifurcationsmultiple solutionsjumping nonlinearitiesscalingNeumann problemsecond order differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (11)

Jumping nonlinearities for neumann BVPs with positive forcing ⋮ Large scale oscillatory behaviour in loaded asymmetric systems ⋮ A symmetry theorem and applications to nonlinear partial differential equations ⋮ Multiplicity of solutions of a nonlinear boundary problem with homogeneous neumann boundary conditions ⋮ Existence of small solutions to a resonant boundary value problem with large nonlinearity ⋮ Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities ⋮ Multiplicity of solutions for two-point boundary value problems with asymptotically asymmetric nonlinearities ⋮ On multiple solutions of a nonlinear Neumann problem ⋮ On the number of \(2\pi\)-periodic solutions for \(u+g(u)=s(1+h(t))\) using the Poincaré-Birkhoff theorem ⋮ An efficient pseudo-spectral method for nonsmooth dynamical systems ⋮ Multiplicity results for a Neumann problem involving the \(p\)-Laplacian.

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