Infinitely many solutions to fourth order superlinear periodic problems
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Publication:4813806
DOI10.1090/S0002-9947-03-03514-1zbMath1074.34047MaRDI QIDQ4813806
Monica Conti, Gianmaria Verzini, Susanna Terracini
Publication date: 13 August 2004
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)
Related Items (16)
Some results for fourth-order nonlinear differential equation with singularity ⋮ Positive periodic solutions for a class of fourth-order nonlinear differential equations ⋮ Infinitely many solutions to superlinear second order \(m\)-point boundary value problems ⋮ On the existence and non-existence of bounded solutions for a fourth order ODE ⋮ Existence and multiplicity of solutions to \(2m\)th-order ordinary differential equations ⋮ Periodic solutions of a class of fourth-order superlinear differential equations ⋮ A local minimax method using virtual geometric objects. II. For finding equality constrained saddles ⋮ Solvability and dependence on a parameter of a fourth-order periodic boundary value problem ⋮ Periodic solutions of some fourth-order nonlinear differential equations ⋮ Uniqueness of solutions for fourth-order nonlocal boundary value problems ⋮ A monotone method for fourth order value problems involving a factorizable linear operator ⋮ Multiplicity results of positive solutions for fourth-order nonlinear differential equation with singularity ⋮ Global bifurcation for fourth-order differential equations with periodic boundary-value conditions ⋮ Existence of solutions to a discrete fourth order periodic boundary value problem ⋮ Nontrivial solutions of a fully fourth-order periodic boundary value problem ⋮ Global bifurcation for 2\(m\)th-order boundary value problems and infinitely many solutions of superlinear problems
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