Two point boundary value problems for second order ordinary differential equations across many resonant points

DOI10.1006/jmaa.1993.1335zbMath0790.34025OpenAlexW2079928002MaRDI QIDQ1312725

Huaizhong Wang, Yong Li

Publication date: 22 June 1994

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

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1335

zbMATH Keywords

existenceuniquenesstwo point boundary value problemmany resonant points

Mathematics Subject Classification ID

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

Related Items (12)

Lyapunov-type inequalities and solvability of second-order ODEs across multi-resonance ⋮ Second boundary value problems for nonlinear ordinary differential equations across resonance ⋮ An optimal class of non-degenerate potentials for second-order ordinary differential equations ⋮ Minimization of eigenvalues and construction of non-degenerate potentials for the one-dimensional \(p\)-Laplacian ⋮ Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues ⋮ Neumann problems for second order ordinary differential equations across resonance ⋮ Sturm-Liouville problem for second order ordinary differential equations across resonance ⋮ On equivalent conditions for the solvability of the equation \((p(t)x')'+f(t,x)=h(t)\) satisfying linear boundary conditions with \(f\) restricted by linear growth conditions ⋮ Optimal control approach to stability criteria on Hill's equations ⋮ Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations ⋮ Two-point boundary value problems for Duffing equations across resonance ⋮ On the solvability of asymptotically positively homogeneous equations with Sturm-Liouville boundary value conditions

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