One-parameter families of Sturm-Liouville eigenfunctions and of periodic solutions for a class of nonlinear Hill's equations
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Publication:798490
DOI10.1016/0022-247X(83)90234-2zbMath0546.34018OpenAlexW1972210708MaRDI QIDQ798490
Publication date: 1983
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(83)90234-2
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Ordinary differential operators (34L99)
Related Items (4)
An Approximate solution for a class of non-linear hill's equations ⋮ A class of elliptic partial differential equations with exponential nonlinearities ⋮ A class of Orlicz-Sobolev spaces with applications to variational problems involving nonlinear Hill's equations ⋮ A class of Sturm-Liouville eigenvalue problems with polynomial and exponential nonlinearities
Cites Work
- Saddle points and multiple solutions of differential equations
- A class of Orlicz-Sobolev spaces with applications to variational problems involving nonlinear Hill's equations
- On boundary value problems for superlinear second order differential equations
- Periodic solutions of x+f(x,t)=0 via the Poincaré-Birkhoff theorem
- Lusternik-Schnirelman theory on Banach manifolds
- Some global results for nonlinear eigenvalue problems
- A class of Sturm-Liouville eigenvalue problems with polynomial and exponential nonlinearities
- On subharmonic solutions of hamiltonian systems
- Hamiltonian trajectories having prescribed minimal period
- Branches of periodic solutions of the nonlinear Hill's equation
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