Positive periodic solutions of Hill's equations with singular nonlinear perturbations
From MaRDI portal
Publication:929655
DOI10.1016/J.NA.2007.05.016zbMath1148.34025OpenAlexW1969786511MaRDI QIDQ929655
Publication date: 18 June 2008
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2007.05.016
positive periodic solutionLeray-Schauder principleHill equationweak singularitystrong singularityfixed point theorems in cones
Periodic solutions to ordinary differential equations (34C25) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Singular nonlinear boundary value problems for ordinary differential equations (34B16)
Related Items (25)
Multiplicity of positive periodic solutions of Rayleigh equations with singularities ⋮ Subharmonic solutions of Hill's equation ⋮ Positive periodic solutions of second-order differential equations with weak singularities ⋮ Multiplicity results for second order non-autonomous singular Dirichlet systems ⋮ Existence for singular periodic problems: a survey of recent results ⋮ Application of Mawhin's coincidence degree and matrix spectral theory to a delayed system ⋮ Multiple positive doubly periodic solutions for a singular semipositone telegraph equation with a parameter ⋮ Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the antarctic circumpolar current ⋮ Positive periodic solution for second-order singular semipositone differential equations ⋮ Positive solutions for nonlinear differential equations with periodic boundary condition ⋮ Triple positive periodic solutions of nonlinear singular second-order boundary value problems ⋮ Positive periodic solution to an indefinite singular equation ⋮ Periodic solutions to the Liénard type equations with phase attractive singularities ⋮ Positive periodic solutions of second-order difference equations with weak singularities ⋮ Existence of positive periodic solutions of second-order differential equations with weak singularities ⋮ Periodic solutions for second order singular damped differential equations ⋮ PERIODIC SOLUTION OF CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS: VIA TOPOLOGICAL DEGREE THEORY AND MATRIX SPECTRAL THEORY ⋮ Existence and multiplicity results for nonlinear differential equations depending on a parameter in semipositone case ⋮ Constant-sign solutions for systems of singular integral equations of Hammerstein type ⋮ Periodic solutions of radially symmetric systems with a singularity ⋮ Existence of positive periodic solutions for the Liénard differential equations with weakly repulsive singularity ⋮ PERIODIC SOLUTIONS OF SINGULAR DIFFERENTIAL EQUATIONS WITH SIGN-CHANGING POTENTIAL ⋮ On the existence of solutions for fractional differential inclusions with anti-periodic boundary conditions ⋮ Recent existence results for second-order singular periodic differential equations ⋮ Periodic solutions for second order damped boundary value problem with nonnegative Green's functions
Cites Work
- Infinitely many \(T\)-periodic solutions for a problem arising in nonlinear elasticity
- Weak singularities may help periodic solutions to exist
- Collisionless orbits of singular and non singular dynamical systems
- Forced singular oscillators and the method of lower and upper solutions
- Multiplicity of positive periodic solutions to superlinear repulsive singular equations
- Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
- T-periodic solutions for some second order differential equations with singularities
- A relationship between the periodic and the Dirichlet BVPs of singular differential equations
- Conservative Dynamical Systems Involving Strong Forces
- Higher order non‐resonance for differential equations with singularities
- A Lyapunov-type stability criterion using $L^\alpha $ norms
- On Periodic Solutions of Nonlinear Differential Equations with Singularities
- Periodic solutions of singular systems without the strong force condition
- Multiplicity of positive periodic solutions to second order differential equations
- Periodic Solutions of Equations of Emarkov-Pinney Type
- Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Positive periodic solutions of Hill's equations with singular nonlinear perturbations
