Positive periodic solutions of second order nonlinear equations with indefinite weight: multiplicity results and complex dynamics
From MaRDI portal
Publication:656194
DOI10.1016/j.jde.2011.09.010zbMath1237.34076OpenAlexW2055722004MaRDI QIDQ656194
Fabio Zanolin, Alberto Boscaggin
Publication date: 16 January 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2011.09.010
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Complex behavior and chaotic systems of ordinary differential equations (34C28)
Related Items (12)
A class of nonlocal indefinite differential systems ⋮ A class of second-order nonlocal indefinite impulsive differential systems ⋮ Multiple positive solutions to elliptic boundary blow-up problems ⋮ Indefinite weight nonlinear problems with Neumann boundary conditions ⋮ Positive subharmonic solutions to superlinear ODEs with indefinite weight ⋮ Positive solutions for super-sublinear indefinite problems: High multiplicity results via coincidence degree ⋮ Multi-parameter second-order impulsive indefinite boundary value problems ⋮ Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight ⋮ A general result to the existence of a periodic solution to an indefinite equation with a weak singularity ⋮ Existence and multiplicity of periodic solutions to indefinite singular equations having a non-monotone term with two singularities ⋮ Second-order ordinary differential equations with indefinite weight: the Neumann boundary value problem ⋮ Positive solutions with a complex behavior for superlinear indefinite ODEs on the real line
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight
- A geometric method for detecting chaotic dynamics
- Chaotic dynamics in periodically forced asymmetric ordinary differential equations
- Rapid oscillation, non-extendability and the existence of periodic solutions to second order nonlinear ordinary differential equations
- Finding a horseshoe on the beaches of Rio
- A Fredholm-like result for strongly nonlinear second order ODE's
- Fixed point index for iterations of maps, topological horseshoe and chaos
- The effect of varying coefficients on the dynamics of a class of superlinear indefinite reaction-diffusion equations
- A topological approach to superlinear indefinite boundary value problems
- Superlinear indefinite equations on the real line and chaotic dynamics
- Covering relations for multidimensional dynamical systems
- A geometric criterion for positive topological entropy
- Dual variational methods in critical point theory and applications
- Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimen\-sional cells
- Example of a suspension bridge ODE model exhibiting chaotic dynamics: a topological approach
- Multiple positive solutions of superlinear elliptic problems with sign-changing weight
- On the number of solutions of nonlinear equations in ordered Banach spaces
- Topological horseshoes
- On the Definition of Chaos
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- On the Periodic Boundary Value Problem and Chaotic-like Dynamics for Nonlinear Hill’s Equations
- Horseshoes and the Conley index spectrum
- Oscillating solutions to second-order ODEs with indefinite superlinear nonlinearities
- On the Existence of Positive Solutions of Semilinear Elliptic Equations
- A Seven-Positive-Solutions Theorem for a Superlinear Problem
- CHAOTIC DYNAMICS FOR MAPS IN ONE AND TWO DIMENSIONS: A GEOMETRICAL METHOD AND APPLICATIONS TO ECONOMICS
- Chaos in the Lorenz equations: A computer assisted proof. III: Classical parameter values
This page was built for publication: Positive periodic solutions of second order nonlinear equations with indefinite weight: multiplicity results and complex dynamics
