CONTINUATION THEOREMS FOR AMBROSETTI-PRODI TYPE PERIODIC PROBLEMS
From MaRDI portal
Publication:4513336
DOI10.1142/S0219199700000074zbMath0963.34027OpenAlexW2023695483MaRDI QIDQ4513336
Fabio Zanolin, Carlota Rebelo, Jean Mawhin
Publication date: 14 November 2000
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199700000074
Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Fixed-point theorems (47H10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items (13)
Positive subharmonic solutions to superlinear ODEs with indefinite weight ⋮ Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators ⋮ Some results on the existence and multiplicity of Dirichlet type solutions for a singular equation coming from a Kepler problem on the sphere ⋮ A general result to the existence of a periodic solution to an indefinite equation with a weak singularity ⋮ Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian ⋮ Multiplicity of positive periodic solutions in the superlinear indefinite case via coincidence degree ⋮ Nonhomogeneous boundary value problems for some nonlinear equations with singular \(\phi\)-Laplacian ⋮ Connected Branches of Initial Points for Asymptotic BVPs, With Application to Heteroclinic and Homoclinic Solutions ⋮ Periodic Orbits of Radially Symmetric Systems with a Singularity: the Repulsive Case ⋮ Periodic solutions for a second-order differential equation with indefinite weak singularity ⋮ Periodic solutions to parameter-dependent equations with a \(\phi\)-Laplacian type operator ⋮ A singular periodic Ambrosetti–Prodi problem of Rayleigh equations without coercivity conditions ⋮ Rotating-symmetric solutions for nonlinear systems with symmetry
Cites Work
- Periodic solutions of second order differential equations with superlinear asymmetric nonlinearities
- Multiple solutions of anticoercive boundary value problems for a class of ordinary differential equations of second order
- Periodic solutions of some forced Liénard differential equations at resonance
- Co-bifurcating branches of solutions for nonlinear eigenvalue problems in Banach spaces
- On the connectivity properties of the solution set of parametrized families of compact vector fields
- Boundary value problems with jumping nonlinearities
- Large scale oscillatory behaviour in loaded asymmetric systems
- On the number of \(2\pi\)-periodic solutions for \(u+g(u)=s(1+h(t))\) using the Poincaré-Birkhoff theorem
- Periodic solutions of Duffing's equations with superquadratic potential
- Boundary value problems for nonlinear second-order vector differential equations
- Expension of some results concerning the generalized Lienard equation
- Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities
- A continuation approach to fourth order superlinear periodic boundary value problems
- A continuation approach to some forced superlinear Sturm-Liouville boundary value problems
- Landesman-Lazer conditions for periodic boundary value problems with asymmetric nonlinearities
- Branches of positive solutions for some semilinear Schrödinger equations
- Leray-Schauder continuation theorems in the absence of a priori bounds
- Global bifurcation of periodic solutions to ordinary differential equations
- Multiple periodic solutions of second order equations with asymmetric nonlinearities
- On the inversion of some differentiable mappings with singularities between Banach spaces
- A continuation theorem for periodic boundary value problems with oscillatory nonlinearities
- Oscillatory properties of solutions and nonlinear differential equations with periodic boundary conditions
- Global solution branches for positive mappings
- Some global results for nonlinear eigenvalue problems
- A continuation approach to superlinear periodic boundary value problems
- Subharmonic Solutions for Some Second-Order Differential Equations with Singularities
- Complementing maps, continuation and global bifurcation
- A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
- A note on continuation problems
- Continuation Theorems for Periodic Perturbations of Autonomous Systems
- Non-ordered lower and upper solutions in semilinear elliptic problems
- Topologie et équations fonctionnelles
- Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
This page was built for publication: CONTINUATION THEOREMS FOR AMBROSETTI-PRODI TYPE PERIODIC PROBLEMS
