On the use of time-maps for the solvability of nonlinear boundary value problems
From MaRDI portal
Publication:1203562
DOI10.1007/BF01197322zbMath0766.34012OpenAlexW2072641867MaRDI QIDQ1203562
Fabio Zanolin, Alessandro Fonda
Publication date: 10 February 1993
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01197322
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25)
Related Items
Existence and multiplicity of periodic solutions of the second order Liénard equation with Lipschtzian condition ⋮ Periodic solutions of Rayleigh equations with singularities ⋮ Subharmonic solutions of second order nonlinear equations: a time-map approach ⋮ Periodic oscillations for a nonlinear suspension bridge model ⋮ A continuation theorem for periodic boundary value problems with oscillatory nonlinearities ⋮ Harmonic and subharmonic solutions of quadratic Liénard type systems with sublinearity ⋮ A systematic approach to nonresonance conditions for periodically forced planar Hamiltonian systems ⋮ Time-mappings and multiplicity of solutions for the one-dimensional p-Laplacian ⋮ Periodic solutions of second order equations with asymptotical non-resonance ⋮ Periodic solutions of sublinear Liénard differential equations ⋮ Periodic solutions of Rayleigh equations via time-maps ⋮ Periodic solutions of discontinuous second order differential equations. The porpoising effect ⋮ A continuation lemma and its applications to periodic solutions of Rayleigh differential equations with subquadratic potential conditions ⋮ A nonresonance condition for radial solutions of a nonlinear Neumann elliptic problem ⋮ Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance ⋮ On periodic solutions of a nonlinear singular differential equation ⋮ Periodic solutions of Duffing's equations with superquadratic potential ⋮ On the Existence of Periodic Solutions for Scalar Second Order Differential Equations when only the Asymptotic Behaviour of the Potential is Known ⋮ Periodic solutions of Liénard differential equations with subquadratic potential conditions ⋮ Existence of solutions for a semilinear two-point boundary value problem ⋮ Nonresonance conditions on the potential for a semilinear Dirichlet problem ⋮ Time-map techniques for some boundary value problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and multiplicity results for periodic solutions of semilinear Duffing equations
- On the solvability of a semilinear two-point BVP around the first eigenvalue
- Periodic solutions of some forced Liénard differential equations at resonance
- On periodic solutions of sublinear Duffing equations
- Nonresonance below the first eigenvalue for a semilinear elliptic problem
- Periodic solutions of a second-order differential equation with one-sided growth restrictions on the restoring term
- Periodic solutions for systems of second order differential equations
- Critical point theory and Hamiltonian systems
- Coincidence degree, and nonlinear differential equations
- Periodic solutions of a forced nonlinear oscillator involving a onesided restoring force
- Periodic solutions of the Liénard equation with one-sided growth restrictions
- Sur l'existence des solutions périodiques de l'équation différentielle x + f(x,x')x' + g(x) = p(t)
- Boundary-value problems for weakly nonlinear ordinary differential equations