Monotone heteroclinic solutions to non-autonomous equations via phase plane analysis
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Publication:628703
DOI10.1007/s00030-010-0085-yzbMath1218.34052OpenAlexW2054933941MaRDI QIDQ628703
Publication date: 14 March 2011
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-010-0085-y
Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40)
Related Items (7)
Multiple homoclinic solutions for a one-dimensional Schrödinger equation ⋮ Existence of heteroclinic solutions for the prescribed curvature equation ⋮ Existence of saddle-type solutions for a class of quasilinear problems in \(\mathbb{R}^2\) ⋮ Homoclinic and heteroclinic solutions for a class of second-order non-autonomous ordinary differential equations: multiplicity results for stepwise potentials ⋮ Heteroclinic connections for a double-well potential with an asymptotically periodic coefficient ⋮ Existence of heteroclinic solution for a class of non-autonomous second-order equation ⋮ Existence of heteroclinic solutions for a class of problems involving the fractional Laplacian
Cites Work
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- On the existence of heteroclinic trajectories for asymptotically autonomous equations
- Homoclinic and heteroclinic orbits for a class of Hamiltonian systems
- Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
- Existence and multiplicity results for heteroclinic orbits of second order Hamiltonian systems
- Heteroclinic Solutions to Asymptotically Autonomous Equations via Continuation Methods
- On a class of bounded trajectories for some non-autonomous systems
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