Homoclinic and heteroclinic solutions for a class of second-order non-autonomous ordinary differential equations: multiplicity results for stepwise potentials

DOI10.1186/1687-2770-2013-167zbMath1297.34060OpenAlexW2098771155WikidataQ59299715 ScholiaQ59299715MaRDI QIDQ2251322

Fabio Zanolin, Elisa Ellero

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-167

zbMATH Keywords

multiplicitynonlinear Schrödinger equationhomoclinic solutionstopological methodsheteroclinic solutionsstepwise potential

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (6)

Multiple homoclinic solutions for a one-dimensional Schrödinger equation ⋮ Multiple positive solutions to elliptic boundary blow-up problems ⋮ Homoclinic and heteroclinic solutions for non-autonomous Minkowski-curvature equations ⋮ On boundary value problem for equations with cubic nonlinearity and step-wise coefficient ⋮ Heteroclinic and homoclinic solutions for nonlinear second-order coupled systems with \(\phi\)-Laplacians ⋮ Boundary value problems for Liénard-type equations with quadratic dependence on the ``velocity

Cites Work

• Monotone heteroclinic solutions to non-autonomous equations via phase plane analysis
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• Semiclassical states of nonlinear Schrödinger equations
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• Jacobi Elliptic Functions from a Dynamical Systems Point of View
• Wave-Block in Excitable Media Due to Regions of Depressed Excitability
• Bifurcation of asymmetric solutions in nonlinear optical media

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