Index theory for linear self-adjoint operator equations and nontrivial solutions for asymptotically linear operator equations

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dc.creatorDong, Yujun
dc.date2007-05-13
dc.date.accessioned2026-07-07T08:01:19Z
dc.date.available2026-07-07T08:01:19Z
dc.descriptionWe will first establish an index theory for linear self-adjoint operator equations. And then with the help of this index theory we will discuss existence and multiplicity of solutions for asymptotically linear operator equations by making use of the dual variational methods and Morse theory. Finally, some interesting examples concerning second order Hamiltonian systems, first order Hamiltonian systems and elliptical partial differential equations will be presented to illustrate our results.
dc.identifierhttps://arxiv.org/abs/0705.1811
dc.identifierhttp://arxiv.org/abs/0705.1811
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128876
dc.subjectClassical Analysis and ODEs
dc.titleIndex theory for linear self-adjoint operator equations and nontrivial solutions for asymptotically linear operator equations
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