resonant problems by quasilinearization

Clicks: 126
ID: 128870
2014
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Ranked #19 of 42 articles by views in Biological reviews of the Cambridge Philosophical Society

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Abstract
The Dirichlet resonant boundary value problems are considered. If the respective nonlinear equation can be reduced to a quasilinear one with a nonresonant linear part and both equations are equivalent in some domain Ω and if solutions of the quasilinear problem are in Ω, then the original problem has a solution. We say then that the original problem allows for quasilinearization. If quasilinearization is possible for essentially different linear parts, then the original problem has multiple solutions. We give conditions for Emden-Fowler type resonant boundary value problem solvability and consider examples.
Reference Key
sveikate2014internationalresonant Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Nadezhda Sveikate
Journal Biological reviews of the Cambridge Philosophical Society
Year 2014
DOI
10.1155/2014/564914
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