resonant problems by quasilinearization

resonant problems by quasilinearization

;Nadezhda Sveikate
Biological reviews of the Cambridge Philosophical Society 2014 Vol. 2014 pp. -
113
sveikate2014internationalresonant

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.

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128870
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10.1155/2014/564914
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