Resonant Problems by Quasilinearization

Nadezhda Sveikate

International Journal of Differential Equations, 2014, vol. 2014, 1-8

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 and if solutions of the quasilinear problem are in , 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:564914

DOI: 10.1155/2014/564914

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