Resonant Problems by Quasilinearization | Zendy

Nadezhda Sveikate | Zendy

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Resonant Problems by Quasilinearization

Author(s) -

Nadezhda Sveikate

Publication year - 2014

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2014/564914

Subject(s) - mathematics , boundary value problem , domain (mathematical analysis) , dirichlet distribution , value (mathematics) , nonlinear system , boundary (topology) , dirichlet boundary condition , algorithm , mathematical analysis , boundary values , statistics , physics , quantum mechanics

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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