
doi: 10.1155/2014/564914
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 domainΩand if solutions of the quasilinear problem are inΩ, 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.
Emden-Fowler type resonant boundary value problem, Nonlinear boundary value problems for ordinary differential equations, QA1-939, Mathematics, Theoretical approximation of solutions to ordinary differential equations
Emden-Fowler type resonant boundary value problem, Nonlinear boundary value problems for ordinary differential equations, QA1-939, Mathematics, Theoretical approximation of solutions to ordinary differential equations
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