Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838469 | Nonlinear Analysis: Real World Applications | 2007 | 13 Pages |
Abstract
We consider the differential equation -(1/w)(pu′)′+μu=Fu-(1/w)(pu′)′+μu=Fu, where F is a nonlinear operator, with nonlinear boundary conditions. Under appropriate assumptions on p,w,Fp,w,F and the boundary conditions, the existence of solutions is established. If the problem has a lower solution and an upper solution, then we use a quasilinearization method to obtain two monotonic sequences of approximate solutions converging quadratically to a solution of the equation.
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Authors
Mohamed El-Gebeily, Donal O’Regan,