Positive solution to the nonlinear abstract Hammerstein equation and applications to-Laplacian BVPs
A Benmezaï, S Mechrouk - Nonlinear Differential Equations and …, 2013 - Springer
A Benmezaï, S Mechrouk
Nonlinear Differential Equations and Applications NoDEA, 2013•SpringerWe provide in this paper existence results for positive solution to the abstract Hammerstein
equation NFu= u where N: E→ E is a completely continuous operator, F: C→ C is a
continuous and bounded map and C is a cone in the Banach space E. The obtained results
are used to prove existence results for positive solution to ϕ-Laplacian boundary value
problem.
equation NFu= u where N: E→ E is a completely continuous operator, F: C→ C is a
continuous and bounded map and C is a cone in the Banach space E. The obtained results
are used to prove existence results for positive solution to ϕ-Laplacian boundary value
problem.
Abstract
We provide in this paper existence results for positive solution to the abstract Hammerstein equation NFu = u where N : E → E is a completely continuous operator, F : C → C is a continuous and bounded map and C is a cone in the Banach space E. The obtained results are used to prove existence results for positive solution to -Laplacian boundary value problem.
Springer