Abstract
We treat the nonhomogeneous boundary value problems with ϕ-Laplacian operator , , , , where ( ) is an increasing homeomorphism such that , , , , , and is continuous. We will show that even if some of the τ and are negative, the boundary value problem with singular ϕ-Laplacian operator is always solvable, and the problem with a bounded ϕ-Laplacian operator has at least one positive solution.
Highlights
We are concerned with the nonhomogeneous boundary value problem with φ-Laplacian operator
If the coefficient occurring in the boundary conditions takes a negative value, the existence of a positive solution for a BVP with φ-Laplacian operator is less considered because it is sometimes difficult to construct a corresponding cone for applying the fixed point theorem
The purpose of this paper is to study the nonhomogeneous boundary value problem ( . ) with φ-Laplacian operator even in the case where some of the τ and τi are negative
Summary
We treat the nonhomogeneous boundary value problems with φ-Laplacian operator (φ(u (t))) = –f (t, u(t), u (t)), t ∈ (0, T), u(0) = A, φ(u (T)) = τ u(T) + We are concerned with the nonhomogeneous boundary value problem with φ-Laplacian operator The various boundary value problems are reduced to the search for fixed point of some nonlinear operators defined on Banach spaces.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
