Positive Solutions for Multiparameter Semipositone Discrete Boundary Value Problems via Variational Method

Positive Solutions for Multiparameter Semipositone Discrete Boundary Value Problems via Variational Method

Positive Solutions for Second-Order Singular Semipositone Boundary Value Problems

which arises in many different areas of applied mathematics and physics. Singular problems of this type that the nonlinearity g may change sign are referred to as singular semipositone problems in the literature. Motivated by BVP (1.1), this paper presents the existence results of the following second-order singular semipositone boundary value problem: { u ′′ + f(t, u) + g(t, u) = 0, 0 < t < 1,...

Positive Solutions To Nonlinear Semipositone Boundary Value Problems

In this paper, we investigate the following third-order three-point semipositone boundary value problems: ( ) ( , ) 0, (0,1); (0) ( ) (1) 0, u t f t u t

Positive Symmetric Solutions of Singular Semipositone Boundary Value Problems

Using the method of upper and lower solutions, we prove that the singular boundary value problem, −u = f(u) u in (0, 1), u(0) = 0 = u(1) , has a positive solution when 0 < α < 1 and f : R → R is an appropriate nonlinearity that is bounded below; in particular, we allow f to satisfy the semipositone condition f(0) < 0. The main difficulty of this approach is obtaining a positive subsolution, whi...

Positive Solutions for a Class of Semipositone Discrete Boundary Value Problems with Two Parameters

In this paper, the existence, multiplicity and noexistence of positive solutions for a class of semipositone discrete boundary value problems with two parameters is studied by applying nonsmooth critical point theory and sub-super solutions method. Keywords—Discrete boundary value problems, nonsmooth critical point theory, positive solutions, semipositone, sub-super solutions method