MULTIPLE POSITIVE SOLUTIONS OF SINGULAR POSITONE DIRICHLET PROBLEMS WITH DERIVATIVE DEPENDENCE

On Multiple Positive Solutions of Positone and Non-positone Problems

In this paper, we consider the following problem: − u= f (u) in , u= 0 on ∂ , (1.1) where is the ball BR = {x ∈ R ; |x| < R}, | · | is the Euclidean norm in R, and f : R+ → R is a locally Lipschitzian continuous function. We are concerned with two classes of problems, namely, (i) the positone problem: f (0)≥ 0; (ii) the non-positone problem: f (0) < 0. The study of positone problems was initiat...

Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence

Multiple Positive Solutions for Singular Boundary-value Problems with Derivative Dependence on Finite and Infinite Intervals

In this paper, Krasnoselskii’s theorem and the fixed point theorem of cone expansion and compression are improved. Using the results obtained, we establish the existence of multiple positive solutions for the singular second-order boundary-value problems with derivative dependance on finite and infinite intervals.

Multiple Positive Solutions for Singular Semi-positone Delay Differential Equation

In this paper, we obtain new existence results for multiple positive solutions of a delay singular differential boundary-value problem. Our main tool is the fixed point index method.

Positive solutions for singular nonlocal boundary value problems involving integral conditions with derivative dependence

In this paper using a fixed point theory on a cone we present some new results on the existence of multiple positive solutions for singular nonlocal boundary value problems involving integral conditions with derivative dependence.