POSITIVE SOLUTIONS OF NONLOCAL SINGULAR BOUNDARY VALUE PROBLEMS

Positive solutions for singular third-order nonhomogeneous boundary value problems with nonlocal boundary conditions

Under various weaker conditions, we establish various results on the existence and nonexistence of positive solutions for singular third-order nonhomogeneous boundary value problems with nonlocal boundary conditions. The arguments are based upon the fixed point theorem of cone expansion and compression. Finally, we give two examples to demonstrate our results. Key–Words: Positive solutions, Fix...

Positive Solutions of Some Higher Order Nonlocal Boundary Value Problems

We show how a unified method, due to Webb and Infante, of tackling many nonlocal boundary value problems, can be applied to nonlocal versions of some recently studied higher order boundary value problems. In particular, we give some explicit examples and calculate the constants that are required by the theory.

Positive Solutions of Some Nonlocal Boundary Value Problems

Positive Solutions and Eigenvalues of Nonlocal Boundary-value Problems

We study the ordinary differential equation x′′ + λa(t)f(x) = 0 with the boundary conditions x(0) = 0 and x′(1) = R 1 η x ′(s)dg(s). We characterize values of λ for which boundary-value problem has a positive solution. Also we find appropriate intervals for λ so that there are two positive solutions.

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.