Unbounded solutions for singular boundary value problems on the semi-infinite interval: Upper and lower solutions and multiplicity

The Multiplicity of Solutions in Non-homogeneous Boundary Value Problems the Multiplicity of Solutions in Non-homogeneous Boundary Value Problems

We use a method recently devised by Bolle B] to establish the existence of an innnite number of solutions for various non-homogeneous boundary value problems. In particular, we consider second order systems, Hamiltonian systems as well as semi-linear partial diierential equations. The non-homogeneity can originate in the equation but also from the boundary conditions. The results are much more ...

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.

Solutions of Nonlinear Singular Boundary Value Problems

We study the existence of solutions to a class of problems u + f(t, u) = 0, u(0) = u(1) = 0, where f(t, ·) is allowed to be singular at t = 0, t = 1.

Periodic Boundary Value Problems and Periodic Solutions of Second Order FDE with Upper and Lower Solutions∗

We use the monotone iterative technique with upper and lower solutions in reversed order to obtain two monotone sequences that converge uniformly to extremal solutions of second order periodic boundary value problems and periodic solutions of functional differential equations(FDEs).

Positive Solutions of Sturm-Liouville Boundary Value Problems in Presence of Upper and Lower Solutions