A discrete boundary value problem with parameters in Banach space

A Discrete Boundary Value Problem in Banach Spaces

In this paper we present existence theorems for the second order discrete boundary value problem in Banach spaces under weaker conditions we have known. We suppose the weak sequential continuity and some conditions expressed in terms of the measure of weak noncompactness.

Solvability for a discrete fractional mixed type sum-difference equation boundary value problem in a Banach space

Sequential Competitive Facility Location Problem in a Discrete Planar Space

In this paper, there are two competitors in a planar market. The first competitor, called, the leader, opens new facilities. After that, the second competitor, the follower, reacts to the leader’s action and opens r new facilities. The leader and the follower have got some facilities in advance in this market. The optimal locations for leader and follower are chosen among predefined candida...

Positive Solutions for Multipoint Boundary-value Problem with Parameters

In this paper, we study a generalized Sturm-Liouville boundaryvalue problems with two positive parameters. By constructing a completely continuous operator and combining fixed point index theorem and some properties of the eigenvalues of linear operators, we obtain sufficient conditions for the existence of at least one positive solution.

A Note on a Fourth Order Discrete Boundary Value Problem

Using variational methods we investigate the existence of solutions and their dependence on parameters for certain fourth order difference equations.