Fourth-order four-point boundary value problem on time scales

Fourth-order four-point boundary value problem on time scales

and Applied Analysis 3 Using the initial conditions 2.3 , we can deduce from 2.2 for φ and ψ the following equations: φ t η ζ t − ξ1 ∫ t ξ1 ∫ τ ξ1 q s φ σ s ΔsΔτ, 2.5

Existence of Solutions for Fourth-Order Four-Point Boundary Value Problem on Time Scales

Triple positive solutions of $m$-point boundary value problem on time scales with $p$-Laplacian

‎In this paper‎, ‎we consider the multipoint boundary value problem for one-dimensional $p$-Laplacian‎ ‎dynamic equation on time scales‎. ‎We prove the existence at least three positive solutions of the boundary‎ ‎value problem by using the Avery and Peterson fixed point theorem‎. ‎The interesting point is that the non-linear term $f$ involves a first-order derivative explicitly‎. ‎Our results ...

Triple Positive Solutions of Fourth-Order Four-Point Boundary Value Problems for p-Laplacian Dynamic Equations on Time Scales

Recently, there have beenmany papersworking on the existence of positive solutions to boundary value problems for differential equations on time scales see, e.g., 1–4 and the references therein . This has been mainly due to their unification of the theory of differential and difference equations. An introduction to this unification is given in 5 . Now, this study is still a new area of fairly t...

Fourth-Order Four-Point Boundary Value Problem: A Solutions Funnel Approach

We investigate the existence of positive or a negative solution of several classes of fourpoint boundary-value problems for fourth-order ordinary differential equations. Although these problems do not always admit a positive Green’s function, the obtained solution is still of definite sign. Furthermore, we prove the existence of an entire continuum of solutions. Our technique relies on the cont...