On end-point boundary value problems

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS

In this work the collocation method based on quartic B-spline is developed and applied to two-point boundary value problem in ordinary diferential equations. The error analysis and convergence of presented method is discussed. The method illustrated by two test examples which verify that the presented method is applicable and considerable accurate.

Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...

Higher order multi-point fractional boundary value problems with integral boundary conditions

In this paper, we concerned with positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed...

Twin n-point boundary value problems

We establish the existence of positive solutions to twin time-scale problems given by the dynamic equation −u∆∇(t) = ηa(t)f(u(t)), t ∈ (t1, tn) ⊂ T with boundary conditions u(t1) = n−1 ∑ i=2 αiu(ti), u(tn) = 0, or u(t1) = 0, u(tn) = n−1 ∑ i=2 αiu(ti), using a functional-type cone expansion-compression fixed point theorem.