Least-squares solutions of boundary-value problems in hybrid systems

Wavelet Least Squares Methods for Boundary Value Problems

Existence of multiple solutions for Sturm-Liouville boundary value problems

In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.

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...

Positive Solutions for Systems of Coupled Fractional Boundary Value Problems

We investigate the existence and nonexistence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with coupled integral boundary conditions which contain some positive constants.

Multiple Solutions for Systems of Multi-point Boundary Value Problems

where pi > 1 and φpi(t) = |t|pi−2t for i = 1, . . . , n, λ is a positive parameter, m, n ≥ 1 are integers, aj , bj ∈ R for j = 1, . . . ,m, and 0 < x1 < x2 < x3 < . . . < xm < 1. Here, F : [0, 1] × R → R is a function such that the mapping (t1, t2, . . . , tn) → F (x, t1, t2, . . . , tn) is in C in R for all x ∈ [0, 1], Fti is continuous in [0, 1]× R for i = 1, . . . , n, where Fti denotes the ...