Existence theorems for nonlinear boundary value problems at resonance

Existence results for a coupled system of nonlinear fractional three-point boundary value problems at resonance

where 2 < a, b ≤ 3, 0 < ξ1 <... < ξm <1, 0 < h1 <... < hm <1, 0 <g1 <... < gm <1, 0 < δ1 <... < δm <1, ai, bi, cj, dj Î R, f, g : [0, 1] × R 3 ® R, f, g satisfies Carathéodory conditions, Dα0+ and I α 0+ are the standard Riemann-Liouville fractional derivative and fractional integral, respectively. Wang et al. Advances in Difference Equations 2011, 2011:44 http://www.advancesindifferenceequatio...

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 Theorems for Nonselfadjoint Semilinear Elliptic Boundary Value Problems

where E is a real elliptic linear differential operator in a bounded domain G of R” with a given system of linear homogeneous conditions, say, BX = 0 on the boundary aG of G and where N is a Nemitsky type nonnecessarily linear operator. We shall make use here of the alternative method, and particularly we shall make use for the elliptic case of new remarks. These remarks suggest that both the a...

Existence-Uniqueness Theorems for Three-Point Boundary Value Problems for nth-Order Nonlinear Differential Equations

where 01, ,l3, y and the x’s are real. It will be assumed throughout this paper that f (t, Ul , u, ,.-., un) is continuous on [CX, r] x R”. The approach taken here is similar to that of Barr and Sherman [I] and is based on the use of a solutionmatching technique that assumes existence and/or uniqueness of solutions to corresponding problems for the subintervals [cu, ,Kj and [p, y]. We refer to ...

Nonlinear Discrete Periodic Boundary Value Problems at Resonance