Existence of positive solutions for higher order three-point boundary value problems on time scales

In this paper, by using the four functionals fixed point theorem, Avery-Henderson fixed point theorem and the five functionals fixed point theorem, respectively, we investigate the conditions for the existence of at least one, two and three positive solutions to nonlinear higher order three-point boundary value problems on time scales

Positive solutions for multi point impulsive boundary value problems on time scales

In this paper, we consider nonlinear second-order multi-point impulsive boundary value problems on time scales. We establish the criteria for the existence of at least one, two and three positive solutions by using the Leray-Schauder fixed point theorem, the Avery-Henderson fixed point theorem and the five functional fixed point theorem, respectively. An example that supports the theoretical results is also provided

Higher order m-point boundary value problems on time scales

In this paper, we investigate the existence of positive solutions for nonlinear even-order m-point boundary value problems on time scales by means of fixed point theorems. © 2011 Elsevier Ltd. All rights reserved

Existence results for solutions of boundary value problems on infinite intervals

In this paper, we consider boundary value problems for nonlinear differential equations in the Hilbert space L2 (0;infinity) and L2 (-infinity;infinity) . Using the Schauder fixed point theorem, the existence results for solutions of the considered boundary value problems are established

Boundary value problems for second order nonlinear differential equations on infinite intervals

In this paper, we consider boundary value problems for nonlinear differential equations on the semi-axis (0,∞) and also on the whole axis (−∞,∞), under the assumption that the left-hand side being a second order linear differential expression belongs to the Weyl limit-circle case. The boundary value problems are considered in the Hilbert spaces L2(0,∞) and L2(−∞,∞), and include boundary conditions at infinity. The existence and uniqueness results for solutions of the considered boundary value problems are established

Positive solutions for nonlinear first-order m-point boundary value problem on time scales

By means of fixed-point theorems, we investigate the existence of positive solutions for nonlinear first-order m -point boundary value problem x Δ (t) + a (t) x (σ (t)) = f (t, x (σ (t))), t [ t 1, t m ] ⊂ , x (t 1) = k = 2 m - 1 α k x (t k) + α 1 x (σ (t m)), where is a time scale, 0 ≤ t 1 < t 2 < < t m - 1 < t m, α 1, α 2,., α m - 1 ≥ 0 are given constants. © 2012 Ismail Yaslan