23 research outputs found
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
Three-point boundary value problems with delta Riemann-Liouville fractional derivative on time scales
In this paper, we establish the criteria for the existence and uniqueness of solutions of a three-point boundary value problem for a class of fractional differential equations on time
scales. By using some well known fixed point theorems, sufficient conditions for the existence of solutions are established. An illustrative example is also presented
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
Existence of positive solutions for nonlinear three-point problems on time scales
In this paper, by using fixed point theorems in cones, we study the existence of at least one, two and three positive solutions of a nonlinear second-order three-point boundary value problem for dynamic equations on time scales. As an application, we also give some examples to demonstrate our results. © 2006 Elsevier B.V. All rights reserved
Single and multiple positive solutions for nonlinear discrete problems
In this paper, we discuss the existence of single and multiple positive solutions to the nonlinear second order discrete three-point boundary value problems. To prove the main results, we will use the well-known result of the fixed point theorems in cones
Positive solutions for even-order multi-point boundary value problems on time scales
In this paper, we consider the nonlinear even-order m-point boundary value problems on time scales. We establish the criteria for the existence of at least one and three positive solutions for higher order nonlinear m-point boundary value problems on time scales by using Krasnosel’skii’s fixed point theorem and Leggett-Williams’ fixed point theorem, respectively. © 2017, Springer International Publishing. All rights reserved