84,327 research outputs found
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
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 of three solutions for a first-order problem with nonlinear non-local boundary conditions
Conditions for the existence of at least three positive solutions to the
nonlinear first-order problem with a nonlinear nonlocal boundary condition
given by
&& y'(t) - p(t)y(t) = \sum_{i=1}^m f_i\big(t,y(t)\big), \quad t\in[0,1],
&& \lambda y(0) = y(1) + \sum_{j=1}^n \Phi_j(\tau_j,y(\tau_j)), \quad
\tau_j\in[0,1], are discussed, for sufficiently large . The
Leggett-Williams fixed point theorem is utilized.Comment: outline, 6 page
Variational approach to second-order impulsive dynamic equations on time scales
The aim of this paper is to employ variational techniques and critical point
theory to prove some conditions for the existence of solutions to nonlinear
impulsive dynamic equation with homogeneous Dirichlet boundary conditions. Also
we will be interested in the solutions of the impulsive nonlinear problem with
linear derivative dependence satisfying an impulsive condition.Comment: 17 page
Existence of positive solutions for non local p-Laplacian thermistor problems on time scales
We make use of the Guo-Krasnoselskii fixed point theorem on cones to prove existence of positive solutions to a non local p-Laplacian boundary value problem on time scales arising in many applications. © 2007 Victoria University. All rights reserved.CEOCFCTFEDER/POCTISFRH/BPD/20934/200
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