84,327 research outputs found

    Positive solutions for even-order multi-point boundary value problems on time scales

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    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

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    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

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    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 λ>1\lambda>1. The Leggett-Williams fixed point theorem is utilized.Comment: outline, 6 page

    Variational approach to second-order impulsive dynamic equations on time scales

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    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

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    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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