The aim of this paper consists in to give sufficient conditions to ensure the existence and location of the solutions of a nonlinear fully fourth-order equation with functional boundary conditions. The arguments make ...
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The aim of this paper consists in to give sufficient conditions to ensure the existence and location of the solutions of a nonlinear fully fourth-order equation with functional boundary conditions. The arguments make use of the upper and lower solutions method, a phi-Laplacian operator and a fixedpoint theorem. An application of the beam theory to a nonlinear continuous model of the human spine allows to estimate its deformation under some loading forces. (c) 2007 Elsevier Inc. All rights reserved.
We present a two-point impulsive boundary value problem on the half-line with infinite impulsive effects on the unknown function and its derivative given by generalized functions. In this way, this problem can be appl...
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We present a two-point impulsive boundary value problem on the half-line with infinite impulsive effects on the unknown function and its derivative given by generalized functions. In this way, this problem can be applied to phenomena where the occurrence of infinite jumps depends not only on the instant, but also on their amplitude and frequency. The arguments apply Green's functions and Schauder's fixed-point theorem. The concept of equiconvergence at +infinity and at each impulsive moment is a key point to have a compact operator.
In this paper, we study the classification of matrix GI/M/1-type Markov chains with a tree structure. We show that the Perron-Frobenius eigenvalue of a Jacobian matrix provides information for classifying these Markov...
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In this paper, we study the classification of matrix GI/M/1-type Markov chains with a tree structure. We show that the Perron-Frobenius eigenvalue of a Jacobian matrix provides information for classifying these Markov chains. A fixed-point approach is utilized. A queueing application is presented to show the usefulness of the classification method developed in this paper.
In this article, a vertical rigid-flexible coupling model between the vehicle and the equipment is established. Considering the series stiffness of hydraulic shock absorbers, the underframe equipment is like a three-e...
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In this article, a vertical rigid-flexible coupling model between the vehicle and the equipment is established. Considering the series stiffness of hydraulic shock absorbers, the underframe equipment is like a three-element-type Maxwell model dynamic vibration absorber. The carbody is approximated by an elastic beam and the three-element-type dynamic vibration absorber for general beam system was studied by fixed-point theory. The analytical solution of the optimal suspension parameters for the beam system subjected to harmonic excitation is obtained. The dynamic vibration absorber theory is applied to reduce the resonance of the carbody and to design the suspension parameters of the underframe equipment accordingly. Then, the railway vehicle model was established by multi-body dynamics simulation software, and the vibration levels of the vehicle at different speeds were calculated. A comparative analysis was made between the vehicles whose underframe equipment was suspended by the three-element-type dynamic vibration absorber model and the Kelvin-Voigt-type dynamic vibration absorber model, respectively. The results show that, compared with the vehicle whose underframe equipment is suspended by the Kelvin-Voigt-type dynamic vibration absorber model, the vehicle whose underframe equipment is suspended by the three-element-type dynamic vibration absorber model can achieve a much better ride quality and root mean square value of the vibration acceleration of the carbody. The carbody elastic vibration can be reduced and the vehicle ride quality can be improved effectively using the designed absorber.
We show that for a very large class of integers l G(l)(R(n)) between Grassmannians;there is some k-plane of R(n) which is mapped into a subspace of itself.
We show that for a very large class of integers l < k ( n and an) map f: G(k)(R(n)) --> G(l)(R(n)) between Grassmannians;there is some k-plane of R(n) which is mapped into a subspace of itself.
In this paper, we deal with the finite difference method for the initial boundary value problem of the nonlinear pseudo-parabolic system in the rectangular domain , where u(x,t)=(u1(x,t),u2(x,t)…,um(x .t)). F(x,t,u,...
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In this paper, we deal with the finite difference method for the initial boundary value problem of the nonlinear pseudo-parabolic system in the rectangular domain , where u(x,t)=(u1(x,t),u2(x,t)…,um(x .t)). F(x,t,u,um,…ux2M)are m-dimensional vector functions,and A(x,t,u,nx,…ux 2M)is an m×m positive definite matrix. The existence and uniqueness of solution for the finite difference system are proved by the fixed-point theory. Stability, convergence and error estimates are derived.
The paper contains a correction to the paper "Impulsive problems on the half-line with infinite impulse moments", aimed at aligning with the method utilized and ensuring appropriate conditions for the existe...
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The paper contains a correction to the paper "Impulsive problems on the half-line with infinite impulse moments", aimed at aligning with the method utilized and ensuring appropriate conditions for the existence of solutions toa second-order impulsive boundary value problem
In response to the liar's paradox, Kripke developed the fixed-point semantics for languages expressing their own truth concepts. (Martin and Woodruff independently developed this semantics, but not to the same ext...
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In response to the liar's paradox, Kripke developed the fixed-point semantics for languages expressing their own truth concepts. (Martin and Woodruff independently developed this semantics, but not to the same extent as Kripke.) Kripke's work suggests a number of related fixed-point theories of truth for such languages. Gupta and Belnap develop their revision theory of truth in contrast to the fixed-point theories. The current paper considers three natural ways to compare the various resulting theories of truth, and establishes the resulting relationships among these theories. The point is to get a sense of the lay of the land amid a variety of options. Our results will also provide technical fodder for the methodological remarks of the companion paper to this one.
We consider the problem of optimal charging of heterogeneous plug-in electric vehicles (PEVs). We approach the problem as a multi-agent game in the presence of constraints and formulate an auxiliary minimization progr...
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We consider the problem of optimal charging of heterogeneous plug-in electric vehicles (PEVs). We approach the problem as a multi-agent game in the presence of constraints and formulate an auxiliary minimization program whose solution is shown to be the unique Nash equilibrium of the PEV charging control game, for any finite number of possibly heterogeneous agents. Assuming that the parameters defining the constraints of each vehicle are drawn randomly from a given distribution, we show that, as the number of agents tends to infinity, the value of the game achieved by the Nash equilibrium and the social optimum of the cooperative counterpart of the problem under study coincide for almost any choice of the random heterogeneity parameters. To the best of our knowledge, this result quantifies for the first time the asymptotic behaviour of the price of anarchy for this class of games. A numerical investigation to support our result is also provided. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
It is well known that the Newton method may not converge when the initial guess does not belong to a specific quadratic convergence region. We propose a family of new variants of the Newton method with the potential a...
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It is well known that the Newton method may not converge when the initial guess does not belong to a specific quadratic convergence region. We propose a family of new variants of the Newton method with the potential advantage of having a larger convergence region as well as more desirable properties near a solution. We prove quadratic convergence of the new family, and provide specific bounds for the asymptotic error constant. We illustrate the advantages of the new methods by means of test problems, including two and six variable polynomial systems, as well as a challenging signal processing example. We present a numerical experimental methodology which uses a large number of randomized initial guesses for a number of methods from the new family, in turn providing advice as to which of the methods employed is preferable to use in a particular search domain.
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