共查询到20条相似文献,搜索用时 46 毫秒
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Daewook Kim Jong Yeoul Park Yong Han Kang 《Computers & Mathematics with Applications》2018,75(9):3269-3282
In this paper, we show the energy decay rate for a von Karman system with a boundary nonlinear delay term. This work is devoted to investigate the influence of kernel function and the effect of the boundary nonlinear term , a boundary nonlinear time delay term and prove energy decay rates of solutions when do not necessarily decay exponentially and the boundary condition has a time delay. 相似文献
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Fenglong Sun Lishan Liu Yonghong Wu 《Computers & Mathematics with Applications》2018,75(10):3685-3701
In this paper, we study the initial boundary value problem for a class of parabolic or pseudo-parabolic equations: where , with being the principal eigenvalue for on and . By using the potential well method, Levine’s concavity method and some differential inequality techniques, we obtain the finite time blow-up results provided that the initial energy satisfies three conditions: (i) ; (ii) , where is a nonnegative constant; (iii) , where involves the -norm or -norm of the initial data. We also establish the lower and upper bounds for the blow-up time. In particular, we obtain the existence of certain solutions blowing up in finite time with initial data at the Nehari manifold or at arbitrary energy level. 相似文献
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Shuyan Qiu Chunlai Mu Liangchen Wang 《Computers & Mathematics with Applications》2018,75(9):3213-3223
This paper deals with the following quasilinear chemotaxis-growth system in a smoothly bounded domain under zero-flux boundary conditions. The parameters and are positive and the diffusion function is supposed to generalize the prototype with and . Under the assumption , it is proved that whenever , and , for any given nonnegative and suitably smooth initial data (, , ) satisfying , the corresponding initial–boundary problem possesses a unique global solution which is uniformly-in-time bounded. The novelty of the paper is that we use the boundedness of the with to estimate the boundedness of . Moreover, the result in this paper can be regarded as an extension of a previous consequence on global existence of solutions by Hu et al. (2016) under the condition that and . 相似文献
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This paper aims at providing an alternative approach to study global dynamic properties for a two-species chemotaxis model, with the main novelty being that both populations mutually compete with the other on account of the Lotka–Volterra dynamics. More precisely, we consider the following Neumann initial–boundary value problem in a bounded domain , with smooth boundary, where are positive constants.When and , it is shown that under some explicit largeness assumptions on the logistic growth coefficients and , the corresponding Neumann initial–boundary value problem possesses a unique global bounded solution which moreover approaches a unique positive homogeneous steady state of above system in the large time limit. The respective decay rate of this convergence is shown to be exponential.When and , if is suitable large, for all sufficiently regular nonnegative initial data and with and , the globally bounded solution of above system will stabilize toward as in algebraic. 相似文献
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In this paper, we are concerned with the existence of positive radial solutions of the elliptic system where , is a constant, is a parameter and , is continuous and for all . Under some appropriate conditions on the nonlinearity , we show that the above system possesses at least one positive radial solution for any . The proof of our main results is based upon bifurcation techniques. 相似文献
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In this work, we are interested in considering the following nonlocal problem where is a smooth bounded domain, and is the critical Sobolev exponent. By using the variational method and the critical point theorem, some existence and multiplicity results are obtained. 相似文献
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In this research paper using the Chebyshev expansion, we explicitly determine the best uniform polynomial approximation out of (the space of polynomials of degree at most ) to a class of rational functions of the form on , where is the first kind of Chebyshev polynomial of degree and . In this way we give some new theorems about the best approximation of this class of rational functions. Furthermore we obtain the alternating set of this class of functions. 相似文献
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Ke Wu 《Computers & Mathematics with Applications》2018,75(3):755-763
We consider the existence of ground state solutions for the Kirchhoff type problem where , and . Here we are interested in the case that since the existence of ground state for is easily obtained by a standard variational argument. Our method is based on a Pohoaev type identity. 相似文献
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Yongge Tian 《Computers & Mathematics with Applications》2011,61(6):1493-1501
Let and be two linear matrix expressions, and denote by and the collections of the two matrix expressions when and run over the corresponding matrix spaces. In this paper, we study relationships between the two matrix sets and , as well as the two sets and , by using some rank formulas for matrices. In particular, we give necessary and sufficient conditions for the two matrix set inclusions and to hold. We also use the results obtained to characterize relations of solutions of some linear matrix equations. 相似文献
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《Computers & Mathematics with Applications》2007,53(3-4):595-604
We prove for three-dimensional domains the existence of local strong solutions to systems of nonlinear partial differential equations with -structure, , and Dirichlet boundary conditions for without restriction on the upper bound . In particular this result is applicable to the motion of electrorheological fluids. 相似文献
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Mohamed Jleli Mokhtar Kirane Bessem Samet 《Computers & Mathematics with Applications》2018,75(8):2698-2709
In this paper, we study the nonlocal nonlinear evolution equation where , , , , is the convolution product in , and , , is the Caputo left-sided fractional derivative of order with respect to the time . We prove that the problem admits no global weak solution other than the trivial one with suitable initial data when . Next, we deal with the system where , , , and . We prove that the system admitsnon global weak solution other than the trivial one with suitable initial data when . Our approach is based on the test function method. 相似文献
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