共查询到20条相似文献,搜索用时 78 毫秒
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具有立方对称性及两个弛豫时间的微极热弹性介质中调和时间源引起的变形 总被引:1,自引:1,他引:0
研究了具有立方对称性及两个弛豫时间的微极热弹性介质在调和时间源中的响应.采用了Fourier变换以及数值逆变换技术.在物理域中,得到了位移、应力、微转动和温度分布的数值结果.将微极立方晶体法向位移、法向力应力、切向耦合应力和温度分布的计算结果,与微极各向同性固体的结果进行比较.绘制了指定材料的数值结果图形.还推断了某些特殊情况的结果. 相似文献
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本文在三角Hopf代数表示范畴上系统地研究了Lie余代数,在此范畴上 的Lie余代数与Hopf代数之间建立了重要的联系.主要给出了Lie余代数的余包络 余代数的结构.所得结果自然是关于Lie代数的对偶结果,推广了 Sweedler M. E., Gurevich D.I., Michaelis W.和 Maiid S.等人的结果. 相似文献
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本文在三角Hopf代数表示范畴上系统地研究了Lie余代数,在此范畴上 的Lie余代数与Hopf代数之间建立了重要的联系.主要给出了Lie余代数的余包络 余代数的结构.所得结果自然是关于Lie代数的对偶结果,推广了 Sweedler M. E., Gurevich D.I., Michaelis W.和 Maiid S.等人的结果. 相似文献
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本文获得了几个压缩型映射的不动点定理,改进了相应文献的结果.应用该定理,给出了一类时滞积分方程的正概周期解的存在性结果.推广了已有的结果. 相似文献
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文[1]指出:此方程不是普通的方程,不能用常规的代数方法来解答.该题离开计算器已无法得到结果.笔者认为此题不用计算器可以得到结果. 相似文献
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KIRCHHOFFTYPEEQUATIONSDEPENDINGONASMALLPARAMETER¥P.D'ANCONAS.SPAGNOLO(DepartmelltofMathematics,PisaUniversity!Pisa,Italy)Abst... 相似文献
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Lothar von Wolfersdorf 《Journal of Mathematical Analysis and Applications》2008,342(2):838-863
Existence results of Part I of the paper are generalized to two types of autoconvolution equations of the third kind having free terms with nonzero values at x=0 like the well-known Bernstein-Doetsch equation for the Jacobian theta zero functions. Also uniqueness results for the linear convolution equations in Part I of the paper are extended to more general function spaces. Further, a special class of integro-differential equations with autoconvolution integral and two classes of the linear singular Abel-Volterra equations are dealt with. 相似文献
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Tomáš Bárta 《Mathematische Nachrichten》2010,283(5):648-658
In this paper we show local and global existence for a class of (hyperbolic) quasilinear equations perturbed by bounded delay operators. In the last section, the abstract results are applied to a heat conduction model (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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We investigate the oscillatory behavior of all solutions of a new class of first order nonlinear neutral difference equations. Several explicit oscillation criteria are established. Our main results are supported by illustrative examples. 相似文献
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Ying Longan 《偏微分方程(英文版)》1990,3(4)
The solutions of the initial boundary value problems or the Navier-Stokes equations are constructed by means of a viscosity splitting scheme. Convergence results are proved. 相似文献
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Urszula Foryś Natalia Jankowska Katarzyna Cytlak Monika Joanna Piotrowska 《Mathematical Methods in the Applied Sciences》2020,43(18):10593-10618
In this paper, a delayed model of interactions between two actors in the context of their internal optimism and pessimism is studied. Considered model is based on the model proposed earlier in the context of romantic relationships. With the use of the system of nonlinear delay differential equations, we describe the change of emotions of two actors. Delays in the inertial component and in the influence function are introduced, and their influence on the system dynamics is investigated focusing on most beneficial meetings for actors. Finally, the modified systems are compared with the nondelayed case, and results are illustrated by numerical solutions for particular investigated scenarios. 相似文献
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In this paper, we establish new nonlinear integral inequalities of Gronwall-Bellman-Pachpatte type. These inequalities generalize some former famous inequalities and can be used as handy tools to study the qualitative as well as the quantitative properties of solutions of some nonlinear ordinary differential and integral equations. The purpose of this paper is to extend certain results which proved by Pachpatte in [Inequalities for Differential and Integral Equations, Academic Press, New York and London, 1998]. Some applications are also given to illustrate the usefulness of our results. 相似文献
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P. Cannarsa G. Fragnelli J. Vancostenoble 《Journal of Mathematical Analysis and Applications》2006,320(2):804-818
In this paper we study controllability properties of semilinear degenerate parabolic equations. Due to degeneracy, classical null controllability results do not hold in general. Thus we investigate results of ‘regional null controllability’, showing that we can drive the solution to rest at time T on a subset of the space domain, contained in the set where the equation is nondegenerate. 相似文献
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Dongho CHAE 《数学年刊B辑(英文版)》2009,30(5):513-526
The author reviews briefly some of the recent results on the blow-up problem for the incompressible Euler equations on R^N and also presents Liouville type theorems for the incompressible and compressible fluid equations. 相似文献
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Eduardo V. Teixeira 《Journal of Differential Equations》2007,238(1):43-63
In this paper we study the existence, uniqueness and propagation of regularity to infinite order partial differential evolution equations. Our approach is essentially functional and brings interesting results even when we restrict ourselves to finite order equations. 相似文献