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1.
徐龙封 《高校应用数学学报(英文版)》2002,17(1):48-56
In this paper, the classical and weak derivatives with respect to spatial variable of a class of hysteresis functional are discussed. Some conclusions about solutions of a class of reaction-diffusion equations with hysteresis differential operator are given. 相似文献
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一类Hysteresis函数的微分(英文) 总被引:2,自引:0,他引:2
1 IntroductionThe theory of hysteresis operators developed in the past 20 years has pro-ved to be a powerful tool fOr solving mathematical probIems in various bran-ches of applications such as solid mechanics, material fatigue, ferromagnetism,phase tIansitbo, and many others. Many models Qf hysteresis operator havebeen constructed (see [1]--[4]). Since hysteresis operators make some good cha-racters (include differentiability) of functional sustain destruction, hysteresisfunctionals are not … 相似文献
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徐龙封 《高校应用数学学报(英文版)》2004,19(3):272-278
In this paper the nonnegative classical solutions of a parabolic system with nonlinear boundary conditions are discussed. The existence and uniqueness of a nonnegative classical solution are proved. And some sufficient conditions to ensure the global existence and nonexistence of nonnegative classical solution to this problem are given. 相似文献
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一个具有Kinetic Undercooling的拟定Stefan问题 总被引:3,自引:0,他引:3
徐龙封 《高校应用数学学报(A辑)》1995,(4):391-398
本文考虑了一个具有Kinetic Undercooling的拟定Stefan问题,证明了这个问题关于时间的局部古典解的存在唯一性。 相似文献
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讨论了IshIinskiǐhysteresis算子的性质,给出了一个具弹塑性阻尼的波动方程的古典解存在唯一性. 相似文献
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徐龙封 《Annals of Differential Equations》2004,20(2):173-179
A parabolic equations with hysteresis is discussed. The existence of smoothstrong solution of one-dimension initial boundary problem of the equation isgiven. 相似文献
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徐龙封 《纯粹数学与应用数学》2004,20(4):334-339,359
讨论了一个具有Hysteresis的双曲方程,并给出这个方程一维初值问题古典解和多维初边值问题强解的存在唯一性. 相似文献
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考虑了具有Kinetic的多维Muskat问题,并得到了这个问题局部古典解存在唯一性。 相似文献
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一类微分项中含Hysteresis的抛物型方程 总被引:1,自引:0,他引:1
本文通过引入导出算子分离Hysteresis与微分,证明了一个微分项中含Hysteresis的抛物型方程古典解的存在唯一性。 相似文献