共查询到10条相似文献,搜索用时 46 毫秒
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Lszl Simon 《Mathematische Nachrichten》2000,217(1):175-186
In this paper, existence of weak solutions of second order evolution equations is proved and some properties of the solutions are shown. The results are applied to higher order nonlinear hyperbolic functional differential equations. 相似文献
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Some new oscillation and nonoscillation criteria are given for linear delay or advanced differential equations with variable coefficients and not (necessarily) constant delays or advanced arguments. Moreover, some new results on the existence and the nonexistence of positive solutions for linear integrodifferential equations are obtained. 相似文献
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Banach空间非线性脉冲Volterra型积分方程和积分-微分方程的可解性 总被引:13,自引:0,他引:13
本文在较宽松的条件下,研究了Banach空间非线性脉冲Volterra型积分方 程和脉冲积分一微分方程解的存在性,建立了新的存在性定理,本质上改进了某些已 知的结果. 相似文献
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Xiao-LingXiang Chun-XiaFan WeiWei 《应用数学学报(英文版)》2003,19(2):267-280
Existence of solutions for semibounded nonlinear evolution equations is established. This gives more accurate estimate of solutions and conditions of existence axe more easily validated. Our results are successfully applied to prove existence and uniqueness of solutions for some KdV type equations. 相似文献
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Xu-Jia WANG 《数学年刊B辑(英文版)》2006,27(6):637-642
In this note the author gives an elementary and simple proof for the Schauder estimates for elliptic and parabolic equations. The proof also applies to nonlinear equations. 相似文献
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一类扩散型变分方程问题 总被引:1,自引:0,他引:1
本文讨论了扩散型方程的某些分析性质,得到了一些较为深刻的结论,并应用这些结论证明了一类扩散型变分方程解的存在性。同时,还指出这类变分方程在随机控制的研究中有着重要的理论意义。 相似文献
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