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1.
针对一类古典概型,通过将基本事件数转化为不定方程的解的个数,并利用组合方法将其求出,进而可以得到该古典概型的公式解. 相似文献
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研究二维等熵可压缩欧拉方程的古典解存在性.利用迭代技巧,得到解的局部存在性及唯一性,并且还证明了解在有限时间内爆破,即可压缩欧拉方程不存在全局古典解. 相似文献
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二阶半线性椭圆方程的径向解 总被引:2,自引:0,他引:2
本文讨论了无界域上的二阶半线性椭圆方程的径向解,给出了古典解的性质,诸如存在或非存在性,唯一性以及解的估计式等,这些性质清晰地描绘了古典解的性态。 相似文献
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本文证明了化学反应扩散过程中的一类周期自由边界问题古典解的存在唯一性,并且讨论了潜热L→0时周期Stefan问题古典解的渐近性态及误差估计. 相似文献
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本文讨论偏微分方程组(1)的边值问题的提法,证明条件(D)是保证在任何有限域上边值问题(1),(2)的古典解唯一的充要条件.当条件(D)成立时,证明了广义解的存在唯一性,并举出古典解存在的一些例子. 相似文献
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本文首先证明源于DNA的非线性波动方程组的周期边值问题局部古典解的存在性和唯一性.其次通过周期边值问题序列证明这个方程组的Cauchy问题存在唯一的局部古典解. 相似文献
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一类半线性积分微分方程初值问题之整体解的存在性与唯一性 总被引:1,自引:0,他引:1
本文运用能量廷拓方法,讨论了一类描述有内部热耗散的杆中热传导问题的半线性积分微分方程初值问题之整体古典解的存在性,并附带证明了该问题之古典解的唯一性。 相似文献
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本文主要研究一类带有齐次Neumann边界条件且具有非线性扩散项的趋化趋触模型,在较宽的条件下,证明了系统具有整体有界古典解.推广了XU等(2019)和JIA等(2020)得到的整体有界的古典解的结论. 相似文献
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We prove the existence of sign changing solutions of a semilinear elliptic eigenvalue problem with constraint by using variational
methods. Among those three solutions we obtained, one is positive, one negative and one sign changing. We also prove the existence
of multiple sign changing solutions under some additional condition. 相似文献
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We prove the existence of sign changing solutions of a semilinear elliptic eigenvalue problem with constraint by using variational methods. Among those three solutions we obtained, one is positive, one negative and one sign changing. We also prove the existence of multiple sign changing solutions under some additional condition. 相似文献
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Periodic non-autonomous second-order dynamical systems 总被引:1,自引:0,他引:1
Martin Schechter 《Journal of Differential Equations》2006,223(2):290-302
We study the existence of periodic solutions for a second-order non-autonomous dynamical system. We give three sets of hypotheses which guarantee the existence of non-constant solutions. We were able to weaken the hypotheses considerably from those used previously for such systems. We employ a saddle point theorem using linking methods. 相似文献
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We consider a system coupling the incompressible Navier-Stokes equations to the Vlasov-Fokker-Planck equation. The coupling arises from a drag force exerted by each other. We establish existence of global weak solutions for the system in two and three dimensions. Furthermore, we obtain the existence and uniqueness result of global smooth solutions for dimension two. In case of three dimensions, we also prove that strong solutions exist globally in time for the Vlasov-Stokes system. 相似文献
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Existence of three positive solutions for a class of Riemann-Liouville fractional q-difference equation 下载免费PDF全文
Shugui Kang Huiqin Chen Luping Li Yaqiong Cui Shiwang Ma 《Journal of Applied Analysis & Computation》2019,9(2):590-600
In this paper, we confirm the existence of three positive solutions for a class of Riemann-Liouville fractional $q$-difference equation which satisfies the boundary conditions. We gain several sufficient conditions for the existence of three positive solutions of this boundary value problem by applying the Leggett-Williams fixed point theorem. 相似文献
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Bo Sun Aijun Yang 《Annals of Differential Equations》2011,(2):201-206
We apply a fixed point theorem to verify the existence of at least three positive solutions to a multi-point boundary value problem with p-Laplacian. Existence criteria which ensure the existence of triple positive solutions are established. 相似文献
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Brigitte E. Breckner Dušan Repovš 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(9):2980-2990
We apply a recently obtained three-critical-point theorem of B. Ricceri to prove the existence of at least three solutions of certain two-parameter Dirichlet problems defined on the Sierpinski gasket. We also show the existence of at least three nonzero solutions of certain perturbed two-parameter Dirichlet problems on the Sierpinski gasket, using both the mountain pass theorem of Ambrosetti and Rabinowitz and that of Pucci and Serrin. 相似文献
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This work studies the question of global existence of weak solutions to Vlasov-Poisson-Fokker-Planck equations with spatial, or momentum, dimensions greater than, or equal to, three. We define a concept of weak solutions to these equations and show (i) global existence for plasma physical models with spatial (or momentum) dimensions greater than or equal to three, and (ii) global existence in three spatial dimensions with arbitrary data for the stellar dynamical case. 相似文献
19.
Bernard Nowakowski Wojciech M. Zajączkowski 《Mathematical Methods in the Applied Sciences》2016,39(1):44-61
We investigate the stability of two‐dimensional periodic solutions to magnetohydrodynamics equations in the class of three‐dimensional periodic solutions. We show the existence of global, strong three‐dimensional solutions to magnetohydrodynamics equations, which are close to two‐dimensional solutions. The advantage of our approach is that neither these solutions nor the external forces have to vanish at infinity. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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Saeid Shokooh 《复变函数与椭圆型方程》2019,64(8):1310-1324
We apply a three critical points theorem of B. Ricceri to establish the existence of at least three weak solutions for a class of non-homogeneous Neumann problems. Furthermore, by using another theorem of him, we prove that an appropriate oscillating behaviour of the nonlinear term ensures the existence of infinitely many weak solutions. Our analysis is based on recent variational methods for smooth functionals defined on Orlicz-Sobolev spaces. 相似文献