共查询到20条相似文献,搜索用时 62 毫秒
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首先给出了运输问题最优解的相关概念,将最优解扩展到广义范畴,提出狭义多重最优解和广义多重最优解的概念及其区别.然后给出了惟一最优解、多重最优解、广义有限多重最优解、广义无限多重最优解的判定定理及其证明过程.最后推导出了狭义有限多重最优解个数下限和广义有限多重最优解个数上限的计算公式,并举例验证了结论的正确性. 相似文献
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讨论了Benjamin-Ono方程在Colombeau意义下的广义解的存在性,唯一性及在经典解存在的情况下与经典解的关系. 相似文献
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该文基于一个Riccati方程组,提出了一个新的广义投影Ric cati展开法,该方法直接简单并能构造非线性微分方程更多的新的解析解。利用该算法研究了(2+1)维广义浅水波方程,并求得了许多新的精确解,包括类孤子解和周期解。该算法也能应用到其它非线性微分方程中。 相似文献
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使用Galerkin有限元法研究了多维非定常中子迁移方程,证明了Galerkin有限元法近似解的收敛性和广义解的存在性. 相似文献
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离散广义系统的平稳振荡 总被引:2,自引:0,他引:2
为了研究离散广义系统的平稳振荡,本文利用广义Lyapunov函数方法,给出了一个m周期解存在的充要条件,得出了离散广义系统的周期解的存在性、唯一性、稳定性的有关定理,进而研究具有某种分解的复杂离散广义系统的平稳振荡问题,方法简单易行. 相似文献
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本文考虑了具有形式n的弱偶合双曲守恒方程组广义解的存在性问题.极大值原理导出了粘性解L∞模先验估计,关于单个守恒律简化的补偿列紧方法给出了粘性解的收敛性,即广义解的存在性. 相似文献
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证明了广义特征值反问题AX=BXA的分块中心对称解恒存在,给出了其解的一般表达式,给出了解集合中与给定矩阵的最佳逼近解的表达式以及求解最佳逼近解的一个数值算法。 相似文献
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《数学的实践与认识》2017,(19)
对广义WBK型耗散方程作了定性分析,研究了方程行波解的性态与耗散系数r之间的关系.并利用假设待定法,求出了广义WBK型耗散方程的衰减振荡解的近似解.最后,证明了用方法得到的广义WBK型耗散方程衰减振荡解的近似解与其精确解间的误差是以指数形式速降的无穷小量. 相似文献
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This paper is concerned with a class of neutral difference equations of second order with positive and negative coefficients
of the forms
where τ, δ and σ are nonnegative integers and {p
n
}, {q
n
} and {c
n
} are nonnegative real sequences. Sufficient conditions for oscillation of the equations are obtained.
Research of the first author was supported by Department of Science and Technology, New Delhi, Govt. of India, under BOYSCAST
Programme vide Sanc. No. 100/IFD/5071/2004-2005 Dated 04.01.2005. 相似文献
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Sufficient conditions have been obtained for the existence of at least two non-negative periodic solutions to a system of first-order nonlinear functional differential equations. Applications to some ecological models are given. 相似文献
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Wenting Liang 《Linear and Multilinear Algebra》2019,67(8):1606-1624
In this paper, we study the solvability of the operator equations in the general setting of infinite-dimensional Hilbert space with corresponding operators no necessarily having closed range. We get the necessary and sufficient conditions for the existences of the solutions and obtain formulae in each case for the general selfadjoint, positive and real positive solutions to these operator systems. 相似文献
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Bifurcations and exact traveling wave solutions of the equivalent complex short-pulse equations 下载免费PDF全文
In this paper, we study the traveling wave solutions for a complex short-pulse equation of both focusing and defocusing types, which governs the propagation of ultrashort pulses in nonlinear optical fibers. It can be viewed as an analog of the nonlinear Schrodinger (NLS) equation in the ultrashort-pulse regime. The corresponding traveling wave systems of the equivalent complex short-pulse equations are two singular planar dynamical systems with four singular straight lines. By using the method of dynamical systems, bifurcation diagrams and explicit exact parametric representations of the solutions are given, including solitary wave solution, periodic wave solution, peakon solution, periodic peakon solution and compacton solution under different parameter conditions. 相似文献
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We show the existence and nonexistence of entire positive solutions for semilinear elliptic system with gradient term Δu+|∇u|=p(|x|)f(u,v), Δv+|∇v|=q(|x|)g(u,v) on RN, N?3, provided that nonlinearities f and g are positive and continuous, the potentials p and q are continuous, c-positive and satisfy appropriate growth conditions at infinity. We find that entire large positive solutions fail to exist if f and g are sublinear and p and q have fast decay at infinity, while if f and g satisfy some growth conditions at infinity, and p, q are of slow decay or fast decay at infinity, then the system has infinitely many entire solutions, which are large or bounded. 相似文献
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Employ theory of bifurcations of dynamical systems to a system of coupled nonlin-ear equations, the existence of solitary wave solutions, kink wave solutions, anti-kink wave solutions and periodic wave solutions is obtained. Under different parametric conditions, various suffcient conditions to guarantee the existence of the above so-lutions are given. Some exact explicit parametric representations of travelling wave solutions are derived. 相似文献