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共查询到20条相似文献,搜索用时 187 毫秒
1.
The new concepts of the Z-C-X space and excellent cone are introduced. Some problems of random semiclosed 1-set-contractive operator are investigated in the Z-C-X space. At first, an important inequality is proved. Secondly, several new conclusions are proved by means of random fixed point index in the theory of random topological degree. A random solution of a class of random operator equations under conditions of imitating the parallelogram law is obtained, famous Altman’s theorem is generalized in partially ordered Z-C-X space. Therefore, some new results are obtained. 相似文献
2.
吴学谋 《应用数学和力学(英文版)》1981,2(3):277-290
This paper introduces some related concepts of pansystems analysis (such as pansystem, pansystem space, pansystem logic space, pometric pansystem, etc), and develops the convex set theory, Banach's theorem of completeness, Lax equivalence theory, theorems of Kuhn-Tucker type and Dubovitsky-Milutin type into the pometric (partial ordered metric) pansystem forms, they are different from traditional results. Furthermore, the general stability of operator equations and MSP transforming principles of approximation are investigated. 相似文献
3.
Conservation laws and symmetries of systems with unilateral constraints in phase space 总被引:6,自引:0,他引:6
By introducing the generalized quasi-symmetry of the infinitestinal transformation for transformation groupG
r
, this paper studies the conservation laws and symmetries of dynamical systems with unilateral constraints in phase space.
Noether's theorem and Noether's inverse theorem for mechanical systems with unilateral constraints in phase space are obtained
and two kinds of equivalent forms of generalized Killing equations which are used to determine the generators of the infinitestinmal
group transformation are given.
The project sponsored by the National Natural Science Foundation and the Doctoral Programme Foundation of Institution of Higher
Education of China. 相似文献
4.
Dmitry Pelinovsky 《Journal of Dynamics and Differential Equations》2011,23(1):167-183
We give an alternative proof of the theorem, which states that no propagation failure occurs for the discrete Nagumo equation
with “translationally invariant” stationary monotonic fronts. The theorem was recently proved with the use of the invariant
manifolds for lattice differential equations by Hupkes, Pelinovsky, and Sandstede. The alternative proof relies on the analysis
of the advance-delay operator associated with the translationally invariant stationary front. This operator exhibits an infinite-dimensional
kernel spanned by Fourier harmonics of front’s translations, which are accounted when the stationary front is continued into
the traveling one. 相似文献
5.
Lp-Lq Estimate of the Stokes Operator and Navier–Stokes Flows in the Exterior of a Rotating Obstacle
We consider the motion of a viscous fluid filling the whole three-dimensional space exterior to a rotating obstacle with constant
angular velocity. We develop the L
p
-L
q
estimates and the similar estimates in the Lorentz spaces of the Stokes semigroup with rotation effect. We next apply them
to the Navier–Stokes equation to prove the global existence of a unique solution which goes to a stationary flow as t → ∞ with some definite rates when both the stationary flow and the initial disturbance are sufficiently small in L
3,∞ (weak-L
3 space). 相似文献
6.
Matthias Geissert Matthias Hess Matthias Hieber Céline Schwarz Kyriakos Stavrakidis 《Journal of Mathematical Fluid Mechanics》2010,12(1):47-60
Introducing a new localization method involving Bogovskiĭ's operator we give a short and new proof for maximal Lp – Lq-estimates for the solution of the Stokes equation. Moreover, it is shown that, up to constants, the Stokes operator is an
R{\mathcal{R}}-sectorial operator in Lps(W)L^{p}_{\sigma}(\Omega), 1 < p < ¥1 < p < \infty, of R{\mathcal{R}}-angle 0, for bounded or exterior domains of Ω. 相似文献
7.
Recently a third-order existence theorem has been proven to establish the sufficient conditions of periodicity for the most general third-order ordinary differential equation x+f(t,x,x′,x″)=0 | In this paper we prove a new theorem, and establish a new sufficient condition for periodicity of a more restricted and better classified third-order system obeying the following third-order ordinary differential equation.
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