共查询到20条相似文献,搜索用时 15 毫秒
1.
Anjan Biswas 《Nonlinear dynamics》2010,59(3):423-426
This paper integrates the regularized long-wave equation with power-law nonlinearity using the solitary-wave ansatz. A few
of the conserved quantities are calculated by using the 1-soliton solution. This technique is then extended to obtain the
solitary-wave solution of the R(m,n) equation and a conserved quantity is also calculated for this generalized equation. 相似文献
2.
Lawrence Markus 《Journal of Dynamics and Differential Equations》2007,19(1):133-154
In a celebrated theorem H?lder proved that the Euler Γ-function is differential transcendental, i.e. Γ(z) is not a solution of any (non-trivial) algebraic ordinary differential equation with coefficients that are complex numbers; and we extend his methods to the Riemann ζ-function. Moreover, we conjecture that Γ and ζ are differential independent, i.e. Γ(z) is not a solution of any such algebraic differential equation—even allowing coefficients that are differential polynomials in ζ(z). However, we are able to demonstrate only the partial result that Γ(z) and ζ(sin 2πz) are differential independent. 相似文献
3.
A new method for calculating the hysteretic relationship between hydraulic conductivity (K) and suction (S) is proposed. This method uses the experimental (K–S) data of the main wetting and drying branches and predicts satisfactorily the scanning drying and wetting curves. The proposed
method is applicable to those porous media where the hysteretic Θ–S relationship complies with the independent domain concept. 相似文献
4.
In this paper,by using the Brunn-Minkowski-Firey mixed volume theory and dual mixed volume theory,associated with L_p intersection body and dual mixed volume,some dual Brunn-Minkowski inequalities and their isolate forms are established for L_p intersection body about the normalized L_p radial addition and L_p radial linear combination.Some properties of operator Lp are given. 相似文献
5.
A new class of g-η-monotone mappings and a class of generalized implicit variational-like inclusions involving g-η-monotone mappings are introduced. The resolvent operator of g-η-monotone mappings is defined and its Lipschitz continuity is presented. An iterative algorithm for approximating the solutions of generalized implicit variational-like inclusions is suggested and analyzed. The convergence of iterative sequences generated by the algorithm is also proved. 相似文献
6.
耿堤 《应用数学和力学(英文版)》2007,28(10):1373-1382
We discussed a class of p-Laplacian boundary problems on a bounded smooth domain,the nonlinearity is odd symmetric and limit subcritical growing at infinite.A sequence of critical values of the variational functional was constructed after the general- ized Palais-Smale condition was verified.We obtain that the problem possesses infinitely many solutions and corresponding energy levels of the functional pass to positive infinite. The result is a generalization of a similar problem in the case of subcritical. 相似文献
7.
Petty's conjectured projection inequality is a famous open problem in the theory of convex bodies. In this paper, it is shown that an inequality relating to Lp-version of the Petty's conjectured projection inequality is developed by using the notions of the Lp-mixed volume and the Lp-dual mixed volume, the relation of the Lp-projection body and the geometric body Г-pK, the Bourgain-Milman inequality and the Lp-Bnsemann-Petty inequality. In addition, for each origin-symmetric convex body, by applying the Jensen inequality and the monotonicity of the geometric body Г-pK, the reverses of Lp-version of the Petty's conjectured projection inequality and the Lp-Petty projection inequality are given, respectively. 相似文献
8.
Periodic solution of m order linear neutral equations with constant coefficient and time delays was studied. Existence and
uniqueness of 2 T-periodic solutions for the equation were discussed by using the method of Fourier series. Some new necessary
and sufficient conditions of existence and uniqueness of 2T-periodic solutions for the equation are obtained. The main result
is used widely. It contains results in some correlation paper for its special case, improves and extends the main results
in them. Existence of periodic solution for the equation in larger number of particular case can be checked by using the result,
but cannot be checked in another paper. In other words, the main result in this paper is most generalized for (1), the better
result cannot be found by using the same method.
Foundation item: the Natural Science Foundation of Yunnan Education Committee (990002)
Biography: ZHANG Bao-sheng (1962-) 相似文献
9.
10.
Asymptotic representations of a certain class of regular nonoscillating solutions of a differential equation with exponential
nonlinearity are obtained. Necessary and sufficient conditions for the existence of these solutions are established. 相似文献
11.
Ding Xie-ping 《应用数学和力学(英文版)》2003,24(5):499-508
A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear
structure are introduced and studied. By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued
mappings with closed acyclic values and a maximum theorem, several existence theorems of weighted Nath-equilibria and Pareto
equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces. These theorems improve,
unify and generalize the corresponding results of the multiobjective games in recent literatures.
Contributed by Ding Xie-ping
Foundation items: the National Natural Science Foundation of China (19871059); the Natural Science Foundation of Education Department of Sichuan
Province ([2000]25)
Biography: Ding Xie-ping (1938-) 相似文献
12.
We show the existence of weak solutions to the partial differential equation which describes the motion by R-curvature in R
d
, by the continuum limit of a class of infinite particle systems. We also show that weak solutions of the partial differential equation are viscosity solutions and give the uniqueness result on both weak and viscosity solutions. 相似文献
13.
A pest management SI model with impulsive releases of infective pests and spraying pesticides is proposed and investigated. We prove that all solutions of the model are uniformly ultimately bounded. We also obtain the sufficient conditions of globally asymptotic stability periodic solution of pest-extinction and permanence of the model. The approach of combining impulsive releasing infective pests with impulsive spraying pesticides provides reliable tactical basis for the practical pest management. 相似文献
14.
V. N. Shinkarenko 《Nonlinear Oscillations》2004,7(4):545-557
We establish necessary and sufficient conditions for the existence of one class of solutions of a differential equation with exponential nonlinearity. Asymptotic representations of these solutions are obtained.__________Translated from Neliniini Kolyvannya, Vol. 7, No. 4, pp. 562–573, October–December, 2004. 相似文献
15.
We investigate the asymptotic behavior of solutions of linear differential equations with almost constant coefficients and
pulse action at fixed times as t tends to infinity. We establish conditions for the times of pulse action under which there exist values of pulse action for
which the solution of the considered Cauchy problem with initial conditions that coincide with the initial conditions for
a certain (arbitrary but fixed) solution of the original equation without pulse action is bounded, unbounded, or tending to
infinity.
__________
Translated from Neliniini Kolyvannya, Vol. 8, No. 4, pp. 444–455, October–December, 2005. 相似文献
16.
Novid Beheshti Alexey A. Burluka Michael Fairweather 《Theoretical and Computational Fluid Dynamics》2007,21(5):381-397
In a series of recent works, R. Borghi and co-workers proposed a new Eulerian model of two-phase turbulent flows which introduced
a transport equation for the average area of the liquid–gas interface. This work is devoted to the assessment of this model’s
ability to predict the effects of liquid properties and injection regimes on the atomisation quality. Air-assisted atomisation,
for which extensive experimental data are available, is chosen as a test case. It is shown that the model predictions are
in good agreement with the observed trends for a wide range of variations of the liquid properties, such as density and surface
tension, as well as the injection regimes, defined by the liquid and gas jet exit velocities.
相似文献
17.
Lajos György Kocsán 《Archive of Applied Mechanics (Ingenieur Archiv)》2011,81(12):1953-1971
The two-field dual-mixed Fraeijs de Veubeke variational formulation of three-dimensional elasticity serves as the starting
point of the derivation of a dimensionally reduced shell model presented in this paper. The fundamental variables of this
complementary energy-based variational principle are the not a priori symmetric stress tensor and the skew-symmetric rotation tensor. The tensor of first-order stress functions is applied to
satisfy translational equilibrium, while the rotation tensor plays the role of a Lagrange multiplier to ensure rotational
equilibrium. The volumetric locking-free shell model uses unmodified three-dimensional constitutive equations, and no classical
kinematical hypotheses are employed during the derivation. The numerical performance of the related low-order h-, and higher-order p-version finite elements developed for axisymmetrically loaded cylindrical shells is investigated by two representative model
problems. It is numerically proven that no negative effect can be experienced when the thickness is small and tends to zero. 相似文献
18.
Ding Xie-ping 《应用数学和力学(英文版)》2003,24(9):1017-1024
By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem
and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex
spaces. These theorems improve and generalize many important known results in literature.
Contributed by Duping Xie-ping
Foundation items: the National Natural Science Foundation of China (19871059); the Natural Science Foundation of Education Department of Sichuan
Province ([2000]25)
Biography: Duping Xie-ping (1938∼), Professor (E-mail: dingxip@sichu.edu.cn) 相似文献
19.
In this paper we consider the XY (N-dimensional possibly anisotropic) spin-type model and, by comparison with a Ginzburg–Landau-type functional, we perform a
variational analysis in the limit when the number of particles diverges. In particular we show how the appearance of vortex-like
singularities can be described by properly scaling the energy of the system through a Γ-convergence procedure. We also address the problem in the case of long-range interactions and solve it in two dimensions. 相似文献
20.
Ding Xie-ping 《应用数学和力学(英文版)》2003,24(6):659-672
A new family of set-valued mappings from a topological space into generalized convex spaces was introduced and studied. By
using the continuous partition of unity theorem and Brouwer fixed point theorem, several existence theorems of maximal elements
for the family of set-valued mappings were proved under noncompact setting of product generalized convex spaces. These theorems
improve, unify and generalize many important results in recent literature.
Contributed by DING Xie-ping
Foundation items: the National Natural Science Foundation of China (19871059); the Natural Science Foundation of Education Department of Sichuan
Province of China ([2000]25)
Biography: DING Xie-ping (1938∼) 相似文献