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排序方式: 共有697条查询结果,搜索用时 250 毫秒
61.
The modified Volterra lattice equation with nonholonomic constrain has been considered in this paper. The integrability of the deformed model has been demonstrated by providing a Lax pair. Applying the gauge transformation to the Lax pair, we establish Darboux transformation theorem for the nonholonomic deformation equation. Some analytic solutions of the system are obtained via the one-fold and two-fold Darboux transformations. The deformation on explicit solutions exhibits different curvy profiles and propagation trajectories that were not found in modified Volterra lattice equation. 相似文献
62.
Raffaele Carlone Michele Correggi Lorenzo Tentarelli 《Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire》2019,36(1):257-294
We consider a two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity. In both the focusing and defocusing case we prove local well-posedness, i.e., existence and uniqueness of the solution for short times, as well as energy and mass conservation. In addition, we prove that this implies global existence in the defocusing case, irrespective of the power of the nonlinearity, while in the focusing case blowing-up solutions may arise. 相似文献
63.
In this paper the minimal-speed determinacy of traveling wave fronts of a two-species competition model of diffusive Lotka–Volterra type is investigated. First, a cooperative system is obtained from the classical Lotka–Volterra competition model. Then, we apply the upper-lower solution technique on the cooperative system to study the traveling waves as well as its minimal-speed selection mechanisms: linear or nonlinear. New types of upper and lower solutions are established. Previous results for the linear speed selection are extended, and novel results on both linear and nonlinear selections are derived. 相似文献
64.
Using methods of nonlinear functional analysis, we define the structure of an evolution operator equation of second order that can be formulated in direct variational terms. 相似文献
65.
对带有控制-状态混合约束的一类受控时滞Volterra型积分系统,导出了其最优控制的一组必要条件和一组充分条件. 相似文献
66.
We present the structure of the resolvent of a difference kernel, which allows us to study the asymptotic behavior of the
solution of the renewal equation for a given asymptotic behavior of the constant term. An asymptotic representation for the
resolvent is obtained under minimal requirements on the moments of the kernel. Similar results are given for integro-differential
equations.
Translated fromMatematicheskie Zametki, Vol. 62, No. 1, pp. 88–94, July, 1997.
Translated by M. A. Shishkova 相似文献
67.
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69.
线性Volterra系统V泛函的构造及其应用 总被引:1,自引:0,他引:1
V泛函的构造是讨论Volterra积分微分系统稳定性的关键.近十年来,不少作者在Liapunov泛函构造方面作了不少努力,但对一般的线性Volterra系统,还是没有构造Lispunov泛函通用而有效的方法.本文通过具体求解一个线性偏微分方程的方法来确定V泛函,得到了更广泛的Liapunov泛函以及变号V泛函.同时,利用这些V泛函对线性Volterra系统的实用稳定性与Lispunov稳定性作了讨论. 相似文献
70.
In this paper we introduce and study polynomial spline collocation methods for systems of Volterra integral equations with unknown lower integral limit arising in mathematical economics. Their discretization leads to implicit Runge-Kutta-type methods. The global convergence and local superconvergence properties of these methods are proved, and the theory is illustrated by a numerical example arising in the application of such equations in certain mathematical models of liquidation. 相似文献