搜索结果: 1-15 共查到“信息科学与系统科学 e equations”相关记录28条 . 查询时间(0.032 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Strichartz estimates for wave equations with a potential in non-trapping exterior domains
斯特里查茨估计 非陷阱外域 波动方程
2023/4/14
Consider the linear wave equations with a potential outside a compact set with a non-trapping boundary condition. Assuming that the potential satisfies an appropriate decreasing condition and that zer...
Constructing Lyapunov Functions for Nonlinear Delay-Differential Equations using Semidefinite Programming
Delay-Differential Equations Lyapunov Functions
2015/6/19
The search for a polynomial Lyapunov function proving delay-independent stability of multivariate nonlinear polynomial delay differential equations is approached using semidefinite programming. The fu...
Tippe Top Equations and Equations for the Related Mechanical Systems
tippe top rigid body nonholonomic mechanics integrals of motion stability gliding friction
2012/4/26
The equations of motion for the rolling and gliding Tippe Top (TT) are nonintegrable and difficult to analyze. The only existing arguments about TT inversion are based on analysis of stability of asym...
Multi-quadratic quad equations: integrable cases from a factorised-discriminant hypothesis
Multi-quadratic quad equations integrable cases factorised-discriminant hypothesis Exactly Solvable and Integrable Systems
2012/4/26
We give integrable quad equations which are multi-quadratic (degree-two) counterparts of the well-known multi-affine (degree-one) equations classified by Adler, Bobenko and Suris (ABS). These multi-qu...
Differential Equations with Fractional Derivative and Universal Map with Memory
Fractional Derivative Universal Map Memory Chaotic Dynamics
2011/10/9
Abstract: Discrete maps with long-term memory are obtained from nonlinear differential equations with Riemann-Liouville and Caputo fractional derivatives. These maps are generalizations of the well-kn...
Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials
Short pulse equations nonlinear metamaterials
2010/4/7
We consider short pulse propagation in nonlinear metamaterials characterized by a weak Kerr-type nonlinearity in their dielectric response. In the frequency "band gaps" (where linear electromagnetic w...
CONTINUATION METHOD OF NONLINEAR INTEGRAL EQUATIONS
Continuation method Urysohn equation h
2007/12/17
In this paper a continuation method for the Urysohn nonlinear equation is to be established by the use of a homotopy transformation, and the homotopy equation will result in the Cauchy problem of a di...
A New Hierarchy of Lax and Liouville Integrable Evolution Equations Associated with an Isospectral Problem in the Loop Algebra Ã2
Isospectral problem loop algebra Lax integrable Liouville integrable Hamiltonian structure
2007/12/10
摘要 In this paper, an isospectral problem with five potentials is investigated in loop algebra $\tilde{A}_2$ such that a new hierarchy of evolution equations with five arbitrary functions is obtained...
NONLINEAR GALERKIN METHOD FOR STEADY NONLINEAR DIFFERENTIAL EQUATIONS
Nonlinear Galerkin method nonlinear par
2007/12/10
摘要 A nonlinear Galerkin method using spectral expansions is presented for the steady nonlinear partial differential equations. We prove the existence, uniqueness and convergence of the numerical solut...
QUENCHING PHENOMENA FOR SYSTEMS OF SEMILINEAR PARABOLIC EQUATIONS I
Quenching critical length quenching ti
2007/12/10
摘要 Initial-boundary value problems for a class of systems of semilinear parabolicequations with singular terms are investigated, conditions for the existence and nonexistence of the global solutions t...
BOUNDARY SOLUTIONS OF OPERATOR EQUATIONS IN PARIAL ORDERING SETS WITH APPLICATIONS TO SYSTEMS OF FUNCTIONALEQUATIONS
Partial ordering set system of operator
2007/12/10
摘要 In this papert we study the existence of solutions and boundary solutions tothe following system of operator equations in partial ordering sets.... We do not assume any topological structure or alg...
METHODS FOR IMPROVING APPROXIMATE ACCURACY FOR HYPERBOLIC INTEGRODIFFERENTIAL EQUATIONS
Integrodifferential equations extrapola
2007/12/10
摘要 In this paper we study the higher accuracy methods-the extrapolation and defect correction for the semidiscrete Galerkin approximations to the solutions of hyperbolic integrodifferential equations....
ON THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF VOLTERRA INTEGRAL DIFFERENTIAL EQUATIONS
Periodic solutions Volterra integro-dif
2007/12/10
摘要 In this paper, we use the contraction principle and the Leray-Schauder principle to deal with the existence of periodic solutions of the Volterra integral differential equation. Some new existence ...
Residual a Posteriori Error Estimate of a New Two-Level Method for Steady Navier-Stokes Equations
2007/8/7
Residual-based a posteriori error estimate for conforming finite element solutions of incompressible Navier-Stokes equations, which is computed with a new two-level method that is different from Volke...
A coupled system of singularly perturbed convection-diffusionequations is considered. The leading term of each equation ismultiplied by a small positive parameter, but these parameters mayhave differe...