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The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws
Two-Component Camassa-Holm Equations CH(2,1) CH(2,2) First-Order Integrating Factors Conservation Laws Exactly Solvable and Integrable Systems
2012/4/26
Recently, Holm and Ivanov, proposed and studied a class of multi-component generalisations of the Camassa-Holm equations [D D Holm and R I Ivanov, Multi-component generalizations of the CH equation: g...
An Interior Gradient Estimate for a class of Second Order Partial Differential Inequalities
Interior Gradient Estimate class of Second Order Partial Differential Inequalities
2011/2/22
In this paper, we show a uniform gradient estimate for functions u defined on a domain
in Euclidian space RN which satisfy a system of N second order partial differential inequalities of the followi...
High order weak approximation schemes for Lévy-driven SDEs
Levy-driven stochastic di erential equation Euler scheme
2011/2/28
We propose new jump-adapted weak approximation schemes for stochas-tic di erential equations driven by pure-jump Levy processes.
Initial-boundary value problems for second order systems of partial differential equations
Initial-boundary value problems second order systems of partial differential equations
2011/1/18
We develop a well-posedness theory for second order systems in bounded domains where
boundary phenomena like glancing and surface waves play an important role. Attempts have previ-
ously been made t...
Line integration and second order partial differential equations over Cayley-Dickson algebras
Line integration second order partial differential equations Cayley-Dickson algebras
2010/12/3
Line integration of generalized functions is studied. Second or-der partial differential equations with piecewise continuous and gen-eralized variable coefficients over Cayley-Dickson algebras are inv...
Oscillation of Second Order Nonlinear Delay Damped Difference Equations
oscillation second-order difference equations Riccati techniques
2007/12/11
Some new oscillation criteria for nonlinear delay difference equation with damping $$ \Delta ^{2}x_{n}+p_{n}\Delta x_{n}+F(n,x_{n-\tau },\Delta x_{n-\sigma })=0,\ \ \ \ n=0,1,2,\ldots ,\eqno{(*)} $$ a...
期刊信息
篇名
Positive Entropic Schemes for a Nonlinear Fourth-order Parabolic Equation,
语种
英文
撰写或编译
撰写
作者
Carrillo J. A.,Juengel A.,and Tang S.,
第一作者单位
北京大学
刊物名称
Discrete and Continuous Dynamical Systems
...
Oscillation Criteria for Second Order Nonlinear Differential Equations with Damping
Oscillation averaging damping Riccati substitution second order
2010/3/1
Oscillation criteria are given for second order nonlinear differential equations with damping of the form (a(t) y (x ) \dot x)\dot{}+ p(t) \dot x + q (t) f (x ) = 0,\quad t\geq t0, where p and q are a...