Classification schemes of nonoscillatory solutions for two-dimensional time scale systems
نویسندگان
چکیده
منابع مشابه
Nonoscillatory Central Schemes for One- and Two-Dimensional Magnetohydrodynamics Equations. II: High-Order SemiDiscrete Schemes
We present a new family of high-resolution, nonoscillatory semidiscrete central schemes for the approximate solution of the ideal magnetohydrodynamics (MHD) equations. This is the second part of our work, where we are passing from the fully discrete staggered schemes in [J. Balbás, E. Tadmor, and C.-C. Wu, J. Comput. Phys., 201 (2004), pp. 261–285] to the semidiscrete formulation advocated in [...
متن کاملClassification of Nonoscillatory Solutions of Nonlinear Neutral Differential Equations
Nonoscillatory solutions of a general class of second order functional neutral differential equations of the form
متن کاملOn oscillatory behavior of two-dimensional time scale systems
where a,b ∈ Crd([t0,∞)T,R+), and f and g are nondecreasing functions such that uf (u) > 0 and ug(u) > 0 for u = 0. The time scale theory is initiated by the German mathematician S. Hilger in his PhD thesis in 1988. His purpose was to unify continuous and discrete analysis and extend the results in one theory. A time scale, denoted by T, is a nonempty closed subset of real numbers, and some exam...
متن کاملWeakly nonoscillatory schemes for scalar conservation laws
A new class of Godunov-type numerical methods (called here weakly nonoscillatory or WNO) for solving nonlinear scalar conservation laws in one space dimension is introduced. This new class generalizes the classical nonoscillatory schemes. In particular, it contains modified versions of MinMod and UNO. Under certain conditions, convergence and error estimates for WNO methods are proved.
متن کاملNonoscillatory Solutions of the Four-dimensional Difference System
We study asymptotic properties of nonoscillatory solutions for a four-dimensional system ∆xn = Cn y 1 γ n ∆yn = Bn z 1 β n ∆zn = An w 1 α n ∆wn = Dn x δ n+τ . In particular, we give sufficient conditions that any bounded nonoscillatory solution tends to zero and any unbounded nonoscillatory solution tends to infinity in all its components. This paper is in final form and no version of it will b...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2017
ISSN: 1331-4343
DOI: 10.7153/mia-20-26