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- Aerodynamic effect (1)
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- Factorial design (1)
- GENERALIZED EULER EQUATION (1)
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- Pole assignment (1)
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Articles 1 - 10 of 10
Full-Text Articles in Physical Sciences and Mathematics
Global Solutions To The Lake Equations With Isolated Vortex Regions, Chaocheng Huang
Global Solutions To The Lake Equations With Isolated Vortex Regions, Chaocheng Huang
Mathematics and Statistics Faculty Publications
The vorticity formulation for the lake equations in R2 is studied.
Exact Multiplicity For Periodic Solutions Of Duffing Type, Hongbin Chen, Yi Li, Xiaojie Hou
Exact Multiplicity For Periodic Solutions Of Duffing Type, Hongbin Chen, Yi Li, Xiaojie Hou
Mathematics and Statistics Faculty Publications
In this paper, we study the following Duffing-type equation:
x″+cx′+g(t,x)=h(t),
where g(t,x) is a 2π-periodic continuous function in t and concave–convex in x, and h(t) is a small continuous 2π-periodic function. The exact multiplicity and stability of periodic solutions are obtained.
On The Stability Of The Positive Radial Steady States For A Semilinear Cauchy Problem, Yinbin Deng, Yi Li, Yi Liu
On The Stability Of The Positive Radial Steady States For A Semilinear Cauchy Problem, Yinbin Deng, Yi Li, Yi Liu
Mathematics and Statistics Faculty Publications
No abstract provided.
On Adaptive Estimation In Orthogonal Saturated Designs, Weizhen Wang, Daniel T. Voss
On Adaptive Estimation In Orthogonal Saturated Designs, Weizhen Wang, Daniel T. Voss
Mathematics and Statistics Faculty Publications
A simple method is provided to construct a general class of individual and simultaneous confidence intervals for the effects in orthogonal saturated designs. These intervals use the data adaptively, maintain the confidence levels sharply at 1 - α at the least favorable parameter configuration, work effectively under effect sparsity, and include the intervals by Wang and Voss (2001) as a special case.
Pole Assignment For A Vibrating System With Aerodynamic Effect, J. N. Wang, So-Hsiang Chou, Y. C. Chen, W. W. Lin
Pole Assignment For A Vibrating System With Aerodynamic Effect, J. N. Wang, So-Hsiang Chou, Y. C. Chen, W. W. Lin
Mathematics and Statistics Faculty Publications
This paper deals with a pole assignment problem by single-input state feedback control arising from a one-dimensional vibrating system with aerodynamic effect. On the practical side, we derive explicit formulae for the required controlling force terms, which can reassign part of the spectrum to the desired values while leaving the remaining spectrum unchanged. On the mathematical side, unlike the classical Sturm–Liouville problem, our eigenvalue problem is associated with a cubic pencil with unbounded operators as coefficients and has many interesting new features, one of which is that a new controllability condition appears. This condition together with the known controllability condition …
The Global Dynamics Of Isothermal Chemical Systems With Critical Nonlinearity, Yi Li, Yuanwei Qi
The Global Dynamics Of Isothermal Chemical Systems With Critical Nonlinearity, Yi Li, Yuanwei Qi
Mathematics and Statistics Faculty Publications
In this paper, we study the Cauchy problem of a cubic autocatalytic chemical reaction system u1,t = u1,xx − uα1 uβ2, u2,t = du2,xx+ uα1 uβ2 with non-negative initial data, where the exponents α,β satisfy 1<α,βd>0 is the Lewis number. Our purpose is to study the global dynamics of solutions under mild decay of initial data as |x|→∞. We show the exact large time behaviour of solutions which is universal.
Perturbation Of Global Solution Curves For Semilinear Problems, Philip Korman, Yi Li, Tiancheng Ouyang
Perturbation Of Global Solution Curves For Semilinear Problems, Philip Korman, Yi Li, Tiancheng Ouyang
Mathematics and Statistics Faculty Publications
We revisit the question of exact multiplicity of positive solutions for a class of Dirichlet problems for cubic-like nonlinearities, which we studied in 161. Instead of computing the direction of bifurcation as we did in [6], we use an indirect approach, and study the evolution of turning points. We give conditions under which the critical (turning) points continue on smooth curves, which allows us to reduce the problem to the easier case of f (0) = 0. We show that the smallest root of f (u) does not have to be restricted.
Multiple Solutions For An Inhomogeneous Semilinear Elliptic Equation In Rn, Yinbin Deng, Yi Li, Xuejin Zhao
Multiple Solutions For An Inhomogeneous Semilinear Elliptic Equation In Rn, Yinbin Deng, Yi Li, Xuejin Zhao
Mathematics and Statistics Faculty Publications
No abstract provided.
An Algebraic Characterization Of Projective-Planar Graphs, Lowell Abrams, Dan Slilaty
An Algebraic Characterization Of Projective-Planar Graphs, Lowell Abrams, Dan Slilaty
Mathematics and Statistics Faculty Publications
We give a detailed algebraic characterization of when a graph G can be imbedded in the projective plane. The characterization is in terms of the existence of a dual graph G∗ on the same edge set as G which satisfies algebraic conditions inspired by homology groups and intersection products in homology groups.
Asymptotic Solutions Of Diffusion Models For Risk Reserves, Sally S. L. Shao
Asymptotic Solutions Of Diffusion Models For Risk Reserves, Sally S. L. Shao
Mathematics and Statistics Faculty Publications
We study a family of diffusion models for risk reserves which account for the investment income earned and for the inflation experienced on claim amounts. After we defined the process of the conditional probability of ruin over finite time and imposed the appropriate boundary conditions, classical results from the theory of diffusion processes turn the stochastic differential equation to a special class of initial and boundary value problems defined by a linear diffusion equation. Armedwith asymptotic analysis and perturbation theory, we obtain the asymptotic solutions of the diffusion models (possibly degenerate) governing the conditional probability of ruin over a finite …