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Empirical likelihood for first-order random coefficient integer-valued autoregressive processes
INAR model Conditional least square Asymptotic distribution Hypothesis Testing Maximum empirical likelihood
2011/11/5
This paper studies the empirical likelihood method for a first-order random coefficient integer-valued autoregressive model. The limiting distribution of the log empirical likelihood ratio statistic i...
Quasi-periodic Solutions for 2k Order Wave Equations
2k order wave equations KAM theory Quasi-periodic solutions Partial Birkhoff normal form
2011/10/18
In this paper, we consider one-dimensional (1D) nonlinear 2k order wave equations under the Dirichlet boundary conditions, weher the nonlinearity f is an analytic, odd function. It is proved that for ...
Modified projective synchronization of fractional-order chaotic systems with different dimensions
Modified projective synchronization Fractional-order chaotic systems Laplace transformation
2011/10/18
In this letter, the modified projective synchronization between two fractional-order chaotic systems with different dimensions is investigated. The added-order scheme and the reduced-order scheme are ...
Exact controllability for the fourth order Schr鰀inger equation
Fourth order Schr鰀inger equation HUM method Controllability Multiplier
2011/10/15
In this paper the boundary controllability of the fourth order Schr"odinger equation in bounded domains is studied. By means of a L2-Neumann boundary control, it is proven that the solution is exactly...
The Quenching Phenomena for Fourth-order Nonlinear Parabolic Equationos
Quenching phenomena fourth-order parabolic equation Quenching time
2011/10/15
In this paper, we investigate the quenching phenomena of initial boundary value problem for the fourth-order nonlinear parabolic equations in bounded domains. First, we not only obtain quenching pheno...
The quenching phenomena for second-order nonlinear parabolic equation with nonlinear source
Parabolic equation Quenching phenomena Unbounded domain
2011/10/15
In this paper, we investigate the quenching phenomena of the Cauchy problem for the second-order nonlinear parabolic equation on unbounded domain. It is shown that the solution quenches in finite time...
Semipositone Problems of Second Order Ordinary Differential Equations
Positive solution Semipositone boundary value problem Ordinary differential equation
2011/10/12
The paper is concerned with the semipositone boundary value problems of second-order ordinary differential equations. Applying a fixed point theorem in cones, an existence result of at least one posit...
Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems
nonlinear fourth-order boundary value problems positive solution existence multiplicity fixed point theorem on cone Leray-Schauder continuous principle
2011/10/12
The authors apply Leray-Schauder continuous principle theorem and Krasnosel’skii fixed point theorem of cone expansion-compression type to a class of nonlinear fourth-order two-point boundary value pr...
Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems
nonlinear fourth-order boundary value problems positive solution existence multiplicity fixed point theorem on cone Leray-Schauder continuous principle
2011/10/12
The authors apply Leray-Schauder continuous principle theorem and Krasnosel’skii fixed point theorem of cone expansion-compression type to a class of nonlinear fourth-order two-point boundary value pr...
Oscillation and non-oscillation of second-order half-linear differential equations
Half-linear differential equations oscillation non-oscillation
2011/10/12
In this paper, we consider the oscillation and non-oscillation of second order half-linear differential equation. By using some new technique, we establish new oscillation and non-oscillation criteria...
Inflationary non-Gaussianities in the most general second-order scalar-tensor theories
Inflationary non-Gaussianities in the most general second-order scalar-tensor theories
2011/10/14
For very general scalar-field theories in which the equations of motion are at second-order, we evaluate the three-point correlation function of primordial scalar perturbations generated during inflat...
A Fourth Order Improved Numerical Scheme for the Generalized Burgers—Huxley Equation
Burgers-Huxley Finite-Difference Method Modified Predictor-Corrector
2013/1/30
A fourth order finite-difference scheme in a two-time level recurrence relation is proposed for the numerical solution of the generalized Burgers--Huxley equation. The resulting nonlinear system, whic...
Periodic Solutions for Some Second Order Hamiltonian Systems
Second order Hamiltonian systems Periodic solutions Saddle point theorems
2011/9/25
We use saddle point theorems of Benci-Rabinowitz and Silva to study the existence of periodic solutions with a fixed energy for a few second order Hamiltonian conservative systems without any symmetry...
A consistent first-order model for relativistic heat flow
consistent first-order model relativistic heat flow
2011/10/18
This paper revisits the problem of heat conduction in relativistic fluids, associated with issues concerning both stability and causality. It has long been known that the problem requires information ...
Local Scale-Dependent Non-Gaussian Curvature Perturbations at Cubic Order
E ective Field Theory Cosmology In ation Non-Gaussianity
2011/10/17
We calculate non-Gaussianities in the bispectrum and trispectrum arising from the cubic term in the local expansion of the scalar curvature perturbation. We compute to three-loop order and for general...