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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for a Kirchhoff-type fractional coupled problem with p-Laplacian
p-Laplacian算子 Kirchhoff型分数 耦合问题 多重解
2023/11/13
We discuss a class of two-parameters coupled Kirchhoff-type fractional differential equations. Two differentiated methods are used to prove the existence of two solutions to the equation. The fundamen...
On uniform continuous dependence of solution of Cauchy problem on a parameter
uniform continuity equicontinuity Classical Analysis and ODEs
2012/5/9
Suppose that an $n$-dimensional Cauchy problem \frac{dx}{dt}=f(t,x,\mu) (t \in I, \mu \in M), x(t_0)=x^0 satisfies the conditions that guarantee existence, uniqueness and continuous dependence of solu...
A note on the R. Fuchs's problem for the Painleve equations
Painleve equations Isomonodromic deformation Ordinary differential equations
2012/4/17
In this article we consider a first-order completely integrable system of partial differential equations $\partial \Fi/partial x=A(x, t) \Fi, \partial \Fi/partial t=B(x, t) \Fi$ with $\Fi=(\fi_1, \fi_...
Singular Nonlinear Boundary Value Problem in The Theory of Dilatant Non-Newtonian Fluids
Dilatant non-Newtonian fluids similarity solution nonlinear boundary value problem
2011/10/13
A rigorous proof of existence and uniqueness of solutions to a singular nonlinear boundary value problem in the theory of Dilatant non-Newtonian fluids is given and a theoretical estimate formula for ...
Uniform convergence analysis of an upwind finite difference approximations of an homogenous singularly perturbed boundary value problem using grid equidistribution
singular perturbation adaptive grid rate of convergence error estimate
2011/10/13
We derive varepsilon-uniform error estimates for two first-order upwind discretizations of a model inhomogeneous, second-order, singularly perturbed boundary value problem on a non-uniform grid. Here,...
Existence and Multiplicity of Symmetric\ Positive Solutions for Three-point\ Boundary Value Problem
Symmetric positive solution Multiplicity Three-point boundary value problem Fixed point theorem Cone
2011/10/11
This paper is concerned with the existence and multiplicity ofsymmetric positive solutions for the following second-orderthree-point boundary value problem:u''(t)+a(t)f(t,u(t))=0, 0
Stability of solutions to some evolution problem
Dissipative dynamical systems Lyapunov stability evolution problems
2011/1/21
Large time behavior of solutions to abstract differential equations is studied.
The Period-Index Problem for the Stack of Regularly Stable Sp(2n)-Bundles over a Curve
Period-Index Problem Stack of Regularly Stable Sp(2n)-Bundles
2010/12/9
Let Sp2n be the symplectic group over k, an algebraically closed field of characteristic 0; and let X denote a smooth, projective, connected curve over k of genus g 2. There is a stack Bunrs Sp2n of...
Stability Criteria and Turbulence Paradox Problem For Type II 3D Shears
Type II 3D shear turbulence paradox channel flow hydrodynamic stability
2010/12/16
There are two types of 3D shears in channel flows: (U(y, z), 0, 0)and (U(y), 0,W(y)). Both are important in organizing the phase space structures of the channel flows. Stability criteria of the type I...
On the stability problem for the $\mathfrak{so}(5)$ free rigid body
free rigid body equilibrium nonlinear stability instability
2010/12/6
n the general case of the so(n) free rigid body we will give a list of integrals of motion, which generate the set of Mishchenko’s integrals. In the case of so(5) we prove that there are fifteen coord...
The periodic Cauchy problem for Novikov's equation
periodic Cauchy problem Novikov's equation
2010/12/3
We study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by V. Novikov. We show the local well-posedness of the problem in Sobolev spaces and existence and ...
Difference Method for a Singularly Perturbed Initial Value Problem
Initial Value Problem discrete maximum norm
2010/3/4
In this paper we construct a completely exponentially fitted finite difference scheme for the initial value problem with small parameter by first and second derivatives. We prove the first order unifo...