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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Eigenvalues of boundary value problems with transmission conditions and eigenparameter-dependent boundary conditions
传输条件 本征参数 相关边界条件 边值问题 本征值
2023/5/16
In this talk, we mainly show some eigenvalue properties of second order Sturm-Liouville problems and third-order boundary value problems with both transmission conditions and eigenparameter-dependent ...
Boundary Value Problems for Differential Equations of Fractional Order
Boundary Value Problems Fractional Order
2012/8/10
We carry out spectral analysis of one class of integral op-
erators associated with fractional order differential equations that arise in
mechanics. We establish a connection between the eigenvalues...
Solving Two-Point Boundary Value Problems of Fractional Differential Equations by Spline Collocation Methods
Caputo抯 derivatives Collocation methods Cubic spline functions Riemann-Liouvillefractional derivative
2012/8/10
We use collocation methods to solve fractional boundary value problems. Analytically, we study the
existence and uniquenes theorem of the collocation solutions, and discuss some error estimates. We
...
Solving Two-Point Boundary Value Problems of Fractional Differential Equations
Caputo抯 derivatives Riemann-Liouville Derivatives Fractional differential equation Twopointboundary value problem Existence and uniqueness Single shooting method
2012/8/8
We solve four kinds of two-point boundary value problems of fractional differential equations with
Caputo抯 derivatives or Riemann-Liouville Derivatives. Analytically, we introduce the fractional Gree...
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...
Haar Wavelet Quasilinearization Approach for Solving Nonlinear Boundary Value Problems
Haar Wavelets Quasilinearization Technique Haar Collocation Method Boundary Value Problems
2013/1/30
Objective of our paper is to present the Haar wavelet based solutions of boundary value problems by Haar collocation method and utilizing Quasilinearization technique to resolve quadratic nonlinearity...
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...
Well-posedness of a Class of Non-homogeneous Boundary Value Problems of the Korteweg-de Vries Equation on a Finite Domain
Class of Non-homogeneous Boundary Value Problems Korteweg-de Vries Equation Finite Domain
2011/1/18
In this paper, we study a class of initial and boundary value problems proposed by Colin and Ghidalia for the Korteweg-de Vries equation posed on a bounded domain (0, L).We show that the initial-value...
Lie symmetries of nonlinear boundary value problems
Lie symmetries nonlinear boundary value problems
2011/2/28
Nonlinear boundary value problems (BVPs) by means of the classical Lie symmetry method are studied. A new definition of Lie invariance for BVPs are proposed by the gen-eralization of existing those on...
A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi Equations
Large-time Behavior Hamilton-Jacobi Equations Initial-Boundary Value Problem
2011/1/18
We investigate the large-time behavior of three types of initial-boundary value problems for Hamilton-Jacobi Equations with nonconvex Hamiltonians.
Existence and approximation of solutions for nonlocal boundary value problems with mixed nonlinearities
Quasilinearization three-point boundary value problem
2010/9/20
In this paper, we study a second-order boundary value problem involving mixed nonlinearities in the differential equation and nonlinear nonlocal general three-point boundary conditions. We develop a g...
Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type
Boundary value problems Riemannian the noncompact Type
2010/11/11
We characterize the image of the Poisson transform on each boundary component of a Riemannian symmetric space of the noncompact type by a system of differential equations. The system corresponds to a...
Two-point boundary value problems and exact controllability for several kinds of linear and nonlinear wave equations
wave equation two-point boundary value problem global exact controllability exact controllability Dirichlet boundary condition Neumann boundary condition hyperbolic curvature flow Gage-Hamilton’s theorem
2018/4/19
In this paper we introduce some new concepts for second-order hyperbolic equations: two-point boundary value problem, global exact controllability and exact controllability. For several kinds of impor...
Triple positive solutions of four-point singular boundary value problems for p-Laplacian dynamic equations on time scales
Time scales Four-point singular boundary value problems
2010/9/15
Let T be a time scale. We study the existence of three positive solutions for the nonlinear four-point singular boundary value problem with p-Laplacian operator on time scales. Some new results are ob...