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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Integral equations with bubble-type kernel via the method of moving spheres
运动球体 气泡型核 积分方程
2023/4/27
In this talk, I will describe a moving sphere approach to a class of integral equations with bubble-type kernel. This class of equations comes from higher-order elliptic equations on the standard sphe...
Operational methods and Lorentz-type equations of motion
Operational methods Lorentz-type equations of motion
2010/12/9
We propose an operational method for the solution of di erential equations involv-ing vector products. The technique we propose is based on the use of the evolution operator, de ned in such a way that...
Classification of conservative hydrodynamic chains. Vlasov type kinetic equation, Riemann mapping and the method of symmetric hydrodynamic reductions
hydrodynamic chains kinetic equation hydrodynamic reductions
2010/4/7
A complete classification of integrable conservative hydrodynamic chains is presented. These hydrodynamic chains are written via special coordinates -- moments, such that right hand sides of these inf...
On a Certain Volterra-Fredholm Type Integral Equation
Volterra-Fredholm type integral equation Banach fixed point theorem integral inequality Bielecki type norm existence and uniqueness continuous dependence
2010/1/22
The aim of this paper is to study the existence, uniqueness and other properties of solutions of a certain Volterra-Fredholm type integral equation. The main tools employed in the analysis are based o...
In this paper, we provide some Feng Qi type q-Integral Inequalities, by using analytic and elementary methods in Quantum Calculus.
Lyapunov-type Inequalities for Certain Nonlinear Systems on Time Scales
Nonlinear systems Hamiltonian systems Lyapunov - type inequality Discongugacy Generalized zero Time Scale
2010/2/25
In this study, we prove Lyapunov-type inequalities for certain nonlinear systems on an arbitrary time scale T by using elementary time scale calculus. These inequalities enable us to obtain a criterio...
Mixed Type of Integral Equation with Potential Kernel
Fredholm integral equations Potential kernel Legendre and Jacobi polynomials Weber-Sonien integral
2010/2/25
This paper presents the solution of an integral equation of a mixed type in three-dimensions in the space L2 (W) \times C[0,T], where T < \infty, and W is the domain of integration with respect to pos...