二阶中立型双曲偏泛函微分方程解的振动性质

研究一类二阶中立型双曲偏泛函微分方程解的振动性质，获得了在齐次Dirichlet，Neumann和Robin边界条件下，解振动或非振动的充分条件．     

关于一类中立型偏微分方程

本文研究了一类一阶脉冲中立型偏泛函微分方程mild解的存在性和唯一性,改进并推广了文[11]的结果。     

A Clifford Algebraic Framework for $$\mathfrak{sp}(m)$$-Invariant Differential Operators

We introduce a framework for studying differential operators which are invariant with respect to the real (complex) symplectic Lie algebra ( ), associated to a quaternionic structure on a vector space . To do so, these algebras are realized within the orthogonal Lie algebra . This leads in a natural way to a refinement of the recently introduced notion of complex Hermitean Clifford analysis, in which four variations of the classical Dirac operator play a dominant role. David Eelbode: Postdoctoral fellow supported by the F.W.O. Vlaanderen (Belgium).     

On the Existence and Stability of Solutions for a System of Elliptic Equations

We show, using a dual variational method developed in the paper, the existence of solutions for a system of Dirichlet problems for partial differential equations involving p– and q–Laplacian. The stability of solutions and the existence of positive solutions is considered in the superlinear case.      

一类二阶中立型偏泛函微分方程的振动性

获得了一类具连续偏差变元二阶非线性中立型偏微分方程的振动性的充分性条件.     

一类高阶中立型偏微分方程组解的振动性

In this paper, sane sufficient conditions are obtained for the oscillation for solutions of systems of high order partial differential equations of neutral type.     

二阶中立型泛函微分方程的振动性

本文获得了一类具连续偏差变元的二阶中立型泛函微分方程[a(t)b(x(t))h((x(t) p(t)x(τ(t)))′]′] ∫baF(t,ξ,x[g(t,ξ)])dσ(ξ)=0振动的充分条件     

The Distribution Solutions of Ordinary Differential Equation with Polynomial Coefficients

Consider the Differential Equation of the form ty⁽ⁿ⁾(t) + my^(n–1)(t) + ty(t) = 0 (1) where m is any integer and n 2 for t (–, ). It is found that the values of m make the solutions of (1) to be classical, that is the solutions in the space C(–, ) of continuous functions, or the Distributions which are the solutions in the space D_R of Distributions whose supports are bounded on the left.AMS Subject Classification (1991) 46F10     

Regular Problems for Semilinear Hyperbolic Type Equations

In this paper we establish the wellposedness and regularity properties of solutions of Cauchy problems for semilinear hyperbolic equations of second order with unbounded principal operators. An example illustrating how our results apply is given.      

二阶非线性中立型微分方程的振动性和渐近性

本文建立了一类非线性二阶中立型微分方程一切解振动或者渐近趋于零的充要条件。     

A Functional Calculus for n-Tuples of Noncommuting Operators

We employ the notion of slice monogenic functions to define a new functional calculus for an n-tuple of not necessarily commuting operators. This calculus is consistent with the Riesz-Dunford calculus for a single operator. Received: October, 2007. Accepted: February, 2008.     

Nonclassical Solutions of Fully Nonlinear Elliptic Equations

We prove the existence of non-smooth solutions to fully non-linear elliptic equations. Received: June 2006, Accepted: January 2007     

On the Existence of Periodic Solutions for a Kind of Second Order Neutral Functional Differential Equation

By means of the continuation theorem of coincidence degree theory, some new results on the non-existence, existence and unique existence of periodic solutions for a kind of second order neutral functional differential equation are obtained.     

二阶非线性中立型微分方程的振动性

研究中立型微分方程 [r(t) (y(t) p(t)y(t-τ) )′]′ q(t)f[y(t-σ) ]=0的振动性 .改进并推广了几个已有结果 .     

偶数阶拟线性中立型偏微分方程系统的振动性定理

获得了一类偶数阶拟线性偏泛函微分方程系统振动的若干充分条件.     

On Existence and Multiplicity of Solutions for Elliptic Equations Involving the p-Laplacian

In the present paper, the following Dirichlet problem and Neumann problem involving the p-Laplacian

具非正系数的二阶中立型泛函微分方程的渐近性

本文讨论一类具非正系数的二阶中立型泛函微分方程非振动解的渐近性类型与判别,我们给出了非振动解的四种渐近性类型及其判别准则,这些判别准则都是充分必要条件。     

An Existence Result for a Problem with Critical Growth and Lack of Strict Convexity

We prove the existence of a nontrivial solution for a quasilinear elliptic equation involving a nonlinearity having critical growth and a convex principal part, which is not required to be strictly convex. Supported by MURST, Project “Variational Methods and Nonlinear Differential Equations”.     

Existence of Positive Solutions for a Class of Sigular Boundary Value Problem of Fourth Order

Some results concerning existence of positive solutions for the singular boundary value problems u^(4)(t)=f(t,u(t)) t∈（0,1) u(0)=u(1)=0 u‘(0)=u‘(1)=0 have been given, where f(t, x) may be singular at t = 0, 1.