Interlineation of functions of two variables on M(M>-2) lines preserving the class Cr(R2)

An algorithm for constructing the operator O_Mn({_kx}; x, y) with the properties

The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations

We study nonnegative solutions of the initial value problem for a weakly coupled system

Existence,uniqueness and convergence as vanishing viscosity for a reaction-diffusion-convection system

A simple qualitative model of dynamic combustion

A semilinear parabolic system in a bounded domain

Consider the system

The probabilistic solution of the third boundary value problem for second order elliptic equations

Using standard reflected Brownian motion (SRBM) and martingales we define (in the spirit of Stroock and Varadhan-see [S-V]) the probabilistic solution of the boundary value problem

On positive solutions of quasilinear elliptic systems

In this paper, we consider the existence and nonexistence of positive solutions of degenerate elliptic systems where –_p is the p-Laplace operator, p > 1 and is a C ^1,-domain in . We prove an analogue of [7, 16] for the eigenvalue problem with and obtain a non-existence result of positive solutions for the general systems.     

Finite difference schemes of the nonlinear pseudo-parabolic system

ＦＩＮＩＴＥＤＩＦＦＥＲＥＮＣＥＳＣＨＥＭＥＳＯＦＴＨＥＮＯＮＬＩＮＥＡＲＰＳＥＵＤＯ－ＰＡＲＡＢＯＬＩＣＳＹＳＴＥＭＤＵＭＩＮＧＳＨＥＮＧ（杜明笙）（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＰｈｙｓｉｃｓａｎｄＣｏｍｐｕｔａｔｉｏｎａｌＭａｔｈｅｍａｔ...     

Fourier-integral-operator product representation of solutions to first-order symmetrizable hyperbolic systems

We consider the first-order Cauchy problem

Generalized sine equations,II

In this paper we solve the equations

A new class of symmetric (v,k, λ)-designs

We construct new families of symmetric (v, k, )-designs with parameters

Existence and asymptotic behaviour of solutions of a nonlinear evolution problem

We prove existence and asymptotic behaviour of a weak solutions of a mixed problem for where A is the pseudo-Laplacian operator.     

Variational Inclusion Systems in $\mathbb{R}^N$

The authors study the existence of nontrivial solutions to p-Laplacian variational inclusion systems

Structures and uniqueness conditions of MK-weighted pseudoinverses

For given matricesM, A andK of appropriate sizes, we study the following two kinds of MK-weighted pseudoinverses ofA. The first kind of weighted pseudoinverseX is characterized by the following four Moore-Penrose like conditions:

On the asymptotic stability ofθ-methods for delay differential equations

Stability regions of -methods for the linear delay differential test equations

Brownian motion with negative drift and convex level sets in space-time

Suppose a, b, and are reals witha<b and consider the following diffusion equation

On the surjectivity of the almost linear operator and its applications

LetL be a self-adjoint linear operator andN be the gradient of a functional ϕ, which is almost quadratic. We first give a theorem on the surjectivity of the operatorL+N, then apply the result to semilinear elliptic systems:

Uniformly maldistributed sequences in a strict sense

It is shown that the following three limits

Global convergence result for conjugate gradient methods

Conjugate gradient optimization algorithms depend on the search directions,

On a Singular Two-Point Boundary Value Problem for the Nonlinear mth-Order Differential Equation with Deviating Arguments

Sufficient conditions of solvability and unique solvability of the boundary value problem are established, where are measurable functions and the vector function is measurable in the first and continuous in the last kmn arguments; moreover, this function may have nonintegrable singularities with respect to the first argument.     

On the Existence of Positive Eigenvalues for Semilinear Elliptic Equation on all of R d

In this paper, we consider a problem of the form