## Search

Now showing items 1-10 of 66

#### A Furi-Pera theorem in Hausdorff topological spaces for acyclic maps

(2004)

We present new Furi-Pera theorems for acyclic maps between topological spaces.

#### Reaction-Diffusion in Nonsmooth and Closed Domains

(2006-11-30)

We investigate the Dirichlet problem for the parabolic equation in a nonsmooth and closed domain possibly formed with irregular surfaces and having a characteristic vertex point. Existence, boundary regularity, uniqueness, ...

#### Multidimensional Kolmogorov-Petrovsky test for the boundary regularity and irregularity of solutions to the heat equation

(2005)

This paper establishes necessary and sufficient condition for the regularity of a characteristic top boundary point of an arbitrary open subset of ( ) for the diffusion (or heat) equation. The result implies asymptotic ...

#### An upper and lower solution approach for a generalized Thomas–Fermi theory of neutral atoms

(2002-04)

An upper and lower solution theory for boundary value problems modeled from the Thomas-Fermi equation, was presented. The approach was subjected to a boundary condition corresponding to the neutral atom with Bohr radius. ...

#### Sign-changing and multiple solutions for the p-Laplacian

(2002-06-25)

We obtain a positive solution, a negative solution, and a sign-changing solution for a class of p-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.

#### Maintenance in Single-Server Queues: A Game-Theoretic Approach

(2009)

We use antagonistic stochastic games and fluctuation analysis to examine a single-server queue with bulk input and secondary work during server's multiple vacations. When the buffer contents become exhausted the server ...

#### Oscillation criteria for a class of partial functional-differential equations of higher order

(2002)

Higher order partial differential equations with functional arguments including hyperbolic equations and beam equations are studied. Sufficient conditions are derived for every solution of certain boundary value problems ...

#### The Kolmogorov equation with time-measurable coefficients

(2003-07-13)

Using both probabilistic and classical analytic techniques, we investigate the parabolic Kolmogorov equation
$$
L_t v +\frac {\partial v}{\partial t}\equiv \frac 12 a^{ij}(t)v_{x^ix^j}
+b^i(t) v_{x^i} -c(t) v+ f(t) ...

#### Multiple positive solutions of singular discrete p-Laplacian problems via variational methods

(2005)

We obtain multiple positive solutions of singular discrete p-Laplacian problems using variational methods.

#### A positive solution for singular discrete boundary value problems with sign-changing nonlinearities

(2005-03-02)

This paper presents new existence results for the singular discrete boundary value problem - Δ²u(k - 1) = g(k, u(k)) + λh(k,u(k)), k ∈ [1,T], u(0) = 0 = u(T + 1). In particular, our nonlinearity may be singular in its ...