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Now showing items 1-6 of 6

#### 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) ...

#### Random fixed point theory in spaces with two metrics

(2003)

We present new random fixed point theorems in spaces with two metrics. Our results extend recent results of Tan and Yuan [10] and Xu [11].

#### Common fixed point theorems for a pair of countably condensing mappings in ordered Banach spaces

(2003)

In this paper some common fixed point theorems for a pair of multivalued weakly isotone mappings on an ordered Banach space are proved.

#### A non-markovian queueing system with a variable number of channels

(2003)

In this paper we study a queueing model of type GI/M/m̃a/∞ with m parallel channels, sonic of which may suspend their service at specified random moments of time. Whether or not this phenomenon occurs depends on the queue ...

#### Existence theory for single and multiple solutions to semipositone discrete dirichlet boundary value problems with singular dependent nonlinearities

(2003)

In this paper we establish the existence of single and multiple solutions to the semipositone discrete Dirichlet boundary value problem {Δ²y(i - 1) + μf(i, y(i)) = 0, i ∈ {1, 2, ..., T} y(0) = y(T + 1) = 0, where μ > 0 is ...

#### Multiple positive solutions for a class of quasilinear elliptic boundary-value problems

(2003)

Using variational arguments we prove some nonexistence and multiplicity results for positive solutions of a class of elliptic boundary-value problems involving the p-Laplacian and a parameter.