Multiple fixed points of weakly inward mappings are investigated 
by means of ordinary differential equations in abstract spaces.

Jingxian  Sun

Yong  Sun

A theorem on many fixed points for nonlinear operator

In this paper, the stability properties of nonlinear difference equations of 
Volterra type is discussed. For this purpose some comparison Theorems are developed, 
then using these results the stability of the nonlinear difference equations of Volterra 
type is investigated.

M.  Zouyousefain

Difference equations of Volterra type and extension of Lyapunov's method

The paper deals with a study of linear Volterra integral equations involving 
Lebesgue-Stieltjes integrals in two independent variables. The authors prove an 
existence theorem using the Banach fixed-point principle. An explicit example is 
also considered.

P. T. Vaz

S. G. Deo

On a Volterra Stieltjes integral equation

We study a nonhomogeneous quasi-linear parabolic equation and introduce a 
method that allows us to find the solution of a nonlinear boundary value problem 
in &#147;explicit&#148; form. This task is accomplished by perturbing the original equation 
with a source function, which is then found as a solution of some nonlinear 
operator equation.

Igor  Malyshev

On some perturbation techniques for quasi-linear parabolic equations

The aim of the paper is to give two theorems about 
existence and uniqueness of continuous solutions for hyperbolic 
nonlinear differential problems with nonlocal conditions in 
bounded and unbounded domains. The results obtained in this 
paper can be applied in the theory of elasticity with better effect than analogous known results with classical initial conditions.

L.  Byszewski

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An existence theorem is proved for a nonlinear Volterra integral equation with 
deviating arguments.

K.  Balachandran

S.  Ilamaran

An existence theorem for a Volterra integral equation with deviating arguments

We report some results on nonstandard potentials and their application to solution 
of the Stefan problem.

On nonstandard potentials in a Stefan problem

Application problems are investigated for the Markov chains with quasitoeplitz
transition matrix. Generating functions of transient and steady state probabilities, first 
zero hitting probabilities and mean times are found for various particular cases, 
corresponding to some known patterns of feedback ( &#147;warm-up,&#148; &#147;switch at threshold&#148; 
etc.), Level depending dams and queue-depending queueing systems of both <mml:math alttext="${{{M \mathord{\left/  {\vphantom {M G}} \right.  \kern-\nulldelimiterspace} G}} \mathord{\left/  {\vphantom {{{M \mathord{\left/  {\vphantom {M G}} \right.  \kern-\nulldelimiterspace} G}} 1}} \right.  \kern-\nulldelimiterspace} 1}$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mrow><mml:mrow><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mi>G</mml:mi></mml:mrow></mml:mrow><mml:mo>/</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> and
<mml:math alttext="${{{{MI} \mathord{\left/  {\vphantom {{MI} G}} \right.  \kern-\nulldelimiterspace} G}} \mathord{\left/  {\vphantom {{{{MI} \mathord{\left/  {\vphantom {{MI} G}} \right.  \kern-\nulldelimiterspace} G}} 1}} \right.  \kern-\nulldelimiterspace} 1}$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mrow><mml:mrow><mml:mrow><mml:mi>M</mml:mi><mml:mi>I</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mi>G</mml:mi></mml:mrow></mml:mrow><mml:mo>/</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> types with arbitrary random sizes of arriving and departing groups are studied.

A. M. Dukhovny

Markov chains with quasitoeplitz transition matrix: applications

For weighted sums of independent and identically distributed 
random variables, conditions are placed under which a generalized law of the iterated logarithm cannot hold, thereby extending the usual nonweighted situation.

Andr&#233;  Adler

On the nonexistence of a law of the iterated logarithm for weighted sums of identically distributed random variables

We study a <mml:math alttext="$C^{\left( 1 \right)} $" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>C</mml:mi><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:math> parabolic and a <mml:math alttext="$C^{\left( 2 \right)} $" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>C</mml:mi><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:math> quartic spline which are determined by 
solution of a tridiagonal matrix and which interpolate subinterval midpoints. In 
contrast to the cubic <mml:math alttext="$C^{\left( 2 \right)} $" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>C</mml:mi><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:math> spline, both of these algorithms converge to any continuous 
function as the length of the largest subinterval goes to zero, regardless of &#147;mesh ratios&#148;. 
For parabolic splines, this convergence property was discovered by Marsden [1974]. The 
quartic spline introduced here achieves this convergence by choosing the second 
derivative zero at the breakpoints. Many of Marsden's bounds are substantially 
tightened here. We show that for functions of two or fewer coninuous derivatives the 
quartic spline is shown to give yet better bounds. Several of the bounds given here are 
optimal.

Gary W. Howell

Error bounds for two even degree tridiagonal splines

Jewgeni Dshalalow

Richard F. Melka

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International Journal of Stochastic Analysis - Table of contents 1990

International Journal of Stochastic Analysis | Hindawi

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International Journal of Stochastic Analysis

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International Journal of Stochastic Analysis