GENERALIZED VARIATIONAL COMPARISON THEOREMS AND NONLINEAR ITERATIVE PROCESS UNDER RANDOM PARAMETRIC PERTURBATIONS

TitleGENERALIZED VARIATIONAL COMPARISON THEOREMS AND NONLINEAR ITERATIVE PROCESS UNDER RANDOM PARAMETRIC PERTURBATIONS
Publication TypeJournal Article
Year of Publication2010
AuthorsLADDE, GS, SAMBANDHAM, M
Secondary TitleCommunications in Applied Analysis
Volume14
Issue3
Start Page273
Pagination300
Date Published08/2010
Type of Workscientific: mathematics
ISSN1083–2564
Abstract
In this article we develop basic mathematical tool to study the discrete time stochastic processes. Using these tools we develop comparison results, stability properties and error estimates.
URLhttp://www.acadsol.eu/en/articles/14/3/1.pdf
Short TitleGENERALIZED VARIATION COMPARISON THEOREMS
Refereed DesignationRefereed
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REFERENCES

[1] J. F. Chamayou and J. L. Dunau, Random difference equations: an asymptotical result, J. Comput. Appl. Math. 154 (2003), no. 1, 183–193.
[2] J. F. Chamayou and J. L. Dunau, Random difference equations with logarithmic distribution and the triggered shot noise, Adv. in Appl. Math. 29 (2002) no. 3, 454–470.
[3] Francesco S. De Blasi and Jozef Myjak, Some remarks on random difference equations, Opuscula Math. 6 (1990) 29–39.
[4] Tsukasa Fujiwara, Limit theorems for random difference equations driven by mixing processes, J. Math. Kyoto Univ. 32 (1992) no. 4, 763–795.
[5] G. S. Ladde and V. Lakshmikantham, Random differential inequalities, Mathematics in Science and Engineering 150 Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980.
[6] G. S. Ladde and M. Sambandham, Stochastic versus deterministic, Math. Comput. Simulation 24 (1982) no. 6, 507–514.
[7] G. S. Ladde and M. Sambandham, Random difference inequalities, Trends in the Theory and Practice of Nonlinear Analysis, 231–240, North-Holland, Amsterdam, 1985.
[8] G. S. Ladde and M. Sambandham, Numerical solutions to stochastic difference equations, Nonlinear Analysis and Applications 279–287, Lecture Notes in Pure and Appl. Math., 109, Dekker, New York, 1987.
[9] G. S. Ladde and M. Sambandham, Variation of constants formula and error estimate to stochastic difference equations, J. Math. Phys. Sci. 22 (1988) no. 5, 557–584.
[10] G. S. Ladde and M. Sambandham, Stochastic Versus Deterministic Systems of Differential Equations, Marcel Dekker, Inc., New York, 2004.
[11] V. Lakshmikantham and Donato Trigiante, Theory of Difference Equations: Numerical Methods and Applications, second edition, Marcel Dekker, Inc.m, New York, 2002.