GENERALIZED MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE DIFFERENTIAL SYSTEMS

TitleGENERALIZED MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE DIFFERENTIAL SYSTEMS
Publication TypeJournal Article
Year of Publication2010
AuthorsWEST, IANNAH, VATSALA, AS
Secondary TitleCommunications in Applied Analysis
Volume14
Issue3
Start Page301
Pagination310
Date Published08/2010
Type of Workscientific: mathematics
ISSN1083–2564
AMS34A37, 34C60., 93C15
Abstract
Systems of differential equations with impulses can occur in the mathematical modeling of science and engineering. Using upper and lower solutions, we will develop the generalized monotone iterative method for impulsive differential systems where the forcing functions are sums of nondecreasing and nonincreasing functions.
URLhttp://www.acadsol.eu/en/articles/14/3/2.pdf
Short TitleGENERALIZED MONOTONE ITERATIVE TECHNIQUE
Refereed DesignationRefereed
Full Text

REFERENCES

[1] D. D. Bainov, D. D., V. Lakshmikantham, P. S. Simeonov, Theory of Impulsive Differential Equations, World Scientific Publishing Co. Pte. Ltd., Singapore, 1989.
[2] S. KoKsal and V. Lakshmikantham, Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations, Taylor and Francis Inc., London, 2003.
[3] G. S. Ladde, V. Lakshmikantham, and A. S. Vatsala, Monotone Iterative Techniques for Nonlinear Differential Equations, Pitman Publishing Inc., Boston, 1985.
[4] C. V. Pao, Nonlinear Parabolic and Elliptic Equations, Plenum Publishers, Boston, 1992.
[5] A.S. Vatsala, and I.H. Reed, Generalized Monotone Iterative Method for Initial Value Problems, Applied Mathematics Letters 17 (2004), 1231–1237.
[6] Ianna H. West and A.S. Vatsala, Generalized Monotone Iterative Method for Second Order Boundary Value Problems, Neural, Parallel and Scientific Computations 13 (2004), 213–227.
[7] Ianna H. West and A.S. Vatsala, Generalized Monotone Iterative Method for Integro-differential Equations with Periodic Boundary Conditions, Mathematical Inequalities and Applications 10 (2007), 151–163.