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- Title
REPRESENTATION AND STABILITY OF SOLUTIONS OF SYSTEMS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS.
- Authors
POSPÍŠIL, MICHAL
- Abstract
This paper is devoted to the study of systems of nonlinear functional differential equations with time-dependent coefficients and multiple variable increasing delays represented by functions gi(t) < t. The solution is found in terms of a piecewise-defined matrix function. Using our representation of the solution and Gronwall's, Bihari's and Pinto's integral inequalities, asymptotic stability results are proved for some classes of nonlinear functional differential equations with multiple variable delays and linear parts given by pairwise permutable constant matrices. The derived theory is illustrated on nontrivial examples.
- Subjects
REPRESENTATION theory; STABILITY theory; SYSTEM analysis; NUMERICAL solutions to functional differential equations; MATRIX functions; INTEGRAL inequalities
- Publication
Electronic Journal of Qualitative Theory of Differential Equations, 2012, Issue 50-74, p1
- ISSN
1417-3875
- Publication type
Article
- DOI
10.14232/ejqtde.2012.1.54