Representation and stability of solutions of systems of functional differential equations with multiple delays

By M. Pospísil. 2012

67 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7ea1dc16e67ee4556d6e43f38dd806e8717e826f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Josef Diblík
2. Michal Feckan
3. M. Pospísil
4. Nazim Idrisoglu Mahmudov

In Numerical Analysis

1. M. Pospísil
2. Josef Diblík
3. Michal Feckan
4. Blanka Morávková

Citations in the corpus

• Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices (2013, background): “Their asymptotic properties and controllability were investigated in [6, 11, 12, 14, 15].”