Generalized variation-of-constants formula for nonlinear functional differential equations

The generalized variation of constants formula and variation of comparison theorems developed by Ladde for nonlinear ODE's are extended to nonlinear FDE's. This is achieved by using Lyapunov-like functionals and differential inequalities. The results are applied to study the stability anal...

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Bibliographic Details
Published in:Applied mathematics and computation 1987-12, Vol.24 (3), p.263-274
Main Authors: Deo, Sadashiv G., Torres, Euclides F.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
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Summary:The generalized variation of constants formula and variation of comparison theorems developed by Ladde for nonlinear ODE's are extended to nonlinear FDE's. This is achieved by using Lyapunov-like functionals and differential inequalities. The results are applied to study the stability analysis of FDE's.
ISSN:0096-3003
1873-5649
DOI:10.1016/0096-3003(87)90088-9