Functional differential equations and Jensen's inequality (Q1118749)
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scientific article; zbMATH DE number 4095962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functional differential equations and Jensen's inequality |
scientific article; zbMATH DE number 4095962 |
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Functional differential equations and Jensen's inequality (English)
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1989
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The authors study various types of stability of the functional differential equations \(x'(t)=F(t,x_ t)\) where \(x_ t(s)=x(t+s),\)- h\(\leq s\leq 0\), and h is a positive constant. The main tool is the Lyapunov functionals. These functionals satisfy certain conditions involving functions which verify Jensen's inequality. Many concrete illustrative examples are given to illustrate the theory.
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Lyapunov functionals
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examples
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