Functional differential equations and Jensen's inequality
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.
scientific article; zbMATH DE number 4095962