L p -Perturbation of Linear Functional Differential Equations
Copyright policy )L p -Perturbation of Linear Functional Differential Equations
Here, it is shown that a certain class of retarded linear differential equations with solutions of exponential form is stable under \(L^{p}\)-perturbations. An example illustrating this result is given. As a particular case, the asymptotic integration of a class of delay equations of the form \({x'(t)=\sum_{k=0}^{k}}(a_{k}+q_{k}(t))x(t-k\tau)\) is obtained.
- University College London United Kingdom
- London Guildhall University United Kingdom
Asymptotic theory of functional-differential equations, Stability theory of functional-differential equations, Linear functional-differential equations, Singular perturbations of functional-differential equations, \(L^p\)-perturbations, retarded linear differential equations, solutions
Asymptotic theory of functional-differential equations, Stability theory of functional-differential equations, Linear functional-differential equations, Singular perturbations of functional-differential equations, \(L^p\)-perturbations, retarded linear differential equations, solutions
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