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Slowly varying linear functional differential equations

IEEE Transactions on Automatic Control, 1972
Several authors have studied the stability behavior of slowly varying linear systems of ordinary differential equations. These studies have yielded a sufficient condition for uniform exponential stability. In this work this result is extended to slowly varying linear functional differential equations.
exaly   +3 more sources

On stability of solutions in linear autonomous functional-differential equations

2000
The functional-differential equation \[ {dx\over dt}= Ax(t)+ L(x_t)\tag{1} \] is considered. Problems of stability and asymptotic stability of the zero solution to (1) are studied.
Shin, Jong Son   +2 more
openaire   +2 more sources

Impulsive Semi-linear Functional Differential Equations

2015
In this chapter, we shall prove the existence of mild solutions of first order impulsive functional equations in a separable Banach space. Our approach will be based for the existence of mild solutions, on a fixed point theorem of Burton and Kirk [88] for the sum of a contraction map and a completely continuous map.
Saïd Abbas, Mouffak Benchohra
openaire   +1 more source

ON SOLVING LINEAR FUNCTIONAL-DIFFERENTIAL EQUATIONS

Tambov University Reports. Series: Natural and Technical Sciences, 2016
openaire   +1 more source

Functional differential equations of mixed type: The linear autonomous case

Journal of Dynamics and Differential Equations, 1989
Aldo Rustichini
exaly  

Oscillation of even-order half-linear functional differential equations with damping

Computers and Mathematics With Applications, 2011
Shouhua Liu, Quanxin Zhang
exaly  

On periodic solutions of first order linear functional differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2002
Robert Hakl, A Lomtatidze, B Puza
exaly  

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