Results 271 to 280 of about 72,923 (307)

Functional — Differential Equations

2003
In this chapter we consider one more class of problems the solution of which can be obtained by the parametric continuation method. This is the initial value problem (the Cauchy problem) for the functional differential equations. The equations with nonlocal retarded argument and integro differential equations can be included into this class of problems.
V. I. Shalashilin, E. B. Kuznetsov
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Functional Differential Equations

2018
The goal of this chapter is to apply the theories developed in the previous chapters to functional differential equations. In Section 7.1 retarded functional differential equations are rewritten as abstract Cauchy problems and the integrated semigroup theory is used to study the existence of integrated solutions and to establish a general Hopf ...
Pierre Magal, Shigui Ruan
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Functional Differential Equations

1968
Lyapunov’s second method gives sufficient conditions for stability and asymptotic stability. This method has been extended in several directions.7,8 One of the interesting extension of this method depends basically on the fact that a function satisfying the inequality $$m'(t)\leq w(t,m(t)) \;\;\;\;\;\;\; m(t_{0})=r_{0}$$ is majorized by the ...
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Functional Differential Equations

2019
Equations determining a functional and involving variational derivatives are called functional differential equations (abbreviated by fde, list in Chap. 1). Definitions and elementary properties of such equations are discussed to prepare the subsequent development on fdes. Two types of such equations are considered: elliptic and parabolic fdes.
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On Nested Functional Differential Equations

SIAM Journal on Applied Mathematics, 1970
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Basic results for functional differential and dynamic equations involving impulses

Mathematische Nachrichten, 2013
M Federson, Jaqueline G Mesquita, Antonin Slavik   +2 more
exaly  

Stability of coupled functional differential-difference equations

International Journal of Control, 2020
Pham Huu Anh Ngoc
exaly  

Generalized Halanay inequalities for dissipativity of Volterra functional differential equations

Journal of Mathematical Analysis and Applications, 2008
Liping Wen, Yuexin Yu, Wansheng Wang
exaly  

Monotone method for first-order functional differential equations

Computers and Mathematics With Applications, 2006
Juan J Nieto, Rosana Rodríguez-López
exaly  

A Functional Equation in Differential Geometry

The Annals of Mathematics, 1931
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