A function space approach to the foundations of system theory

1983 ◽  
Vol 14 (7) ◽  
pp. 721-729 ◽  
Author(s):  
P. d'ALESSANDRO ◽  
G. RINALDI ◽  
A. SASSANO
Keyword(s):  
System Theory ◽  
Function Space ◽  
Space Approach

A Function Space Approach to Spectral Related Problems

2019 ◽  
Vol 10 (6) ◽  
pp. 1220-1222
Author(s):  
T. Venkatesh ◽  
Karuna Samaje
Keyword(s):  
Function Space ◽  
Space Approach

Using Melnikov's method to solve Silnikov's problems

1990 ◽  
Vol 116 (3-4) ◽  
pp. 295-325 ◽  
Author(s):  
Xiao-Biao Lin
Keyword(s):  
Differential Equation ◽  
Function Space ◽  
Delay Differential Equation ◽  
Homoclinic Solutions ◽  
Singularly Perturbed ◽  
Melnikov's Method ◽  
Melnikov’S Method ◽  
Delay Differential ◽  
Limiting Case ◽  
Space Approach

SynopsisA function space approach is employed to obtain bifurcation functions for which the zeros correspond to the occurrence of periodic or aperiodic solutions near heteroclinic or homoclinic cycles. The bifurcation function for the existence of homoclinic solutions is the limiting case where the period is infinite. Examples include generalisations of Silnikov's main theorems and a retreatment of a singularly perturbed delay differential equation.

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