On a Numerical-Analytic Method of Solving of Boundary Value Problem for Functional Differential Equation of Neutral Type

1990 ◽  
Vol 145 (1) ◽  
pp. 255-269 ◽  
Author(s):  
A. Augustynowicz ◽  
M. Kwapisz
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Functional Differential Equation ◽  
Boundary Value ◽  
Neutral Type ◽  
Analytic Method ◽  
Functional Differential ◽  
Equation Of Neutral Type

On the spectral properties and positivity of solutionsof a periodic boundary value problemfor a second-order functional differential equation

2020 ◽  
pp. 123-130
Author(s):  
Manuel J. Alves ◽  
Sergey M. Labovskiy
Keyword(s):  
Differential Equation ◽  
Green Function ◽  
Differential Operator ◽  
Boundary Value Problem ◽  
Functional Differential Equation ◽  
Spectral Properties ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Functional Differential ◽  
The Green Function

For a functional-differential operator Lu = (1/ρ)(-(pu')' + ∫_0^l▒〖u(s)d_s r(x,s)〗) with symmetry, the completeness and orthogonality of the eigenfunctions is shown. Thepositivity conditions of the Green function of the periodic boundary value problem areobtained.

scholarly journals A theorem on the spectral radius of the sum of two operators and its application

1993 ◽  
Vol 48 (3) ◽  
pp. 427-434 ◽  
Author(s):  
M. Zima
Keyword(s):  
Differential Equation ◽  
Spectral Radius ◽  
Functional Differential Equation ◽  
Neutral Type ◽  
Linear Operators ◽  
Functional Differential ◽  
Equation Of Neutral Type

In the present paper a theorem on the spectral radius of the sum of linear operators is established. The application of this theorem to a functional differential equation of neutral type is also given.

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