Results 11 to 20 of about 683,225 (336)

QED in external fields, a functional point of view [PDF]

open access: yes, 2001
A functional partial differential equation is set for the proper graphs generating functional of QED in external electromagnetic fields. This equation leads to the evolution of the proper graphs with the external field amplitude and the external field ...
C. J. Burden   +16 more
core   +2 more sources

Bernstein collocation method for neutral type functional differential equation

open access: yesMathematical Biosciences and Engineering, 2021
Functional differential equations of neutral type are a class of differential equations in which the derivative of the unknown functions depends on the history of the function and its derivative as well. Due to this nature the explicit solutions of these
Ishtiaq Ali
doaj   +1 more source

Continuous Choreographies as Limiting Solutions of $N$-body Type Problems with Weak Interaction [PDF]

open access: yes, 2016
We consider the limit $N\to +\infty$ of $N$-body type problems with weak interaction, equal masses and $-\sigma$-homogeneous potential ...
Castaneira, Reynaldo   +2 more
core   +1 more source

Existence, Uniqueness and Stability Theorems for Certain Functional Fractional Initial Value Problem [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2011
In this paper, we deal with non-linear  functional fractional differential  equation  with initial condition in  space. We will study the existence, uniqueness and stability of the solution of  fractional differential equation.
Joseph Abulahad, Shayma Murad
doaj   +1 more source

Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations

open access: yesAbstract and Applied Analysis, 2000
We study evolution semigroups associated with nonautonomous functional differential equations. In fact, we convert a given functional differential equation to an abstract autonomous evolution equation and then derive a representation theorem for the ...
Bernd Aulbach, Nguyen Van Minh
doaj   +1 more source

Asymptotic Comparison of the Solutions of Linear Time-Delay Systems with Point and Distributed Lags with Those of Their Limiting Equations

open access: yesAbstract and Applied Analysis, 2009
This paper investigates the relations between the particular eigensolutions of a limiting functional differential equation of any order, which is the nominal (unperturbed) linear autonomous differential equations, and the associate ones of the ...
M. De la Sen
doaj   +1 more source

Weyl almost anti-periodic solution to a neutral functional semilinear differential equation

open access: yesElectronic Research Archive, 2023
In this work, we first propose a concept of Weyl almost anti-periodic functions. Then, we make use of the contraction mapping principle and analysis techniques to research the existence of a unique Weyl almost anti-periodic solution to a neutral ...
Weiwei Qi , Yongkun Li
doaj   +1 more source

Functional Differential Equations and Inequalities [PDF]

open access: yesProceedings of the National Academy of Sciences, 1936
Let us first try to find the minimum value of the integral ∫02π[f’(x)+mf(x + π)+e(x)]^2dx where f(x) is a uniform function of period 2π which is integrable and such that ∫02π[f(x)]^2dx=1.
openaire   +5 more sources

Oscillation of certain functional differential equations [PDF]

open access: yesComputers & Mathematics with Applications, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, R.P., Grace, S.R.
openaire   +4 more sources

On Some Functional-Differential Equation [PDF]

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2016
The necessary and sufficient conditions for the existence and uniqueness of a solution of the problem for the functional-differential equation are established.
N.P. Evlampiev   +2 more
doaj  

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