Results 11 to 20 of about 699,523 (337)

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

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

On the origin of quantum mechanics [PDF]

open access: yes, 2005
Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations, where the ...
Bohr   +38 more
core   +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 close to differential equations [PDF]

open access: yesBulletin of the American Mathematical Society, 1966
when the lag function r(t) is nearly constant for large /, and has also asked for conditions on the function r under which all solutions approach zero as t—» oo. The purpose of this announcement is to initiate a study of various stability and oscillation problems for equations with perturbed lag functions, and to suggest that a modification of the ...
openaire   +2 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  

Stochastic Functional Differential Equation under Regime Switching

open access: yesDiscrete Dynamics in Nature and Society, 2012
We discuss stochastic functional differential equation under regime switching dx(t)=f(xt,r(t),t)dt+q(r(t))x(t)dW1(t)+σ(r(t))|x(t)|βx(t)dW2(t). We obtain unique global solution of this system without the linear growth condition; furthermore, we prove its ...
Ling Bai, Zhang Kai
doaj   +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

Perturbed functional fractional differential equation of Caputo-Hadamard order [PDF]

open access: yesMathematica Moravica
In this paper, we investigate the existence of solution and extremal solutions for an initial-value problem of perturbed functional fractional differential equations with Caputo-Hadamard derivative.
Hamani Samira
doaj   +1 more source

On the origin of the deflection of light [PDF]

open access: yes, 2005
Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations, where the ...
Assis   +30 more
core   +4 more sources

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