Results 11 to 20 of about 699,523 (337)
Continuous Choreographies as Limiting Solutions of $N$-body Type Problems with Weak Interaction [PDF]
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]
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]
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
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]
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]
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
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]
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]
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]
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

