Results 11 to 20 of about 696,925 (286)

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   +3 more sources

On a Class of Functional Differential Equations with Symmetries [PDF]

open access: yesSymmetry, 2019
It is shown that a class of symmetric solutions of scalar non-linear functional differential equations can be investigated by using the theory of boundary value problems. We reduce the question to a two-point boundary value problem on a bounded interval and present several conditions ensuring the existence of a unique symmetric solution.
Nataliya Dilna   +2 more
openaire   +3 more sources

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

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

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

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

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  

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

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   +3 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

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