Results 11 to 20 of about 691,926 (188)

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

, 2016
We consider the limit $N\to +\infty$ of $N$-body type problems with weak interaction, equal masses and $-\sigma$-homogeneous potential ...
Castaneira, Reynaldo, Padilla, Pablo, Sánchez-Morgado, Héctor   +2 more
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Functional Differential Equations and Inequalities [PDF]

Proceedings 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

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

Abstract 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

On the origin of quantum mechanics [PDF]

, 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, Born, Chicone, Chicone, Chicone, Chicone, Dirac, Einstein, El Naschie, El Naschie, El Naschie, Ford, Giné, Heisenberg, Hess, Hess, Jaume Giné, Landau, Michelson, Michelson, Nottale, Ord, Planck, Poincaré, Poincaré, Poincaré, Poincaré, Raju, Raju, Rutherford, Schrödinger, Schrödinger, Schrödinger, Sommerfeld, Sommerfeld, Svozil, van der Meer, ’t Hooft, ’t Hooft   +38 more
core   +1 more source

Functional differential equations close to differential equations [PDF]

Bulletin 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

Stochastic Functional Differential Equation under Regime Switching

Discrete 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]

Учёные 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, A.M. Sidorov, I.E. Filippov   +2 more
doaj  

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

Mathematica 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]

, 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, Assis, Assis, Bunchaft, Chicone, Chicone, Chicone, Chicone, Corinaldesi, Einstein, Einstein, El Naschie, El Naschie, El Naschie, El Naschie, El Naschie, Giné, Giné, Giné, Jaki, Jaume Giné, Newton, Nottale, Ord, Ragusa, Raju, Raju, Svozil, Tisserand, Tisserand, Weinberg   +30 more
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On some properties of a system of nonlinear partial functional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown function) with initial and boundary conditions and a quasilinear elliptic functional differential ...
László Simon
doaj   +1 more source