Results 31 to 40 of about 282,301 (316)

Asymptotic behavior of waves

open access: yesJournal of Functional Analysis, 1981
AbstractThe asymptotic conjugation relation limt→±∞ ‖g(χt)M(eitp)ƒ − M(g(∇ρ))M(eitp)ƒ‖2 = 0 is established for all ƒ∈L2(Rn) under mild assumptions on ϱ and g, where M(h)ƒ = F−1(hf̌) denotes Fourier multiplication. The asymptotic estimate limt→±∞ χj|χ|∂u∂t±∂u∂χj2 = 0 for finite energy solutions u of the wave equation is deduced from (∗), along with ...
openaire   +2 more sources

The Asymptotic Behavior of Diameters in the Average

open access: yesJournal of Combinatorial Theory, Series B, 1994
AbstractIn 1975 R. Ahlswede and G. Katona posed the following average distance problem (Discrete Math.17 (1977), 10): For every cardinality a ∈ {1, ..., 2n} determine subsets A of {0, 1}n with # A = a, which have minimal average inner Hamming distance. Recently I. Althöfer and T. Sillke (J. Combin. Theory Ser.
Ahlswede, Rudolf, Althöfer, Ingo
openaire   +2 more sources

Global Well-Posedness and Determining Nodes of Non-Autonomous Navier–Stokes Equations with Infinite Delay on Bounded Domains

open access: yesMathematics
The asymptotic behavior of solutions to nonlinear partial differential equations is an important tool for studying their long-term behavior. However, when studying the asymptotic behavior of solutions to nonlinear partial differential equations with ...
Huanzhi Ge, Feng Du
doaj   +1 more source

A Theorem of Galambos-Bojanić-Seneta Type

open access: yesAbstract and Applied Analysis, 2009
In the theorems of Galambos-Bojanić-Seneta's type, the asymptotic behavior of the functions 𝑐[𝑥],𝑥≥1, for 𝑥→+∞, is investigated by the asymptotic behavior of the given sequence of positive numbers (𝑐𝑛), as 𝑛→+∞ and vice versa.
Dragan Djurčić, Aleksandar Torgašev
doaj   +1 more source

Asymptotics for a special solution to the second member of the Painleve I hierarchy [PDF]

open access: yes, 2010
We study the asymptotic behavior of a special smooth solution y(x,t) to the second member of the Painleve I hierarchy. This solution arises in random matrix theory and in the study of Hamiltonian perturbations of hyperbolic equations. The asymptotic behavior of y(x,t) if x\to \pm\infty (for fixed t) is known and relatively simple, but it turns out to ...
arxiv   +1 more source

Asymptotic behavior of N-fields Chiral cosmology

open access: yesEuropean Physical Journal C: Particles and Fields, 2020
We perform a detailed analysis for the asymptotic behaviour for the multi-scalar field Chiral cosmological scenario. We present the asymptotic behaviour for the one-field, two-fields and three-fields Chiral models.
Andronikos Paliathanasis, Genly Leon
doaj   +1 more source

Existence, Uniqueness and Asymptotic Behavior of Solutions for Semilinear Elliptic Equations

open access: yesMathematics
A class of semilinear elliptic differential equations was investigated in this study. By constructing the inverse function, using the method of upper and lower solutions and the principle of comparison, the existence of the maximum positive solution and ...
Lin-Lin Wang   +2 more
doaj   +1 more source

Asymptotic Behavior of Certain Integrodifferential Equations

open access: yesDiscrete Dynamics in Nature and Society, 2016
This paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form: atx′t′=e(t)+∫ct‍(t-s)α-1k(t,s)f(s,x(s))ds,  c>1 ...
Said Grace, Elvan Akin
doaj   +1 more source

On the asymptotic behavior of some Algorithms [PDF]

open access: yesRandom Structures and Algorithms 27 (2005) 235--250, 2005
A simple approach is presented to study the asymptotic behavior of some algorithms with an underlying tree structure. It is shown that some asymptotic oscillating behaviors can be precisely analyzed without resorting to complex analysis techniques as it is usually done in this context.
arxiv   +1 more source

Asymptotic Behavior of Automatic Quadrature

open access: yesJournal of Complexity, 1994
The computational cost of automatic quadrature programs is analyzed under the hypothesis of exactness (or asymptotic consistence) of local error estimates. The complexity measure used, in this work, is the number N of function evaluations in real exact arithmetic seen as a function of :he number E of exact decimal digits in the result.
ROMANI, FRANCESCO   +3 more
openaire   +3 more sources

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