Results 31 to 40 of about 23,214 (312)

Justification of Direct Scheme for Asymptotic Solving Three-Tempo Linear-Quadratic Control Problems under Weak Nonlinear Perturbations

open access: yesAxioms, 2022
The paper deals with an application of the direct scheme method, consisting of immediately substituting a postulated asymptotic solution into a problem condition and determining a series of control problems for finding asymptotics terms, for asymptotics ...
Galina Kurina, Margarita Kalashnikova
doaj   +1 more source

Uniform Approximation to the Solution of a Singularly Perturbed Boundary Value Problem with an Initial Jump

open access: yesMathematics, 2020
In this study, a third-order linear integro-differential equation with a small parameter at two higher derivatives was considered. An asymptotic expansion of the solution to the boundary value problem for the considered equation is constructed by ...
Assiya Zhumanazarova, Young Im Cho
doaj   +1 more source

Exponential asymptotics and gravity waves

open access: yes, 2006
The problem of irrotational inviscid incompressible free-surface flow is examined in the limit of small Froude number. Since this is a singular perturbation, singularities in the flow field (or its analytic continuation) such as stagnation points, or ...
Vanden-Broeck, J-.M.   +8 more
core   +1 more source

Asymptotics of superstatistics [PDF]

open access: yesPhysical Review E, 2005
Published version, few typos corrected, 7 pages, 1 figure ...
Touchette, Hugo, Beck, Christian
openaire   +3 more sources

Second order phase field asymptotics for multi-component systems [PDF]

open access: yes, 2006
An asymptotic analysis of a phase field model for solidification in multicomponent alloy systems is presented. In the limit of vanishing interface thickness the related sharp interface model is approximated to second order by taking a non-constant ...
Stinner, Björn, Garcke, Harald
core   +1 more source

Projector Approach to Constructing Asymptotic Solution of Initial Value Problems for Singularly Perturbed Systems in Critical Case

open access: yesAxioms, 2019
Under some conditions, an asymptotic solution containing boundary functions was constructed in a paper by Vasil’eva and Butuzov (Differ. Uravn. 1970, 6(4), 650−664 (in Russian); English transl.: Differential Equations 1971, 6, 499−510 ...
Galina Kurina
doaj   +1 more source

Weyl asymptotics for perturbations of Morse potential and connections to the Riemann zeta function

open access: yesConcrete Operators, 2023
Let N(T;V)N\left(T;\hspace{0.33em}V) denote the number of eigenvalues of the Schrödinger operator −y″+Vy-{y}^{^{\prime\prime} }+Vy with absolute value less than TT. This article studies the Weyl asymptotics of perturbations of the Schrödinger operator −y″
Rahm Rob
doaj   +1 more source

Asymptotic Idempotency

open access: yes2007 IEEE International Fuzzy Systems Conference, 2007
This paper deals with aggregation operators. A new class of aggregation operators, called asymptotically idempotent, is introduced. A generalization of the basic notion of aggregation operator is provided, with an in-depth discussion of the notion of idempotency.
openaire   +4 more sources

The Cauchy problem for singularly perturbed higher-order integro-differential equations

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2019
The article is devoted to research the Cauchy problem for singularly perturbed higher-order linear integro-differential equation with a small parameter at the highest derivatives, provided that the roots of additional characteristic equation have ...
A. E. Mirzakulova   +3 more
doaj   +1 more source

Spectral asymptotics for stable trees [PDF]

open access: yes, 2010
We calculate the mean and almost-sure leading order behaviour of the high frequency asymptotics of the eigenvalue counting function associated with the natural Dirichlet form on alpha-stable trees, which lead in turn to short-time heat kernel asymptotics
Croydon, David A., Hambly, Ben M.
core  

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