Results 21 to 30 of about 326,138 (281)
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study the asymptotic integration problem in the neighborhood of infinity for a certain class of linear functional differential systems. We propose a method for construction of the asymptotics of solutions in the critical case.
Pavel Nesterov
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Asymptotic Integration of a Certain Second-Order Linear Delay Differential Equation
Моделирование и анализ информационных систем, 2016 We construct some asymptotic formulas for solutions of a certain linear second-order delay differential equation when the independent variable tends to infinity. Two features concerning the considered equation should be emphasized. First, the coefficient
P. N. Nesterov
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Laplacian eigenvalues functionals and metric deformations on compact manifolds [PDF]
, 2007 In this paper, we investigate critical points of the Laplacian's eigenvalues considered as functionals on the space of Riemmannian metrics or a conformal class of metrics on a compact manifold.
Agricola +33 more
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Asymptotic Integration of Certain Differential Equations in Banach Space
Моделирование и анализ информационных систем, 2017 We investigate the problem of constructing the asymptotics for weak solutions of certain class of linear differential equations in the Banach space as the independent variable tends to infinity.
Pavel N. Nesterov
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The Topology of Probability Distributions on Manifolds [PDF]
, 2014 Let $P$ be a set of $n$ random points in $R^d$, generated from a probability measure on a $m$-dimensional manifold $M \subset R^d$. In this paper we study the homology of $U(P,r)$ -- the union of $d$-dimensional balls of radius $r$ around $P$, as $n \to \
Bobrowski, Omer, Mukherjee, Sayan
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Exploring the Differential Geometry of Reliability Function: Insights from Lifetime Weibull Distributions Under Neutrosophic Environment [PDF]
Neutrosophic Sets and SystemsThis paper characterizes a set N as a two-dimensional surface marked by 𝑅 + × 𝑅 + and demonstrates its properties as a topological 2-reliability manifold and a differential reliability manifold.
Nada Mohammed Abbas +2 more
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Holography for Non-Critical Superstrings [PDF]
, 1999 We argue that a class of ``non-critical superstring'' vacua is holographically related to the (non-gravitational) theory obtained by studying string theory on a singular Calabi-Yau manifold in the decoupling limit $g_s\to 0$.
Giveon, A., Kutasov, D., Pelc, O.
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Bose-Einstein condensation of scalar fields on hyperbolic manifolds [PDF]
, 1992 The problem of Bose-Einstein condensation for a relativistic ideal gas on a 3+1 dimensional manifold with a hyperbolic spatial part is analyzed in some detail.
Cognola, Guido, Vanzo, Luciano
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Singularly perturbed semilinear Neumann problem with non-normally hyperbolic critical manifold
Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this paper, we investigate the problem of existence and asymptotic behavior of the solutions for the nonlinear boundary value problem \begin{eqnarray*} \epsilon y''+ky=f(t,y),\quad t\in\langle a,b \rangle, \quad k>0,\quad ...
Robert Vrabel
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Properties of the Lindemann mechanism in phase space
Electronic Journal of Qualitative Theory of Differential Equations, 2011 We study the planar and scalar reductions of the nonlinear Lindemann mechanism of unimolecular decay. First, we establish that the origin, a degenerate critical point, is globally asymptotically stable. Second, we prove there is a unique scalar solution (
M. S. Calder, D. Siegel
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