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## Springer Proceedings in Mathematics and Statistics Vol. 47: Proc. Intern. Conf. on Differential and Difference Equations and Applications, In honour of Prof. Ravi P. Agarval. New York

Springer, 2013.

Under the general editorship: S. Pinelas, M. Chipot, Z. Dosla

Belkina T. A., Konyukhova N., Sergey Kurochkin, , in : Springer Proceedings in Mathematics and Statistics Vol. 47: Proc. Intern. Conf. on Differential and Difference Equations and Applications, In honour of Prof. Ravi P. Agarval. New York. : Springer, 2013. P. 27-44.

A second-order linear integro-differential equation with Volterra integral
operator and strong singularities at the endpoints (zero and infinity) is considered.
Under limit
conditions at the singular points, and some natural assumptions, the problem is a
singular initial
problem with limit normalizing conditions at infinity. An existence and uniqueness
theorem is
proved and asymptotic representations of the ...

Added: May 20, 2015

Priority areas:
mathematics

Language:
English

Providence : AMS, 2019

This is the second of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 733.
Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was ...

Added: December 15, 2017

Ilyashenko Y., М. : Издательство МГУ, 2012

Книга представляет собой первую часть курса лекций по обыкновенным дифференциальным уравнениям, прочитанных А.И.Буфетовым и Ю.С.Ильяшенко в 2009 - 2012 годах. В книге изложены общие понятия и элементарные методы интегрирования. ...

Added: February 5, 2014

Akhremenko A. S., Petrov A., Yureskul E., / Высшая школа экономики. Series WP BRP "Economics/EC". 2015. No. 109/EC/2015.

This paper deals with a model of economic growth, which we expand to include endogenous policy switching based on retrospective voting. It is shown that under certain conditions the solution has a special form that we call a cyclically balanced growth path. This type of solution is an analogue to balanced growth paths, which often ...

Added: November 18, 2015

Springer, 2020

This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019.
First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on applications. ...

Added: November 1, 2020

Nesterov Y., Protasov V., SIAM Journal on Matrix Analysis and Applications 2013 Vol. 34 No. 3 P. 999-1013

We suggest a new approach to finding the maximal and the minimal spectral radii of linear operators from a given compact family of operators, which share a common invariant cone (e.g., family of nonnegative matrices). In the case of families with the so-called product structure, this leads to efficient algorithms for optimizing the spectral radius ...

Added: February 23, 2016

Ростов н/Д : [б.и.], 2016

The theme of the conference is related to the different areas of mathematics, especially harmonic analysis, functional analysis, operator theory, function theory, differential equations and fractional analysis, developed intensively last decade. The relevance of this topic is related to the study of complex multiparameter objects that require, in particular, to attract operators with variable parameters ...

Added: February 22, 2017

Синцова К. А., Лялинов М. А., Wave Motion, 2018

In this work we construct and discuss special solutions of a homogeneous problem for the Laplace
equation in a domain with the cone-shaped boundaries. The problem at hand is interpreted as that
describing oscillatory linear wave movement of a uid under gravity in such a domain. These solutions are found in terms of the Mellin transform and ...

Added: November 27, 2019

Akhremenko A. S., Petrov A., Математическое моделирование 2018 Т. 30 № 4 С. 3-20

Balanced growth paths are typical research subjects for models of macroeconomic dynamics. Balanced growth paths are model solutions that assume constant policy parameters (such as tax rate) and allow for monotonous and proportional growth of model components. In this paper, we construct and test a model with policy switching based on economic retrospective voting: the ...

Added: December 31, 2017

Konyaev Y. A., Mikhailov D. V., Romanova E., Differential Equations 2013 Vol. 49 No. 6 P. 760-764

A nonautonomous version of the splitting method is presented and with its help an asymptotic solution of the nonautonomous gyroscopic system is constructed in the critical case. ...

Added: January 23, 2018

Mikheev A. V., СПб. : Отдел оперативной полиграфии НИУ ВШЭ – Санкт-Петербург, 2012

Данный сборник содержит задачи по курсу дифференциальных уравнений, читаемому автором на факультете экономики НИУ ВШЭ — Санкт-Петербург. В начале каждой темы дается краткое изложение основных теоретических фактов и разбираются примеры решений типовых задач. Для студентов и слушателей программ высшего профессионального образования. ...

Added: January 31, 2013

Springer, 2018

This book gathers papers from the International Conference on Differential & Difference Equations and Applications 2017 (ICDDEA 2017), held in Lisbon, Portugal on June 5-9, 2017. The editors have compiled the strongest research presented at the conference, providing readers with valuable insights into new trends in the field, as well as applications and high-level survey ...

Added: December 16, 2017

Lomonosov T., / Cornell University. Series arXiv "math". 2023. No. 2307.07182.

In this paper, an algebraic modification of the method of undetermined coefficients for solving nonhomogeneous linear stationary difference equations for quasipolynomial right-hand sides is proposed. Although the classical method of undetermined coefficients is well-known in both differential equations and difference equations case, its application in the difference equations case is severely limited. For example, it ...

Added: October 30, 2023

Warsz. : Polish Academy of Sciences, 2012

Painlevé equations, holomorphic vector fields and normal forms, summability of WKB solutions, Gevrey order and summability of formal solutions for ordinary and partial differ- ential equations,
• Stokes phenomena of formal solutions of non-linear PDEs, and the small divisors phenomenon,
• summability of solutions of difference equations,
• applications to integrable systems and mathematical physics. ...

Added: March 24, 2013

Ivanov A. I., Исаков И., Демин А. В. et al., М. : Слово, 2012

В пособии рассмотрены количественные методы исследования потребления кислорода человеком во время тестов с дозированной физической нагрузкой, выполненных в ГНЦ РФ-ИМБП РАН. Пособие предназначено для научных работников, физиологов и врачей, работающих в области авиакосмической, подводной и спортивной медицины. ...

Added: February 8, 2013

Mikheev A. V., Теория. Практика. Инновации 2017 № 9 (21)

In this paper we consider the calculation of a dynamical system described by a second-order differential equation in which a fundamental system of solutions consisting of functions of exponential type is replaced by bounded functions of the Verhulst model. The time dependence of the forces acting on the dynamical system is analyzed, and the obtained ...

Added: September 6, 2017

Булеков А. А., Journal of Physics: Conference Series 2021 Vol. 1740 Article 012069

The paper is devoted to the construction of spectral series and the estimation of the approximation accuracy for the operator of the Curie – Weiss model. In the course of work, the operator is reduced to a tridiagonal form in the subspace of the original space, then to a secondorder difference equation. The admissibility of ...

Added: June 9, 2021

Akhmedova V., Zabrodin A., Journal of Mathematical Physics 2016 Vol. 57 P. 093507-1-093507-9

We show that one-variable reductions of the Pfaff-Toda integrable hierarchy in the dispersionless limit are described by a system of coupled elliptic Löwner (Komatu-Goluzin) equations. ...

Added: October 21, 2016

Rybakin A. S., Anisimova N. P., СПб. : ВКАС им. Буденного, 2000

Added: February 10, 2013

Spiridonov V., Sarkissian G. A., / Cornell University. Series arXiv "math". 2021. No. arXiv:2105.15031.

General reduction of the elliptic hypergeometric equation to the level of complex hypergeometric functions is described. Derived equation is generalized to the Hamiltonian eigenvalue problem for new rational integrable N-body systems emerging from particular degenerations of the elliptic Ruijsenaars and van Diejen models. ...

Added: November 9, 2021

Mikhailov A. P., A.P.Petrov, Proncheva O. G. et al., Mathematical Models and Computer Simulations 2017 Vol. 9 No. 5 P. 580-586

A model of information warfare in a society when one of the parties periodically destabilizes the system by a short-term jump-wise increase in the intensity of the propaganda in the media is analyzed. The model has the form of two nonlinear ordinary differential equations with a periodic discontinuous right-hand side. The asymptotical solution to the ...

Added: October 12, 2017

191574970, Functional Analysis and Its Applications 2006 Vol. 40 No. 2 P. 81-90

It is well known that every module M over the algebra ℒ(X) of operators on a finite-dimensional space X can be represented as the tensor product of X by some vector space E, M ≅ = E ⊗ X. We generalize this assertion to the case of topological modules by proving that if X is a stereotype space with the stereotype approximation property, then for each stereotype module M over the ...

Added: September 23, 2016

Losev A. S., Slizovskiy S., JETP Letters 2010 Vol. 91 P. 620-624

Added: February 27, 2013

Ilyashenko Y., Яковенко С. Ю., М. : МЦНМО, 2013

Предлагаемая книга—первый том двухтомной монографии, посвящённой аналитической теории дифференциальных уравнений.
В первой части этого тома излагается формальная и аналитическая теория нормальных форм и теорема о разрешении особенностей для векторных полей на плоскости.
Вторая часть посвящена алгебраически разрешимым локальным задачам теории аналитических дифференциальных уравнений , квадратичным векторным полям и проблеме локальной классификации ростков векторных полей в комплексной области ...

Added: February 5, 2014

Kalyagin V.A., Koldanov A.P., Koldanov P.A. et al., Physica A: Statistical Mechanics and its Applications 2014 Vol. 413 No. 1 P. 59-70

A general approach to measure statistical uncertainty of different filtration techniques for market network analysis is proposed. Two measures of statistical uncertainty are introduced and discussed. One is based on conditional risk for multiple decision statistical procedures and another one is based on average fraction of errors. It is shown that for some important cases ...

Added: July 19, 2014