Titlebook: Developments and Novel Approaches in Nonlinear Solid Body Mechanics; Bilen Emek Abali,Ivan Giorgio Book 2020 Springer Nature Switzerland A

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https://doi.org/10.1007/978-3-030-96806-9In the paper we study the Poincare problem for second-order linear differential equations and also classification of asymptotic expansions of solutions in vicinities of irregular singular points for linear differential equations with holomorphic coefficients

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Chandelier

Asymptotic Construction of Solutions of Ordinary Differential Equations with Holomorphic CoefficientThe aim of this article is constructing asymptotics of solution of ordinary differential equations with holomorphic coefficients in neighborhood of infinity. Since infinity in general is irregular singular point then problem of representing asymptotics of solution of an equation is a special case of Poincare problem.

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Aphorism

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Integrable Dissipative Dynamical Systems with Three and Four Degrees of FreedomIn this work, the integrability of some classes of dynamic systems on tangent bundles of three-dimensional manifolds is demonstrated. The corresponding force fields possess the so-called variable dissipation and generalize those considered earlier.

Forsake

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On the Behavior of Solutions of Quasilinear Elliptic Inequalities Near a Boundary Point operator and, moreover, . are some functions with.for almost all . and .. for all For solutions of this inequality we obtain estimates depending on the geometry of Ω. In particular, these estimates imply regularity conditions of a boundary point.

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