ASYMPTOTIC REPRESENTATIONS OF A CLASS OF REGULARLY VARYING SOLUTIONS OF DIFFERENTIAL EQUATIONS OF THE SECOND ORDER WITH RAPIDLY AND REGULARLY VARYING NONLINEARITIES

O. O. Chepok

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ASYMPTOTIC REPRESENTATIONS OF A CLASS OF REGULARLY VARYING SOLUTIONS OF DIFFERENTIAL EQUATIONS OF THE SECOND ORDER WITH RAPIDLY AND REGULARLY VARYING NONLINEARITIES

机译：一类二阶微分方程带非线性和快速变化方程的渐近解的渐近表示

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摘要

Theasymptoticrepresentationsofsolutionsofaclassofdifferentialequationsofthesecond order with rapidly and regularly varying nonlinearities are established.

机译：建立具有快速且规则变化的非线性项的二阶微分方程类的解的渐近表示。

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《Memoirs on Differential Equations and Mathematical Physics》 |2018年第2期|共14页
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O. O. Chepok;
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中图分类数学;
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Asymptotic representations of solutionsrapidly varying functionsregularly varying functionsPω(Y0Y1λ0)-solutions of the equationregularly varying solutions;

机译：迅速变化函数定期变化函数的渐近表示Pω（Y0Y1λ0）-方程的不断变化溶液的解;

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专利

1. ASYMPTOTIC REPRESENTATIONS OF RAPIDLY VARYING SOLUTIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS WITH RAPIDLY AND REGULARLY VARYING NONLINEARITIES [J] . O. O. Chepok Journal of Mathematical Sciences . 2021,第1期

机译：快速和定期不同非线性的二阶微分方程迅速变化溶液的渐近表示
2. ASYMPTOTICS OF RAPIDLY VARYING SOLUTIONS OF DIFFERENTIAL EQUATIONS ASYMPTOTICALLY CLOSE TO EQUATIONS WITH REGULARLY VARYING NONLINEARITIES [J] . V. M. Evtukhov, A. V. Drozhzhina Journal of Mathematical Sciences . 2021,第2期

机译：渐近方程迅速改变差异靠近方程式循环方程迅速变化的差异性，具有规则不同的非线性
3. Asymptotic representations of solutions of essentially nonlinear systems of ordinary differential equations with regularly and rapidly varying nonlinearities [J] . Evtukhov V.M., Shlepakov O.R. Ukrainian mathematical journal . 2013,第9期

机译：具有非线性且迅速变化的常微分方程基本非线性系统解的渐近表示。
4. Regularly Varying Decreasing Solutions of Half-Linear Dynamic Equations [C] . Pavel ?ehák, Ji?í Vítovec International Conference on Difference Equations and Applications . 2010

机译：半线性动态方程的定期变化降低
5. Regularly Varying Random Fields and Analyses of Extremal Clusters [D] . Wu, Lifan. 2020

机译：定期不同的随机字段和极值集群分析
6. Asymptotic dichotomy in a class of higher order nonlinear delay differential equations [O] . Yunhua Ye, Haihua Liang -1

机译：一类高阶非线性时滞微分方程的渐近二分法
7. Asymptotics of slowly varying solutions of second-order differential equations with regularly and rapidly varying nonlinearities. [O] . Н. П. Колун 2018

机译：具有定期快速变化的非线性的二阶微分方程缓慢变化解的渐变学。
8. Upper and Lower Classes for Stationary Gaussian Random Fields on Abelian Groupswith a Regularly Varying Entropy [R] . Albin, J. M. 1990

机译：具有规则变化熵的阿贝尔群上平稳高斯随机场的上下类

ASYMPTOTIC REPRESENTATIONS OF A CLASS OF REGULARLY VARYING SOLUTIONS OF DIFFERENTIAL EQUATIONS OF THE SECOND ORDER WITH RAPIDLY AND REGULARLY VARYING NONLINEARITIES

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