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Book synopsis

V dannoj monografii vpervye daetsya issledovanie nelinejnogo uravneniya Rikkati; reshaetsya linejnoe uravnenie vtorogo poryadka s peremennymi kojefficientami. Vpervye reshaetsya slozhnoe nelinejnoe uravnenie vtorogo poryadka; vpervye reshaetsya linejnoe uravnenie tret'ego poryadka s peremennymi kojefficientami metodom posledovatel'nogo ponizheniya poryadka proizvodnoj. Vpervye postroeno uslovie, garantirujushhee reshenie uravneniya Rikkati v kvadraturah; dokazyvaetsya vypolnimost' usloviya; dokazyvaetsya, chto reshenie uravneniya Rikkati daetsya cherez reshenie takogo zhe klassa nelinejnogo uravneniya v jexponencial'noj forme. V monografii privedeny dva varianta resheniya uravneniya Rikkati. Vtoroj variant vyglyadit proshhe i jeffektivnee. V kachestve primera v§8 i§9 issledovany special'noe uravnenie Rikkati i odin iz chastnyh vidov obshhego uravneniya Rikkati. Vazhnost'§13 zakljuchaetsya v akkumulirovanii svojstv resheniya uravneniya Rikkati, o kotoryh do sih por nichego ne bylo izvestno. V§14 rassmatrivaemyj metod perenesen na uravnenie s postoyannymi kojefficientami, oni reshajutsya v obhod variacii postoyannyh Lagranzha.

Book details

• Full title: Obyknovennye differencial'nye uravneniya s peremennymi kojefficientami
• Author: Timofej Chochiev
• Language: Russian
• Binding: Paperback
• Number of pages: 164
• EAN: 9783659835643
• ID: 02976833
• Publisher: LAP Lambert Academic Publishing
• Weight: 262 g
• Dimensions: 220 × 150 × 10 mm
• Date of publishing: 30. March 2016

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