A note on the Burger’s method Volume 1 - Issue 3

Doo-Sung Lee*

• Department of Mathematics College of Education, Konkuk University, Seoul, Korea

Received: November 30,2020   Published: February 10, 2021

Corresponding author: Doo-Sung Lee, Department of Mathematics College of Education, Konkuk University Seoul, Korea

DOI: 10.32474/JOMME.2021.01.000116

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Abstract

The existence and uniqueness of the solutions to an infinite system of nonlinear equations arising in thedynamic analysis of large deflection of a plate are discussed. Under the assumption that the rim of the plate is prevented from inplane motions, explicit equation for the coupling parameter is given.

Keywords: Existence, uniqueness, Berger’s method.1991 Mathematics Subject Classification. 46(Functional analysis),73(Mechanics of solids)

Abstract| Introduction| Existence| Case Uniqueness| References|