A new kind of integral transform and its application to periodic solutions
type: Item
instance of: scholarly article
title: A new kind of integral transform and its application to periodic solutions
zbMATH Open document ID: 0649.44002
DOI: 10.1016/0022-247X(88)90065-0
author: Baoping Liu
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: The author makes an interesting study on a new integral transform and proves several theorems concerning the properties of the transform. He also proves some general existence theorems for periodic solutions of the semilinear wave equation with the forcing term having double frequency. The present method is then applied to solve almost periodic solution for nonlinear wave equation, and to semilinear autonomous wave equation. This long article contains many new and interesting results which seem to have useful applications.
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35A22
zbMATH DE Number: 4060056
zbMATH Keywords: existence
zbMATH Keywords: periodic solutions
zbMATH Keywords: semilinear wave equation
zbMATH Keywords: almost periodic solution
zbMATH Keywords: nonlinear wave equation
reviewed by: Lokenath Debnath
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4060056