Boundedness criteria for solutions of certain second order nonlinear differential equations
type: Item
instance of: scholarly article
title: Boundedness criteria for solutions of certain second order nonlinear differential equations
zbMATH Open document ID: 0642.34031
DOI: 10.1016/0022-247X(87)90324-6
author: Zhivko S. Athanassov
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: Sufficient conditions are given for the boundedness of all solutions x(t) and their derivatives in [0,\(\infty)\) of the following nonlinear equations \[ [a(t)x']+b(t)f(x,x')+c(t)g(x)h(x')=p(t,x,x'); \] \[ a(t)x''+b(t)f(x,x')+c(t)g(x)h(x')=p(t,x,x'), \] where a,b,c,f,g,h,p are suitable real-valued functions. The approach is by the ``method of integral inequalities''.
reviewed by: Charles A. Swanson
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4046177
zbMATH Keywords: method of integral inequalities
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4046177