Asymptotic integration of a class of nonlinear differential equations

Abstract

This work is concerned with the behavior of solutions of a class of second-order nonlinear differential equations locally near infinity. Using methods of the fixed point theory, the existence of solutions with different asymptotic representations at infinity is established. A novel technique unifies different approaches to asymptotic integration and addresses a new type of asymptotic behavior. (c) 2005 Elsevier Ltd. All rights reserved.