Sui Sun Cheng ON TWO SECOND ORDER HALF - LINEAR DIFFERENCE EQUATIONS

Oscillation of Second Order Half-linear Differential Equations with Damping

This paper is concerned with a class of second order half-linear damped differential equations. Using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which are either extensions of or complementary to a number of the existing results. 2000 Mathematics Subject Classification: 34A30, 34C10.

Oscillation Theorems for Certain Even Order Neutral Differential Equations

This paper is concerned with a class of even order nonlinear differential equations of the form d dt “ ̨

Research Article Solution Estimates for Semilinear Difference-Delay Equations with Continuous Time

Classi cation schemes for positive solutions of a second - order nonlinear di erence equation

Classi cation schemes for eventually positive solutions of a class of second-order nonlinear di erence equations are given in terms of their asymptotic magnitudes, and necessary as well as su cient conditions for the existence of these solutions are also provided. c © 1999 Elsevier Science B.V. All rights reserved. AMS classi cation: 39A10

Eventually Periodic Solutions for Difference Equations with Periodic Coefficients and Nonlinear Control Functions

For nonlinear difference equations of the form xn F n, xn−1, . . . , xn−m , it is usually difficult to find periodic solutions. In this paper, we consider a class of difference equations of the form xn anxn−1 bnf xn−k , where {an}, {bn} are periodic sequences and f is a nonlinear filtering function, and show how periodic solutions can be constructed. Several examples are also included to illust...