Limits of solutions of a perturbed linear differential equation

C. Avramescu, University of Craiova, Craiova, Romania
C. Vladimirescu, University of Craiova, Craiova, Romania

E. J. Qualitative Theory of Diff. Equ., No. 3. (2002), pp. 1-11.

Abstract: Using interesting techniques, an existence result for the problem $\ddot{x}+2f\left( t\right) \dot{x}+x+g\left( t,x\right) =0,$ $\lim\limits_{t\rightarrow +\infty }x\left( t\right) =\lim\limits_{t\rightarrow +\infty }\dot{x}\left( t\right) =0,$ is given in [2]. This note treates the same problem via Schauder-Tychonoff and Banach theorems.

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