Asymptotically linear solutions of differential equations via Lyapunov functions |
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| Authors: | Octavian G. Mustafa,Cemil Tunç |
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| Affiliation: | a Faculty of Mathematics and Computer Science, DAL, University of Craiova, Romania
b Department of Mathematics, Faculty of Arts and Sciences, Yüzüncü Yil University, 65080 Van, Turkey |
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| Abstract: | We discuss the existence of solutions with oblique asymptotes to a class of second order nonlinear ordinary differential equations by means of Lyapunov functions. The approach is new in this field and allows for simpler proofs of general results regarding Emden-Fowler like equations. |
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| Keywords: | Nonlinear differential equation Asymptotically linear solution Lyapunov function |
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