The paper deals with the existence of bounded solutions of the nonlinear diferential equation u''=f(t,u,u') satisfying suitable conditions at infinity. New existence results are obtained, which generalize and unify previous quoted investigations. The main technique for proving all the results derives from the comparison-type theory introduced by Kiguradze and Shekhter.
On transitional solutions of second order nonlinear differential equations / Malaguti, Luisa; C., Marcelli; N., Partsvania. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 303:1(2005), pp. 258-273. [10.1016/j.jmaa.2004.08.032]
On transitional solutions of second order nonlinear differential equations
MALAGUTI, Luisa;
2005
Abstract
The paper deals with the existence of bounded solutions of the nonlinear diferential equation u''=f(t,u,u') satisfying suitable conditions at infinity. New existence results are obtained, which generalize and unify previous quoted investigations. The main technique for proving all the results derives from the comparison-type theory introduced by Kiguradze and Shekhter.
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