On Nontrivial Solutions to Some Nonlinear Ordinary Differential Equations

On Nontrivial Solutions to Some Nonlinear Ordinary Differential Equations

In this paper an initial value problem for a nonlinear ordinary differential equation of second order is considered. Some nonlinear operator methods are used to prove the existence and uniqueness of nontrivial solutions. Moreover, an approximation of the nontrivial solution is given.

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Veröffentlicht in:Journal of mathematical analysis and applications 1995-03, Vol.190 (2), p.578-583
1. Verfasser: Okrasinski, W.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical analysis
Mathematics
Ordinary differential equations
Sciences and techniques of general use
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Beschreibung
Zusammenfassung:In this paper an initial value problem for a nonlinear ordinary differential equation of second order is considered. Some nonlinear operator methods are used to prove the existence and uniqueness of nontrivial solutions. Moreover, an approximation of the nontrivial solution is given.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1995.1092