Oscillation and asymptotic behavior of second order difference equations with nonlinear neutral terms.
Thandapani, Ethiraju, Liu, Zhaoshuang, Arul, Ramalingam, Raja, Palanisamy S. (2004)
Applied Mathematics E-Notes [electronic only]
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Thandapani, Ethiraju, Liu, Zhaoshuang, Arul, Ramalingam, Raja, Palanisamy S. (2004)
Applied Mathematics E-Notes [electronic only]
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N. Parhi, Arun Kumar Tripathy (2003)
Czechoslovak Mathematical Journal
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Necessary and sufficient conditions are obtained for every solution of to oscillate or tend to zero as , where , and are sequences of real numbers such that . Different ranges for are considered.
Ethiraju Thandapani, L. Ramuppillai (1998)
Archivum Mathematicum
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This paper deals with oscillatory and asymptotic behaviour of solutions of second order quasilinear difference equation of the form where . Some sufficient conditions for all solutions of (E) to be oscillatory are obtained. Asymptotic behaviour of nonoscillatory solutions of (E) are also considered.
Tadeusz Jankowski (2003)
Archivum Mathematicum
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The method of quasilinearization is a well–known technique for obtaining approximate solutions of nonlinear differential equations. This method has recently been generalized and extended using less restrictive assumptions so as to apply to a larger class of differential equations. In this paper, we use this technique to nonlinear differential problems.
Migda, Małgorzata, Musielak, Anna, Schmeidel, Ewa (2004)
Advances in Difference Equations [electronic only]
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