A remark on the oscillation of ordinary second order nonlinear differential equations
J. Detki (1981)
Matematički Vesnik
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Displaying similar documents to “Asymptotic representations of oscillatory solutions of a nonlinear equation.”
A remark on the oscillation of ordinary second order nonlinear differential equations
Oscillation conditions for first-order nonlinear advanced differential equations
Özkan Öcalan, Nurten Kiliç (2023)
Commentationes Mathematicae Universitatis Carolinae
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Our purpose is to analyze a first order nonlinear differential equation with advanced arguments. Then, some sufficient conditions for the oscillatory solutions of this equation are presented. Our results essentially improve two conditions in the paper “Oscillation tests for nonlinear differential equations with several nonmonotone advanced arguments” by N. Kilıç, Ö. Öcalan and U. M. Özkan. Also we give an example to illustrate our results.
An improved oscillation theorem for nonlinear differential equations of advanced type
Nurten Kiliç, Özkan Öcalan, Mustafa Kemal Yildiz (2024)
Archivum Mathematicum
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This paper deals with the oscillatory solutions of the first order nonlinear advanced differential equation. The aim of the present paper is to obtain an oscillation condition for this equation. This result is new and improves and correlates many of the well-known oscillation criteria that were in the literature. Finally, an example is given to illustrate the main result.
Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations
Wantong Li (1997)
Annales Polonici Mathematici
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A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.
Some remarks on a recent third order nonlinear oscillation result
G. G. Hamedani (1985)
Časopis pro pěstování matematiky
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Oscillation criteria for second order nonlinear retarded differential equations
Jozef Džurina (2004)
Mathematica Slovaca
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Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations
Ethiraju Thandapani, R. Arul (1999)
Czechoslovak Mathematical Journal
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The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear difference equation of the form where is even, is studied. Examples are included to illustrate the results.
Oscillations of nonlinear difference equations with deviating arguments
George E. Chatzarakis, Julio G. Dix (2018)
Mathematica Bohemica
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This paper is concerned with the oscillatory behavior of first-order nonlinear difference equations with variable deviating arguments. The corresponding difference equations of both retarded and advanced type are studied. Examples illustrating the results are also given.