Oscillation of -th order linear and nonlinear delay differential equations
Ján Ohriska (1982)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Disconjugate operators and related differential equations.”
Oscillation of -th order linear and nonlinear delay differential equations
Asymptotic and oscillatory behavior of solutions of differential equations with advanced arguments
Olusola Akinyele, Rajbir S. Dahiya (1990)
Archivum Mathematicum
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Properties of the Nonoscillatory Solution for a Third Order Nonlinear Differential Equation
Jozef Eliáš (1970)
Matematický časopis
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On solutions of third order nonlinear differential equations
Ivan Mojsej, Ján Ohriska (2006)
Open Mathematics
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The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with deviating argument. In particular, we prove a comparison theorem for properties A and B as well as a comparison result on property A between nonlinear equations with and without deviating arguments. Our assumptions on nonlinearity f are related to its behavior only in a neighbourhood of zero and/or of infinity.
Comparison theorems for noncanonical third order nonlinear differential equations
Ivan Mojsej, Ján Ohriska (2007)
Open Mathematics
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The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with quasiderivatives. We prove comparison theorems on property A between linear and nonlinear equations. Some integral criteria ensuring property A for nonlinear equations are also given. Our assumptions on the nonlinearity of f are restricted to its behavior only in a neighborhood of zero and a neighborhood of infinity.