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 “Properties of solutions to a second order nonlinear differential equation.”
A remark on the oscillation of ordinary second order nonlinear differential equations
Some remarks on a recent third order nonlinear oscillation result
G. G. Hamedani (1985)
Časopis pro pěstování matematiky
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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.
Oscillation criteria for second order nonlinear retarded differential equations
Jozef Džurina (2004)
Mathematica Slovaca
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On the third order nonlinear ordinary differential equation
Greguš, M.
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Generalized Picone's formula and forced oscillations in quasilinear differential equations of the second order
Jaroslav Jaroš, Takaŝi Kusano, N. Yoshida (2002)
Archivum Mathematicum
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In the paper a comparison theory of Sturm-Picone type is developed for the pair of nonlinear second-order ordinary differential equations first of which is the quasilinear differential equation with an oscillatory forcing term and the second is the so-called half-linear differential equation. Use is made of a new nonlinear version of the Picone’s formula.