Comparison theorems for noncanonical third order nonlinear differential equations |
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Authors: | Ivan Mojsej Ján Ohriska |
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Affiliation: | (1) Institute of Mathematics, Faculty of Science, P. J. Šafárik University, 041 54 Košice, Slovak Republic |
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Abstract: | 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. |
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Keywords: | Comparison theorem property A quasiderivative noncanonical form nonlinear equation |
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