Properties of zeros of solutions to third order nonlinear differential equations
Abstract
We investigate the behavior of zeros of solutions to the certain type of third order nonlinear differential equations. We show that the behavior of zeros may be rather different and depend on the nature of nonlinearity in the equation. Main results in the paper are illustrated with a number of examples.
Keywords:
third order nonlinear differential equations, zeros of solutions, dependence of zeros on initial data, super-linearity, sub-linearityHow to Cite
Smirnov, S. (2013). Properties of zeros of solutions to third order nonlinear differential equations. Mathematical Modelling and Analysis, 18(4), 480-488. https://doi.org/10.3846/13926292.2013.841298
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Copyright (c) 2013 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2013-09-01
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Copyright
Copyright (c) 2013 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Smirnov, S. (2013). Properties of zeros of solutions to third order nonlinear differential equations. Mathematical Modelling and Analysis, 18(4), 480-488. https://doi.org/10.3846/13926292.2013.841298