# On solutions of third order nonlinear differential equations

Open Mathematics (2006)

- Volume: 4, Issue: 1, page 46-63
- ISSN: 2391-5455

## Access Full Article

top## Abstract

top## How to cite

topIvan Mojsej, and Ján Ohriska. "On solutions of third order nonlinear differential equations." Open Mathematics 4.1 (2006): 46-63. <http://eudml.org/doc/268806>.

@article{IvanMojsej2006,

abstract = {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.},

author = {Ivan Mojsej, Ján Ohriska},

journal = {Open Mathematics},

keywords = {34K11},

language = {eng},

number = {1},

pages = {46-63},

title = {On solutions of third order nonlinear differential equations},

url = {http://eudml.org/doc/268806},

volume = {4},

year = {2006},

}

TY - JOUR

AU - Ivan Mojsej

AU - Ján Ohriska

TI - On solutions of third order nonlinear differential equations

JO - Open Mathematics

PY - 2006

VL - 4

IS - 1

SP - 46

EP - 63

AB - 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.

LA - eng

KW - 34K11

UR - http://eudml.org/doc/268806

ER -

## References

top- [1] M. Cecchi, Z. Došlá and M. Marini: “On nonlinear oscillations for equations associated to disconjugate operators”, Nonlinear Anal.-Theor., Vol. 30(3), (1997), pp. 1583–1594. http://dx.doi.org/10.1016/S0362-546X(97)00028-X Zbl0892.34032
- [2] M. Cecchi, Z. Došlá and M. Marini: “Comparison theorems for third order differential equations”, Proc. Dynam. Systems Appl., Vol. 2, (1996), pp. 99–106. Zbl0873.34021
- [3] M. Cecchi, Z. Došlá and M. Marini: “Asymptotic behavior of solutions of third order delay differential equations”, Arch. Math. (Brno), Vol. 33, (1997), pp. 99–108. Zbl0916.34059
- [4] M. Cecchi, Z. Došlá and M. Marini: “Some properties of third order differential operators”, Czech. Math. J., Vol. 47(122), (1997), pp. 729–748. http://dx.doi.org/10.1023/A:1022878804065 Zbl0903.34032
- [5] M. Cecchi, Z. Došlá and M. Marini: “An Equivalence Theorem on Properties A, B for Third Order Differential Equations”, Ann. Mat. Pura Appl. (IV), Vol. CLXXIII, (1997), pp. 373–389. http://dx.doi.org/10.1007/BF01783478 Zbl0937.34029
- [6] T. Kusano and M. Naito: “Comparison theorems for functional differential equations with deviating arguments”, J. Math. Soc. Japan, Vol. 33(3), (1981), pp. 509–532. http://dx.doi.org/10.2969/jmsj/03330509 Zbl0494.34049

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.