Comparison Theorems for Second-Order Functional Differential
Equations

D 2014

Comparison Theorems for Second-Order Functional Differential Equations

DOŠLÁ, Zuzana and Mauro MARINI

Basic information

Original name

Comparison Theorems for Second-Order Functional Differential Equations

Authors

DOŠLÁ, Zuzana (203 Czech Republic, guarantor, belonging to the institution) and Mauro MARINI (380 Italy)

Edition

Basel, Recent Advances in Delay Differential and Difference Equations Springer Proceedings in Mathematics & Statistics Volume 94, 2014, pp 87-103, p. 87-103, 17 pp. 2014

Publisher

Springer International Publishing

Other information

Language

English

Type of outcome

Proceedings paper

Field of Study

10101 Pure mathematics

Country of publisher

Germany

Confidentiality degree

is not subject to a state or trade secret

Publication form

printed version "print"

References:

URL

RIV identification code

RIV/00216224:14310/14:00074235

Organization unit

Faculty of Science

ISBN

978-3-319-08250-9

ISSN

DOI

https://doi.org/10.1007/978-3-319-08251-6_2

EID Scopus

2-s2.0-84906877020

Keywords in English

Half-linear equation; Oscillation; Intermediate solution

Changed: 28/4/2015 15:18, Ing. Andrea Mikešková

Abstract

In the original language

The effect of the deviating argument on the existence of nonoscillatory solutions for second-order differential equations with p-Laplacian is studied by means of the comparison with a half-linear equation. As a consequence, necessary and sufficient conditions for the existence of the so-called intermediate solutions are given and the coexistence with different types of nonoscillatory solutions is analyzed. Moreover, new oscillation results are established too.

Links

GAP201/11/0768, research and development project

Name: Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace

Investor: Czech Science Foundation

Cite

DOŠLÁ, Zuzana and Mauro MARINI. Comparison Theorems for Second-Order Functional Differential Equations. In Ferenc Hartung, Mihaly Pituk. Recent Advances in Delay Differential and Difference Equations Springer Proceedings in Mathematics & Statistics Volume 94, 2014, pp 87-103. Basel: Springer International Publishing, 2014, p. 87-103. ISBN 978-3-319-08250-9. Available from: https://doi.org/10.1007/978-3-319-08251-6_2.

@inproceedings{1214550,
   author = {Došlá, Zuzana and Marini, Mauro},
   address = {Basel},
   booktitle = {Recent Advances in Delay Differential and Difference Equations Springer Proceedings in Mathematics & Statistics Volume 94, 2014, pp 87-103},
   doi = {https://doi.org/10.1007/978-3-319-08251-6_2},
   editor = {Ferenc Hartung, Mihaly Pituk},
   keywords = {Half-linear equation; Oscillation; Intermediate solution},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {Basel},
   isbn = {978-3-319-08250-9},
   pages = {87-103},
   publisher = {Springer International Publishing},
   title = {Comparison Theorems for Second-Order Functional Differential Equations},
   url = {http://link.springer.com/chapter/10.1007/978-3-319-08251-6_2},
   year = {2014}
}

TY  - CONF
ID  - 1214550
AU  - Došlá, Zuzana - Marini, Mauro
PY  - 2014
TI  - Comparison Theorems for Second-Order Functional Differential Equations
PB  - Springer International Publishing
CY  - Basel
SN  - 9783319082509
KW  - Half-linear equation
KW  - Oscillation
KW  - Intermediate solution
UR  - http://link.springer.com/chapter/10.1007/978-3-319-08251-6_2
L2  - http://link.springer.com/chapter/10.1007/978-3-319-08251-6_2
N2  - The effect of the deviating argument on the existence of nonoscillatory solutions for second-order differential equations with p-Laplacian is studied by means of the comparison with a half-linear equation. As a consequence, necessary and sufficient conditions for the existence of the so-called intermediate solutions are given and the coexistence with different types of nonoscillatory solutions is analyzed. Moreover, new oscillation results are established too.
ER  -

DOŠLÁ, Zuzana and Mauro MARINI. Comparison Theorems for Second-Order Functional Differential Equations. In Ferenc Hartung, Mihaly Pituk. \textit{Recent Advances in Delay Differential and Difference Equations Springer Proceedings in Mathematics \&{} Statistics Volume 94, 2014, pp 87-103}. Basel: Springer International Publishing, 2014, p.~87-103. ISBN~978-3-319-08250-9. Available from: https://doi.org/10.1007/978-3-319-08251-6\_{}2.

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