Comparison Theorems for Second-Order Functional Differential
Equations

D 2014

Comparison Theorems for Second-Order Functional Differential Equations

DOŠLÁ, Zuzana a Mauro MARINI

Základní údaje

Originální název

Comparison Theorems for Second-Order Functional Differential Equations

Autoři

DOŠLÁ, Zuzana (203 Česká republika, garant, domácí) a Mauro MARINI (380 Itálie)

Vydání

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

Nakladatel

Springer International Publishing

Další údaje

Jazyk

angličtina

Typ výsledku

Stať ve sborníku

Obor

10101 Pure mathematics

Stát vydavatele

Německo

Utajení

není předmětem státního či obchodního tajemství

Forma vydání

tištěná verze "print"

Odkazy

URL

Kód RIV

RIV/00216224:14310/14:00074235

Organizační jednotka

Přírodovědecká fakulta

ISBN

978-3-319-08250-9

ISSN

DOI

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

EID Scopus

2-s2.0-84906877020

Klíčová slova anglicky

Half-linear equation; Oscillation; Intermediate solution

Změněno: 28. 4. 2015 15:18, Ing. Andrea Mikešková

Anotace

V originále

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.

Návaznosti

GAP201/11/0768, projekt VaV

Název: Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace

Investor: Grantová agentura ČR, Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace

Citovat

DOŠLÁ, Zuzana a 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, s. 87-103. ISBN 978-3-319-08250-9. Dostupné z: https://dx.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 = {http://dx.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 a 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, s.~87-103. ISBN~978-3-319-08250-9. Dostupné z: https://dx.doi.org/10.1007/978-3-319-08251-6\_{}2.

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