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://dx.doi.org/10.1007/978-3-319-08251-6_2.
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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
Original 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"
WWW URL
RIV identification code RIV/00216224:14310/14:00074235
Organization unit Faculty of Science
ISBN 978-3-319-08250-9
ISSN 2194-1009
Doi http://dx.doi.org/10.1007/978-3-319-08251-6_2
Keywords in English Half-linear equation; Oscillation; Intermediate solution
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 28/4/2015 15:18.
Abstract
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 projectName: Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace
Investor: Czech Science Foundation
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