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Hartman-Wintner type criteria for half-linear second order differential equations
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| dc.title | Hartman-Wintner type criteria for half-linear second order differential equations | en |
| dc.contributor.author | Pátíková, Zuzana | |
| dc.relation.ispartof | Mathematica Bohemica | |
| dc.identifier.issn | 0862-7959 Scopus Sources, Sherpa/RoMEO, JCR | |
| dc.date.issued | 2007 | |
| utb.relation.volume | 132 | |
| utb.relation.issue | 3 | |
| dc.citation.spage | 243 | |
| dc.citation.epage | 256 | |
| dc.type | article | |
| dc.language.iso | en | |
| dc.publisher | Inst Mathematics, As Cr | |
| dc.relation.uri | http://emis.muni.cz/journals/MB/132.3/3.html | |
| dc.subject | half-linear differential equation | en |
| dc.subject | Hartman-Wintner criterion | en |
| dc.subject | Riccati equation | en |
| dc.subject | principal solution | en |
| dc.description.abstract | We establish Hartman-Wintner type criteria for the half -linear second order differential equation (r(t)Phi 1.(x'))' + c(t)Phi(x) = 0, Phi(x) =vertical bar x vertical bar P(-2)x, p > 1, where this equation is viewed as a perturbation of another equation of the same form. | en |
| utb.faculty | Faculty of Applied Informatics | |
| dc.identifier.uri | http://hdl.handle.net/10563/1010722 | |
| utb.identifier.obdid | 15553058 | |
| utb.identifier.wok | 000215948000003 | |
| utb.source | J-wok | |
| dc.date.accessioned | 2021-12-17T14:35:13Z | |
| dc.date.available | 2021-12-17T14:35:13Z | |
| dc.description.sponsorship | Grant Agency of the Czech RepublicGrant Agency of the Czech Republic [201/04/0580] | |
| utb.ou | Department of Mathematics | |
| utb.contributor.internalauthor | Pátíková, Zuzana | |
| utb.fulltext.affiliation | Zuzana Pátíková, Zlín Author’s address: Zuzana Pátíková, Department of Mathematics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 760 05 Zlín, Czech Republic, e-mail: patikova@fai.utb.cz. | |
| utb.fulltext.dates | Received February 28, 2006 | |
| utb.fulltext.references | [1] T. Chantladre, N. Kandelaki, A. Lomtatidze: Oscillation and nonoscillation criteria for a second order linear equation. Georgian Math. J. 6 (1999), 401–414. zbl [2] O. Došlý: Half-Linear Differential Equations (A. Ca˜nada, P. Drábek, A. Fonda, eds.). Handbook of Differential Equations: Ordinary Differential Equations, Vol. I, Elsevier, Amsterdam, 2004, pp. 161–357. zbl [3] O. Došlý, A. Lomtatidze: Oscillation and nonoscillation criteria for half-linear second order differential equations. To appear in Hiroshima Math. J. [4] O. Došlý, Z. Pátíková: Hille-Wintner type comparison criteria for half-linear second order differential equations. Arch. Math., Brno 42 (2006), 185–194. [5] O. Došlý, P. Řehák: Half-Linear Differential Equations. North Holland Mathematics Studies 202, Elsevier, Amsterdam, 2005. zbl [6] O. Došlý, J. Řezníčková: Regular half-linear second order differential equations. Arch. Math. 39 (2003), 233–245. [7] P. Hartman: Ordinary Differential Equations. SIAM, Philadelphia, 2002. zbl [8] Á. Elbert, T. Kusano: Principal solutions of nonoscillatory half-linear differential equations. Adv. Math. Sci. Appl. 18 (1998), 745–759. zbl [9] Á. Elbert, A. Schneider: Perturbations of the half-linear Euler differential equation. Result. Math. 37 (2000), 56–83. zbl [10] J. Jaroš, T. Kusano: A Picone type identity for half-linear differential equations. Acta Math. Univ. Comenianea 68 (1999), 137–151. zbl [11] N. Kandelaki, A. Lomtatidze, D. Ugulava: On oscillation and nonoscillation of a second order half-linear equation. Georgian Math. J. 2 (2000), 329–346. zbl [12] H. J. Li, C. C. Yeh: Oscillations of half-linear second order differential equations. Hiroshima Math. J. 25 (1995), 585–594. zbl [13] J. D. Mirzov: Analogue of the Hartman theorem. Diff. Urav. 25 (1989), 216–222. (In Russian.) zbl [14] J. D. Mirzov: Asymptotic Properties of Solutions of Systems of Nonlinear Nonautonomous Ordinary Differential Equations. Masaryk University Press, Brno, 2004. [15] J. D. Mirzov: Principal and nonprincipal solutions of a nonoscillatory system. Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy 31 (1988), 100–117. zbl [16] J. Řezníčková: Half-linear Hartman-Wintner theorems. Stud. Univ. Žilina Math. Ser. 15 (2002), 56–66. | |
| utb.fulltext.sponsorship | - | |
| utb.wos.affiliation | [Patikova, Zuzana] Tomas Bata Univ Zlin, Dept Math, Nad Stranemi 4511, CZ-76005 Zlin, Czech Republic | |
| utb.fulltext.projects | - | |
| utb.fulltext.faculty | Faculty of Applied Informatics | |
| utb.fulltext.ou | Department of Mathematics |
